<?xml version='1.0' encoding='utf-8'?>
<FilingSummary>
  <Version>3.25.0.1</Version>
  <ProcessingTime/>
  <ReportFormat>html</ReportFormat>
  <ContextCount>256</ContextCount>
  <ElementCount>392</ElementCount>
  <EntityCount>1</EntityCount>
  <FootnotesReported>false</FootnotesReported>
  <SegmentCount>86</SegmentCount>
  <ScenarioCount>0</ScenarioCount>
  <TuplesReported>false</TuplesReported>
  <UnitCount>5</UnitCount>
  <MyReports>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R1.htm</HtmlFileName>
      <LongName>0000001 - Document - Document and Entity Information</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/DocumentandEntityInformation</Role>
      <ShortName>Document and Entity Information</ShortName>
      <MenuCategory>Cover</MenuCategory>
      <Position>1</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R2.htm</HtmlFileName>
      <LongName>0000002 - Document - Audit Information</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/AuditInformation</Role>
      <ShortName>Audit Information</ShortName>
      <MenuCategory>Cover</MenuCategory>
      <Position>2</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R3.htm</HtmlFileName>
      <LongName>9952151 - Statement - Consolidated Balance Sheets</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/ConsolidatedBalanceSheets</Role>
      <ShortName>Consolidated Balance Sheets</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>3</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R4.htm</HtmlFileName>
      <LongName>9952152 - Statement - Consolidated Balance Sheets (Parenthetical)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/ConsolidatedBalanceSheetsParenthetical</Role>
      <ShortName>Consolidated Balance Sheets (Parenthetical)</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>4</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R5.htm</HtmlFileName>
      <LongName>9952153 - Statement - Consolidated Statements of Operations</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/ConsolidatedStatementsofOperations</Role>
      <ShortName>Consolidated Statements of Operations</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>5</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R6.htm</HtmlFileName>
      <LongName>9952154 - Statement - Consolidated Statements of Comprehensive Income</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/ConsolidatedStatementsofComprehensiveIncome</Role>
      <ShortName>Consolidated Statements of Comprehensive Income</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>6</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R7.htm</HtmlFileName>
      <LongName>9952155 - Statement - Consolidated Statements of Comprehensive Income (Parenthetical)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/ConsolidatedStatementsofComprehensiveIncomeParenthetical</Role>
      <ShortName>Consolidated Statements of Comprehensive Income (Parenthetical)</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>7</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R8.htm</HtmlFileName>
      <LongName>9952156 - Statement - Consolidated Statements of Stockholders' Equity</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/ConsolidatedStatementsofStockholdersEquity</Role>
      <ShortName>Consolidated Statements of Stockholders' Equity</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>8</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R9.htm</HtmlFileName>
      <LongName>9952157 - Statement - Consolidated Statements of Stockholders' Equity (Parenthetical)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/ConsolidatedStatementsofStockholdersEquityParenthetical</Role>
      <ShortName>Consolidated Statements of Stockholders' Equity (Parenthetical)</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>9</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R10.htm</HtmlFileName>
      <LongName>9952158 - Statement - Consolidated Statements of Cash Flows</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/ConsolidatedStatementsofCashFlows</Role>
      <ShortName>Consolidated Statements of Cash Flows</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>10</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R11.htm</HtmlFileName>
      <LongName>9952159 - Disclosure - Description of the Business and Basis of Presentation</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/DescriptionoftheBusinessandBasisofPresentation</Role>
      <ShortName>Description of the Business and Basis of Presentation</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>11</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R12.htm</HtmlFileName>
      <LongName>9952160 - Disclosure - Summary of Significant Accounting Policies</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/SummaryofSignificantAccountingPolicies</Role>
      <ShortName>Summary of Significant Accounting Policies</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>12</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R13.htm</HtmlFileName>
      <LongName>9952161 - Disclosure - Merger</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/Merger</Role>
      <ShortName>Merger</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>13</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R14.htm</HtmlFileName>
