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Subsequent Events (Details) - USD ($) $ / shares in Units, $ in Millions	Jun. 27, 2019	Apr. 25, 2019	Mar. 31, 2019	Aug. 01, 2018
Subsequent Event [Line Items]
Cash Dividends, Approved			$ 0.53125
Subsequent Event [Member]
Subsequent Event [Line Items]
Dividend approved and declared (in dollars per share)	$ 0.52
Series A Cumulative Redeemable Perpetual Preferred Shares [Member]
Subsequent Event [Line Items]
Debt Instrument, Interest Rate, Stated Percentage			8.50%
Common Stock [Member]
Subsequent Event [Line Items]
Stock Repurchase Program, Authorized Amount				$ 200
Common Stock [Member] | Subsequent Event [Member]
Subsequent Event [Line Items]
Stock Repurchase Program, Authorized Amount		$ 200

X

- Definition

Cash Dividends, Approved

+ References

No definition available.

+ Details

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Namespace Prefix:	trtn_
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Balance Type:	na
Period Type:	instant

X

- Definition

Contractual interest rate for funds borrowed, under the debt agreement.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 210
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02.22(a)(1))
-URI http://asc.fasb.org/extlink&oid=6877327&loc=d3e13212-122682

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X

- Definition

The per share amount of a dividend declared, but not paid, as of the financial reporting date.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 230
-SubTopic 10
-Section 50
-Paragraph 3
-URI http://asc.fasb.org/extlink&oid=98513485&loc=d3e4304-108586

+ Details

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X

- Definition

Amount of stock repurchase plan authorized.

+ References

No definition available.

+ Details

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X

- Definition

Detail information of subsequent event by type. User is expected to use existing line items from elsewhere in the taxonomy as the primary line items for this disclosure, which is further associated with dimension and member elements pertaining to a subsequent event.

+ References

No definition available.

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- Details

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- Details

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