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Derivative Instruments - Interest Rate Swap/Caps (Details) $ in Millions	9 Months Ended
	Sep. 30, 2023 USD ($)
Interest Rate Swap
Fair Value of Derivative Instruments
Weighted Average Fixed Leg (Pay) Interest Rate	2.49%
Weighted Average Remaining Term	2 years 10 months 24 days
Designated as Hedging Instrument | Interest Rate Swap
Fair Value of Derivative Instruments
Notional Amount (in millions)	$ 1,609.0
Designated as Hedging Instrument | Forward Starting Swaps
Fair Value of Derivative Instruments
Weighted Average Remaining Term	4 years
Total Notional amount forward starting interest rate swap	$ 350.0

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- Definition

Weighted average remaining period until maturity of net outstanding interest rate swap agreements, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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No definition available.

+ Details

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Balance Type:	na
Period Type:	duration

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- Definition

The net notional amount of interest rate swap/cap agreements, which relate to the currency amounts specified in the related agreement.

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No definition available.

+ Details

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Namespace Prefix:	trtn_
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Balance Type:	debit
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- Definition

Net Notional Amount of Interest Rate During Period

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No definition available.

+ Details

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Data Type:	dtr-types1:percentItemType
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- Definition

Total Notional Amount Forward Starting Interest Rate Swap

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No definition available.

+ Details

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- 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.

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No definition available.

+ Details

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Data Type:	xbrli:stringItemType
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X

- Details

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X

- Details

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Balance Type:
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X

- Details

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