      <LongName>9952162 - Disclosure - Equipment Held for Sale</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/EquipmentHeldforSale</Role>
      <ShortName>Equipment Held for Sale</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>14</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R15.htm</HtmlFileName>
      <LongName>9952163 - Disclosure - Intangible Assets</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/IntangibleAssets</Role>
      <ShortName>Intangible Assets</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>15</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R16.htm</HtmlFileName>
      <LongName>9952164 - Disclosure - Restricted Cash</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/RestrictedCash</Role>
      <ShortName>Restricted Cash</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>16</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R17.htm</HtmlFileName>
      <LongName>9952165 - Disclosure - Debt</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/Debt</Role>
      <ShortName>Debt</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>17</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R18.htm</HtmlFileName>
      <LongName>9952166 - Disclosure - Derivative Instruments</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/DerivativeInstruments</Role>
      <ShortName>Derivative Instruments</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>18</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R19.htm</HtmlFileName>
      <LongName>9952167 - Disclosure - Leases</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/Leases</Role>
      <ShortName>Leases</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>19</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R20.htm</HtmlFileName>
      <LongName>9952168 - Disclosure - Other Compensation Costs</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/OtherCompensationCosts</Role>
      <ShortName>Other Compensation Costs</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>20</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R21.htm</HtmlFileName>
      <LongName>9952169 - Disclosure - Other Equity Matters</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/OtherEquityMatters</Role>
      <ShortName>Other Equity Matters</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>21</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R22.htm</HtmlFileName>
      <LongName>9952170 - Disclosure - Segment and Geographic Information</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/SegmentandGeographicInformation</Role>
      <ShortName>Segment and Geographic Information</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>22</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R23.htm</HtmlFileName>
      <LongName>9952171 - Disclosure - Income Taxes</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/IncomeTaxes</Role>
      <ShortName>Income Taxes</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>23</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R24.htm</HtmlFileName>
      <LongName>9952172 - Disclosure - Other Postemployement Benefits</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/OtherPostemployementBenefits</Role>
      <ShortName>Other Postemployement Benefits</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>24</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R25.htm</HtmlFileName>
      <LongName>9952173 - Disclosure - Commitments and Contingencies</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/CommitmentsandContingencies</Role>
      <ShortName>Commitments and Contingencies</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>25</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R26.htm</HtmlFileName>
      <LongName>9952174 - Disclosure - Related Party</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/RelatedParty</Role>
      <ShortName>Related Party</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>26</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R27.htm</HtmlFileName>
      <LongName>9952175 - Disclosure - Subsequent Events</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/SubsequentEvents</Role>
      <ShortName>Subsequent Events</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>27</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R28.htm</HtmlFileName>
      <LongName>9955511 - Disclosure - Summary of Significant Accounting Policies (Policies)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/SummaryofSignificantAccountingPoliciesPolicies</Role>
      <ShortName>Summary of Significant Accounting Policies (Policies)</ShortName>
      <MenuCategory>Policies</MenuCategory>
      <ParentRole>http://www.tritoncontainer.com/role/SummaryofSignificantAccountingPolicies</ParentRole>
      <Position>28</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R29.htm</HtmlFileName>
      <LongName>9955512 - Disclosure - Summary of Significant Accounting Policies (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/SummaryofSignificantAccountingPoliciesTables</Role>
      <ShortName>Summary of Significant Accounting Policies (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.tritoncontainer.com/role/SummaryofSignificantAccountingPolicies</ParentRole>
