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Summary of Significant Accounting Policies - Leasing Equipment (Details) - USD ($) $ in Thousands	Dec. 31, 2023	Dec. 31, 2022
Property, Plant and Equipment [Line Items]
Leasing equipment	$ 8,768,917	$ 9,530,396
Property Available for Operating Lease, Net	727,600	525,400
Dry container
Property, Plant and Equipment [Line Items]
Leasing equipment	6,926,220	7,550,616
Refrigerated container
Property, Plant and Equipment [Line Items]
Leasing equipment	1,182,683	1,364,012
Special container
Property, Plant and Equipment [Line Items]
Leasing equipment	316,062	287,106
Tank container
Property, Plant and Equipment [Line Items]
Leasing equipment	122,241	112,166
Chassis
Property, Plant and Equipment [Line Items]
Leasing equipment	$ 221,711	$ 216,496

X

- Definition

The amount of property available for lease, net of accumulated depreciation, as of the balance sheet date.

+ References

No definition available.

+ Details

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Namespace Prefix:	trtn_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

X

- Definition

Amount, after accumulated amortization, of right-of-use asset from finance lease.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 842
-SubTopic 20
-Name Accounting Standards Codification
-Section 45
-Paragraph 1
-Subparagraph (a)
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147479041/842-20-45-1

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

X

- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

+ References

No definition available.

+ Details

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X

- Details

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Namespace Prefix:
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X

- Details

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Namespace Prefix:
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Balance Type:
Period Type:

X

- Details

Name:	us-gaap_MajorPropertyClassAxis=trtn_SpecialContainerUnitsMember
Namespace Prefix:
Data Type:	na
Balance Type:
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X

- Details

Name:	us-gaap_MajorPropertyClassAxis=trtn_TankContainerUnitsMember
Namespace Prefix:
Data Type:	na
Balance Type:
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X

- Details

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Namespace Prefix:
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Balance Type:
Period Type: