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v3.19.1

Subsequent Events (Details) - USD ($) $ / shares in Units, $ in Millions | Jun. 27, 2019 | Apr. 25, 2019 | Mar. 31, 2019 | Aug. 01, 2018
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Subsequent Event [Line Items] |  |  |  |
Cash Dividends, Approved |  |  | $ 0.53125 |
Subsequent Event [Member] |  |  |  |
Subsequent Event [Line Items] |  |  |  |
Dividend approved and declared (in dollars per share) | $ 0.52 |  |  |
Series A Cumulative Redeemable Perpetual Preferred Shares [Member] |  |  |  |
Subsequent Event [Line Items] |  |  |  |
Debt Instrument, Interest Rate, Stated Percentage |  |  | 8.50% |
Common Stock [Member] |  |  |  |
Subsequent Event [Line Items] |  |  |  |
Stock Repurchase Program, Authorized Amount |  |  |  | $ 200
Common Stock [Member] | Subsequent Event [Member] |  |  |  |
Subsequent Event [Line Items] |  |  |  |
Stock Repurchase Program, Authorized Amount |  | $ 200 |  |

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- Definition Cash Dividends, Approved + References No definition available. + Details
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Namespace Prefix: | trtn_
Data Type: | num:perShareItemType
Balance Type: | na
Period Type: | instant

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- Definition Contractual interest rate for funds borrowed, under the debt agreement. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 210 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SX 210.5-02.22(a)(1)) -URI http://asc.fasb.org/extlink&oid=6877327&loc=d3e13212-122682 + Details
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- Definition The per share amount of a dividend declared, but not paid, as of the financial reporting date. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 230 -SubTopic 10 -Section 50 -Paragraph 3 -URI http://asc.fasb.org/extlink&oid=98513485&loc=d3e4304-108586 + Details
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Period Type: | instant

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- Definition Amount of stock repurchase plan authorized. + References No definition available. + Details
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Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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- Definition Detail information of subsequent event by type. User is expected to use existing line items from elsewhere in the taxonomy as the primary line items for this disclosure, which is further associated with dimension and member elements pertaining to a subsequent event. + References No definition available. + Details
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Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Details
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Namespace Prefix: |
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Period Type: |

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- Details
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Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

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- Details
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Namespace Prefix: |
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Period Type: |