      <Position>29</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R30.htm</HtmlFileName>
      <LongName>9955513 - Disclosure - Equipment Held for Sale (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/EquipmentHeldforSaleTables</Role>
      <ShortName>Equipment Held for Sale (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.tritoncontainer.com/role/EquipmentHeldforSale</ParentRole>
      <Position>30</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R31.htm</HtmlFileName>
      <LongName>9955514 - Disclosure - Restricted Cash (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/RestrictedCashTables</Role>
      <ShortName>Restricted Cash (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.tritoncontainer.com/role/RestrictedCash</ParentRole>
      <Position>31</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R32.htm</HtmlFileName>
      <LongName>9955515 - Disclosure - Debt (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/DebtTables</Role>
      <ShortName>Debt (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.tritoncontainer.com/role/Debt</ParentRole>
      <Position>32</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R33.htm</HtmlFileName>
      <LongName>9955516 - Disclosure - Derivative Instruments (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/DerivativeInstrumentsTables</Role>
      <ShortName>Derivative Instruments (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.tritoncontainer.com/role/DerivativeInstruments</ParentRole>
      <Position>33</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R34.htm</HtmlFileName>
      <LongName>9955517 - Disclosure - Leases (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/LeasesTables</Role>
      <ShortName>Leases (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.tritoncontainer.com/role/Leases</ParentRole>
      <Position>34</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R35.htm</HtmlFileName>
      <LongName>9955518 - Disclosure - Other Compensation Costs (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/OtherCompensationCostsTables</Role>
      <ShortName>Other Compensation Costs (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.tritoncontainer.com/role/OtherCompensationCosts</ParentRole>
      <Position>35</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R36.htm</HtmlFileName>
      <LongName>9955519 - Disclosure - Other Equity Matters (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/OtherEquityMattersTables</Role>
      <ShortName>Other Equity Matters (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.tritoncontainer.com/role/OtherEquityMatters</ParentRole>
      <Position>36</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R37.htm</HtmlFileName>
      <LongName>9955520 - Disclosure - Segment and Geographic Information (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/SegmentandGeographicInformationTables</Role>
      <ShortName>Segment and Geographic Information (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.tritoncontainer.com/role/SegmentandGeographicInformation</ParentRole>
      <Position>37</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R38.htm</HtmlFileName>
      <LongName>9955521 - Disclosure - Income Taxes - (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/IncomeTaxesTables</Role>
      <ShortName>Income Taxes - (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.tritoncontainer.com/role/IncomeTaxes</ParentRole>
      <Position>38</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R39.htm</HtmlFileName>
      <LongName>9955522 - Disclosure - Subsequent Events (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/SubsequentEventsTables</Role>
      <ShortName>Subsequent Events (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.tritoncontainer.com/role/SubsequentEvents</ParentRole>
      <Position>39</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R40.htm</HtmlFileName>
      <LongName>9955523 - Disclosure - Summary of Significant Accounting Policies - Concentration of Credit Risk (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/SummaryofSignificantAccountingPoliciesConcentrationofCreditRiskDetails</Role>
      <ShortName>Summary of Significant Accounting Policies - Concentration of Credit Risk (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>40</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R41.htm</HtmlFileName>
      <LongName>9955524 - Disclosure - Summary of Significant Accounting Policies - Leasing Equipment (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/SummaryofSignificantAccountingPoliciesLeasingEquipmentDetails</Role>
      <ShortName>Summary of Significant Accounting Policies - Leasing Equipment (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>41</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R42.htm</HtmlFileName>
      <LongName>9955525 - Disclosure - Summary of Significant Accounting Policies - Other Narrative (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/SummaryofSignificantAccountingPoliciesOtherNarrativeDetails</Role>
      <ShortName>Summary of Significant Accounting Policies - Other Narrative (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>42</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R43.htm</HtmlFileName>
      <LongName>9955526 - Disclosure - Equipment Held for Sale (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/EquipmentHeldforSaleDetails</Role>
      <ShortName>Equipment Held for Sale (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.tritoncontainer.com/role/EquipmentHeldforSaleTables</ParentRole>
      <Position>43</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R44.htm</HtmlFileName>
      <LongName>9955527 - Disclosure - Equipment Held for Sale - Narrative (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/EquipmentHeldforSaleNarrativeDetails</Role>
      <ShortName>Equipment Held for Sale - Narrative (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>44</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R45.htm</HtmlFileName>
      <LongName>9955528 - Disclosure - Intangible Assets (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/IntangibleAssetsDetails</Role>
      <ShortName>Intangible Assets (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.tritoncontainer.com/role/IntangibleAssets</ParentRole>
      <Position>45</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R46.htm</HtmlFileName>
      <LongName>9955529 - Disclosure - Restricted Cash (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/RestrictedCashDetails</Role>
      <ShortName>Restricted Cash (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.tritoncontainer.com/role/RestrictedCashTables</ParentRole>
      <Position>46</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R47.htm</HtmlFileName>
      <LongName>9955530 - Disclosure - Restricted Cash - Narrative (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/RestrictedCashNarrativeDetails</Role>
      <ShortName>Restricted Cash - Narrative (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>47</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R48.htm</HtmlFileName>
      <LongName>9955531 - Disclosure - Debt - Key Term and Carrying Value (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/DebtKeyTermandCarryingValueDetails</Role>
      <ShortName>Debt - Key Term and Carrying Value (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>48</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R49.htm</HtmlFileName>
      <LongName>9955532 - Disclosure - Debt - Narrative (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/DebtNarrativeDetails</Role>
      <ShortName>Debt - Narrative (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>49</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R50.htm</HtmlFileName>
      <LongName>9955533 - Disclosure - Debt - Outstanding Debt (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/DebtOutstandingDebtDetails</Role>
      <ShortName>Debt - Outstanding Debt (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>50</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R51.htm</HtmlFileName>
      <LongName>9955534 - Disclosure - Debt - Debt Maturities (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/DebtDebtMaturitiesDetails</Role>
      <ShortName>Debt - Debt Maturities (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>51</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R52.htm</HtmlFileName>
      <LongName>9955535 - Disclosure - Derivative Instruments - Narrative (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/DerivativeInstrumentsNarrativeDetails</Role>
      <ShortName>Derivative Instruments - Narrative (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>52</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R53.htm</HtmlFileName>
      <LongName>9955536 - Disclosure - Derivative Instruments - Interest Rate Swap/Caps (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/DerivativeInstrumentsInterestRateSwapCapsDetails</Role>
      <ShortName>Derivative Instruments - Interest Rate Swap/Caps (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>53</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R54.htm</HtmlFileName>
      <LongName>9955537 - Disclosure - Derivative Instruments - Summary of Derivative Instruments (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/DerivativeInstrumentsSummaryofDerivativeInstrumentsDetails</Role>
      <ShortName>Derivative Instruments - Summary of Derivative Instruments (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>54</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R55.htm</HtmlFileName>
      <LongName>9955538 - Disclosure - Leases -Lessee, Balance Sheet and Income Statement Effect (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/LeasesLesseeBalanceSheetandIncomeStatementEffectDetails</Role>
      <ShortName>Leases -Lessee, Balance Sheet and Income Statement Effect (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>55</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R56.htm</HtmlFileName>
      <LongName>9955539 - Disclosure - Leases - Narrative (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/LeasesNarrativeDetails</Role>
      <ShortName>Leases - Narrative (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>56</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R57.htm</HtmlFileName>
      <LongName>9955540 - Disclosure - Leases - Schedule of Weighted-Average Operating Lease (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/LeasesScheduleofWeightedAverageOperatingLeaseDetails</Role>
      <ShortName>Leases - Schedule of Weighted-Average Operating Lease (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>57</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R58.htm</HtmlFileName>
      <LongName>9955541 - Disclosure - Leases - Operating Leases Lessee Maturities (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/LeasesOperatingLeasesLesseeMaturitiesDetails</Role>
      <ShortName>Leases - Operating Leases Lessee Maturities (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>58</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R59.htm</HtmlFileName>
      <LongName>9955542 - Disclosure - Leases - Schedule of components of the net investment in finance leases (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/LeasesScheduleofcomponentsofthenetinvestmentinfinanceleasesDetails</Role>
      <ShortName>Leases - Schedule of components of the net investment in finance leases (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>59</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R60.htm</HtmlFileName>
      <LongName>9955543 - Disclosure - Leases - Maturities Of Gross Finance Lease Receivables (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/LeasesMaturitiesOfGrossFinanceLeaseReceivablesDetails</Role>
      <ShortName>Leases - Maturities Of Gross Finance Lease Receivables (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>60</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R61.htm</HtmlFileName>
      <LongName>9955544 - Disclosure - Other Compensation Costs (Narrative) (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/OtherCompensationCostsNarrativeDetails</Role>
      <ShortName>Other Compensation Costs (Narrative) (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.tritoncontainer.com/role/OtherCompensationCostsTables</ParentRole>
      <Position>61</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R62.htm</HtmlFileName>
      <LongName>9955545 - Disclosure - Other Compensation Costs - Disclosure of Share-Based Compensation Arrangements by Share-Based Payment Award (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/OtherCompensationCostsDisclosureofShareBasedCompensationArrangementsbyShareBasedPaymentAwardDetails</Role>
      <ShortName>Other Compensation Costs - Disclosure of Share-Based Compensation Arrangements by Share-Based Payment Award (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>62</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R63.htm</HtmlFileName>
      <LongName>9955546 - Disclosure - Other Equity Matters (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/OtherEquityMattersDetails</Role>
      <ShortName>Other Equity Matters (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.tritoncontainer.com/role/OtherEquityMattersTables</ParentRole>
      <Position>63</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R64.htm</HtmlFileName>
      <LongName>9955547 - Disclosure - Other Equity Matters - Preferred Shares (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/OtherEquityMattersPreferredSharesDetails</Role>
      <ShortName>Other Equity Matters - Preferred Shares (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>64</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R65.htm</HtmlFileName>
      <LongName>9955548 - Disclosure - Other Equity Matters - Dividend Payment (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/OtherEquityMattersDividendPaymentDetails</Role>
      <ShortName>Other Equity Matters - Dividend Payment (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>65</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R66.htm</HtmlFileName>
      <LongName>9955549 - Disclosure - Segment and Geographic Information (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/SegmentandGeographicInformationDetails</Role>
      <ShortName>Segment and Geographic Information (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.tritoncontainer.com/role/SegmentandGeographicInformationTables</ParentRole>
      <Position>66</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R67.htm</HtmlFileName>
      <LongName>9955550 - Disclosure - Segment and Geographic Information - Segment Information (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/SegmentandGeographicInformationSegmentInformationDetails</Role>
      <ShortName>Segment and Geographic Information - Segment Information (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>67</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R68.htm</HtmlFileName>
      <LongName>9955551 - Disclosure - Segment and Geographic Information - Geographic Allocation (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/SegmentandGeographicInformationGeographicAllocationDetails</Role>
      <ShortName>Segment and Geographic Information - Geographic Allocation (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>68</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R69.htm</HtmlFileName>
      <LongName>9955552 - Disclosure - Income Taxes - Components of Current and Deferred (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/IncomeTaxesComponentsofCurrentandDeferredDetails</Role>
