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Commitments and Contingencies (Details) $ in Millions	Dec. 31, 2023 USD ($) shares
Commitments and Contingencies Disclosure [Abstract]
Purchase commitment payable | $	$ 129.1
Common Shares Appraised, Shares | shares	1,184,300
Percentage of Common Shares Appraised	2.15%

X

- Definition

Common Shares Appraised, Shares

+ References

No definition available.

+ Details

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Namespace Prefix:	trtn_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	instant

X

- Definition

Percentage of Common Shares Appraised

+ References

No definition available.

+ Details

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Namespace Prefix:	trtn_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	instant

X

- References

No definition available.

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Amount of the unrecorded obligation to transfer funds in the future for fixed or minimum amounts or quantities of goods or services at fixed or minimum prices (for example, as in take-or-pay contracts or throughput contracts).

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 440
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 4
-Subparagraph (b)
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147482648/440-10-50-4

+ Details

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