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Leases - Schedule of Weighted-Average Operating Lease (Details)	Dec. 31, 2024	Dec. 31, 2023
Leases [Abstract]
Weighted-Average Discount Rate	5.67%	5.67%

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- Definition

Operating Lease, Weighted Average Implicit Rate, Percent

+ References

No definition available.

+ Details

Name:	trtn_OperatingLeaseWeightedAverageImplicitRatePercent
Namespace Prefix:	trtn_
Data Type:	dtr-types1:percentItemType
Balance Type:	na
Period Type:	instant

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- References

No definition available.

+ Details

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