      <ShortName>Income Taxes - Components of Current and Deferred (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>69</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R70.htm</HtmlFileName>
      <LongName>9955553 - Disclosure - Income Taxes - Schedule of Effective Income Tax Rate Reconciliation (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/IncomeTaxesScheduleofEffectiveIncomeTaxRateReconciliationDetails</Role>
      <ShortName>Income Taxes - Schedule of Effective Income Tax Rate Reconciliation (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>70</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R71.htm</HtmlFileName>
      <LongName>9955554 - Disclosure - Income Taxes - Schedule of Deferred Tax Assets and Liabilities (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/IncomeTaxesScheduleofDeferredTaxAssetsandLiabilitiesDetails</Role>
      <ShortName>Income Taxes - Schedule of Deferred Tax Assets and Liabilities (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>71</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R72.htm</HtmlFileName>
      <LongName>9955555 - Disclosure - Income Taxes - Narrative (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/IncomeTaxesNarrativeDetails</Role>
      <ShortName>Income Taxes - Narrative (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>72</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R73.htm</HtmlFileName>
      <LongName>9955556 - Disclosure - Income Taxes - Interest and Penalty Expenses (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/IncomeTaxesInterestandPenaltyExpensesDetails</Role>
      <ShortName>Income Taxes - Interest and Penalty Expenses (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>73</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R74.htm</HtmlFileName>
      <LongName>9955557 - Disclosure - Income Taxes - Components of Income Taxes (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/IncomeTaxesComponentsofIncomeTaxesDetails</Role>
      <ShortName>Income Taxes - Components of Income Taxes (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>74</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R75.htm</HtmlFileName>
      <LongName>9955558 - Disclosure - Other Postemployement Benefits (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/OtherPostemployementBenefitsDetails</Role>
      <ShortName>Other Postemployement Benefits (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.tritoncontainer.com/role/OtherPostemployementBenefits</ParentRole>
      <Position>75</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R76.htm</HtmlFileName>
      <LongName>9955559 - Disclosure - Commitments and Contingencies (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/CommitmentsandContingenciesDetails</Role>
      <ShortName>Commitments and Contingencies (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.tritoncontainer.com/role/CommitmentsandContingencies</ParentRole>
      <Position>76</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R77.htm</HtmlFileName>
      <LongName>9955560 - Disclosure - Related Party (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/RelatedPartyDetails</Role>
      <ShortName>Related Party (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.tritoncontainer.com/role/RelatedParty</ParentRole>
      <Position>77</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R78.htm</HtmlFileName>
      <LongName>9955561 - Disclosure - Subsequent Events - Schedule of Dividends Payable (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/SubsequentEventsScheduleofDividendsPayableDetails</Role>
      <ShortName>Subsequent Events - Schedule of Dividends Payable (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>78</Position>
    </Report>
    <Report instance="trtn-20241231.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R79.htm</HtmlFileName>
      <LongName>9955562 - Disclosure - Subsequent Events - Narrative (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.tritoncontainer.com/role/SubsequentEventsNarrativeDetails</Role>
      <ShortName>Subsequent Events - Narrative (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>79</Position>
    </Report>
    <Report>
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <LongName>All Reports</LongName>
      <ReportType>Book</ReportType>
      <ShortName>All Reports</ShortName>
    </Report>
  </MyReports>
  <InputFiles>
    <File doctype="20-F" isDefinitelyFs="true" isUsgaap="true" original="trtn-20241231.htm">trtn-20241231.htm</File>
    <File>trtn-20241231.xsd</File>
    <File>trtn-20241231_cal.xml</File>
    <File>trtn-20241231_def.xml</File>
    <File>trtn-20241231_lab.xml</File>
    <File>trtn-20241231_pre.xml</File>
  </InputFiles>
  <SupplementalFiles>
    <File>trtn-20241231_g1.jpg</File>
    <File>trtn-20241231_g2.gif</File>
  </SupplementalFiles>
  <BaseTaxonomies>
    <BaseTaxonomy items="867">http://fasb.org/us-gaap/2024</BaseTaxonomy>
    <BaseTaxonomy items="60">http://xbrl.sec.gov/dei/2024</BaseTaxonomy>
  </BaseTaxonomies>
  <HasPresentationLinkbase>true</HasPresentationLinkbase>
  <HasCalculationLinkbase>true</HasCalculationLinkbase>
</FilingSummary>
