| Document and Entity Information Document | Feb. 24, 2021 | Nov. 13, 2020 |
| Entity Information [Line Items] | ||
| Document Type | 8-K | |
| Document Period End Date | Feb. 24, 2021 | |
| Entity Registrant Name | TRITON INTERNATIONAL LIMITED | |
| Entity Central Index Key | 0001660734 | |
| Amendment Flag | false | |
| Entity Incorporation, State or Country Code | D0 | |
| Entity File Number | 001-37827 | |
| Entity Tax Identification Number | 98-1276572 | |
| Entity Address, Address Line One | Victoria Place | |
| Entity Address, Address Line Two | 5th Floor, 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 | |
| Written Communications | false | |
| Soliciting Material | false | |
| Pre-commencement Tender Offer | false | |
| Pre-commencement Issuer Tender Offer | false | |
| Entity Emerging Growth Company | false | |
| New York Stock Exchange | 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 | 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 | 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 | 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 | 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 |
