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Interest Rate Swap (Details) - Interest Rate Swap [Member] $ in Millions	3 Months Ended
	Mar. 31, 2019 USD ($)
Fair Value of Derivative Instruments
Net Notional Amount of Interest Rate Agreements	$ 1,753.3
Net Notional Amount of Interest Rate During Period	2.24%
Weighted Average Remaining Term	4 years 5 months 7 days

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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_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

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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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Namespace Prefix:	trtn_
Data Type:	num:percentItemType
Balance Type:	na
Period Type:	duration

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

Name:	us-gaap_DerivativeInstrumentRiskAxis=us-gaap_InterestRateSwapMember
Namespace Prefix:
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Balance Type:
Period Type: