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Derivative Instruments (Details) - Interest Rate, Maturing March 31, 2026 [Member]	Mar. 29, 2019 USD ($)
Interest Rate Swap, Agreement One [Member]
Derivative Instruments
Notional amount	$ 100,000,000.000
Interest Rate Swap, Agreement Two [Member]
Derivative Instruments
Notional amount	$ 100,000,000.000

X

- Definition

Aggregate notional amount specified by the derivative(s). Expressed as an absolute value.

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef
-Publisher SEC
-Name Regulation S-X (SX)
-Number 210
-Article 12
-Section 13
-Sentence Column B

+ Details

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Namespace Prefix:	invest_
Data Type:	xbrli:monetaryItemType
Balance Type:	na
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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Balance Type:	na
Period Type:	duration

X

- Details

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Namespace Prefix:
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X

- Details

Name:	us-gaap_DerivativeInstrumentRiskAxis=trtn_InterestRateMaturingMarch312026Member
Namespace Prefix:
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X

- Details

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Namespace Prefix:
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