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Document and Entity Information - USD ($)
 12 Months Ended
Dec. 31, 2019
Feb. 07, 2020
Jun. 30, 2019
Entity Information [Line Items]      
Document Type 10-K    
Document Annual Report true    
Document Period End Date Dec. 31, 2019    
Document Transition Report false    
Entity File Number 001-37827    
Entity Registrant Name Triton International Limited    
Entity Incorporation, State or Country Code D0    
Entity Tax Identification Number 98-1276572    
Entity Address, Address Line One Victoria Place    
Entity Address, Address Line Two 5th Floor    
Entity Address, Address Line Three 31 Victoria Street    
Entity Address, City or Town Hamilton    
Entity Address, Postal Zip Code HM 10    
Entity Address, Country BM    
City Area Code 441    
Local Phone Number 294-8033    
Entity Well-known Seasoned Issuer Yes    
Entity Voluntary Filers No    
Entity Current Reporting Status Yes    
Entity Interactive Data Current Yes    
Entity Filer Category Large Accelerated Filer    
Entity Small Business false    
Entity Emerging Growth Company false    
Entity Shell Company false    
Entity Public Float     $ 1,764,800,000
Entity Common Stock, Shares Outstanding   72,102,416  
Documents Incorporated by Reference
DOCUMENTS INCORPORATED BY REFERENCE
Part of Form 10-K
Document Incorporated by Reference
Part III, Items 10, 11, 12, 13, and 14
Portion of the Registrant's proxy statement to be filed in connection with the Annual Meeting of Shareholders of the Registrant to be held on April 21, 2020.
    
Entity Central Index Key 0001660734    
Current Fiscal Year End Date --12-31    
Document Fiscal Year Focus 2019    
Document Fiscal Period Focus FY    
Amendment Flag false    
NEW YORK STOCK EXCHANGE, INC. [Member] | Common shares, $0.01 par value per share      
Entity Information [Line Items]      
Title of 12(b) Security    Common shares, $0.01 par value per share    
Trading Symbol TRTN    
Security Exchange Name NYSE    
NEW YORK STOCK EXCHANGE, INC. [Member] | 8.50% Series A Cumulative Redeemable Perpetual Preference Shares      
Entity Information [Line Items]      
Title of 12(b) Security 8.50% Series A Cumulative Redeemable Perpetual Preference Shares    
Trading Symbol TRTN PRA    
Security Exchange Name NYSE    
NEW YORK STOCK EXCHANGE, INC. [Member] | 8.00% Series B Cumulative Redeemable Perpetual Preference Shares      
Entity Information [Line Items]      
Title of 12(b) Security 8.00% Series B Cumulative Redeemable Perpetual Preference Shares    
Trading Symbol TRTN PRB    
Security Exchange Name NYSE    
NEW YORK STOCK EXCHANGE, INC. [Member] | 7.375% Series C Cumulative Redeemable Perpetual Preference Shares      
Entity Information [Line Items]      
Title of 12(b) Security 7.375% Series C Cumulative Redeemable Perpetual Preference Shares    
Trading Symbol TRTN PRC    
Security Exchange Name NYSE    
NEW YORK STOCK EXCHANGE, INC. [Member] | 6.875% Series D Cumulative Redeemable Perpetual Preference Shares      
Entity Information [Line Items]      
Title of 12(b) Security 6.875% Series D Cumulative Redeemable Perpetual Preference Shares    
Trading Symbol TRTN PRD    
Security Exchange Name NYSE