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Schedule I Condensed Statement of Cash Flows (Details) - USD ($)
$ in Thousands
 12 Months Ended
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2016
Condensed Financial Statements, Captions [Line Items]        
Preferred Stock, Dividends, Per Share, Cash Paid $ (12,323)      
Net Income (Loss) Attributable to Parent 353,279 $ 356,672 $ 353,526  
Other assets 2,385 1,559 (3,065)  
Issuance (redemption) of common shares (5,666) (1,385) (70)  
Payments of Ordinary Dividends, Common Stock (153,861) (160,289) (135,557)  
Other (1,281) 0 241  
Cash, Cash Equivalents, Restricted Cash and Restricted Cash Equivalents 168,972 159,539 226,171 $ 163,492
Triton International Limited Holdings [Domain]        
Condensed Financial Statements, Captions [Line Items]        
Preferred Stock, Dividends, Per Share, Cash Paid (12,323) 0 0  
Net Income (Loss) Attributable to Parent 352,687 349,555 344,598  
Income (Loss) from Subsidiaries, before Tax (359,508) (354,955) (348,609)  
Proceeds from Dividends Received 338,569 220,304 197,171  
Share-based compensation 1,403 1,252 1,084  
Other assets (3,696) 409 2,622  
Net cash provided by operating activities 329,455 216,565 196,866  
Payments to Acquire Interest in Subsidiaries and Affiliates (291,997) (40,000) (254,240)  
Net Cash Provided by (Used in) Investing Activities, Continuing Operations (291,997) (40,000) (254,240)  
Issuance (redemption) of preferred shares 392,242 0 0  
Issuance (redemption) of common shares 0 0 192,931  
Purchases of Treasury Shares (222,236) (56,274) 0  
Intercompany Loan Transfer (40,000) 40,000 0  
Payments of Ordinary Dividends, Common Stock (153,861) (160,289) (135,557)  
Other (1,281) 0 0  
Net Cash Provided by (Used in) Financing Activities, Continuing Operations (37,459) (176,563) 57,374  
Cash and Cash Equivalents, Period Increase (Decrease) (1) 2 0  
Cash, Cash Equivalents, Restricted Cash and Restricted Cash Equivalents $ 1 $ 2 $ 0 $ 0