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Other Non-current Assets - Investments in Joint Ventures (Details) - USD ($) $ in Millions | 1 Months Ended | 3 Months Ended | 12 Months Ended |
--- | --- | --- | --- | ---
Mar. 31, 2025 | Sep. 30, 2022 | Jun. 30, 2020 | Jun. 30, 2011 | Nov. 30, 2024 | May 31, 2025 | May 31, 2024 | May 31, 2023 | May 31, 2022 | Aug. 31, 2024
Investments in Joint Ventures |  |  |  |  |  |  |  |  |  |
Equity Method Investments |  |  |  |  |  | $ 32.3 | $ 35.8 |  |  |
License fees, net |  |  |  |  |  | 46.0 | 51.8 |  |  |
Income (losses) from joint ventures |  |  |  |  |  | 5.4 | (0.2) | $ (3.2) |  |
AAR sumisho aviation services |  |  |  |  |  |  |  |  |  |
Investments in Joint Ventures |  |  |  |  |  |  |  |  |  |
Income (losses) from joint ventures |  |  |  |  |  | 7.4 | 4.9 | 1.5 |  |
Unison Industries Member [Member] |  |  |  |  |  |  |  |  |  |
Investments in Joint Ventures |  |  |  |  |  |  |  |  |  |
Payments to Acquire Intangible Assets |  | $ 18.0 | $ 25.0 |  |  |  |  |  |  |
Finite-Lived License Agreements, Gross |  | $ 18.0 | $ 25.0 |  |  |  |  |  |  |
License fees, net |  |  |  |  |  | 29.4 |  |  |  |
Finite Lived Intangible Assets Term of Agreement |  | 1 year |  | 10 years |  |  |  |  |  |
Owned Through Joint Ventures | Aircraft |  |  |  |  |  |  |  |  |  |
Investments in Joint Ventures |  |  |  |  |  |  |  |  |  |
Payment for evaluation and inspection services, divestiture of aircraft |  |  |  |  |  | $ 2.1 | $ 1.6 | $ 1.0 |  |
Owned Through Joint Ventures | Joint venture in India to operate an airframe maintenance facility |  |  |  |  |  |  |  |  |  |
Investments in Joint Ventures |  |  |  |  |  |  |  |  |  |
Ownership interest in joint ventures (as a percent) |  |  |  |  |  | 40.00% |  |  |  |
Owned Through Joint Ventures | Joint venture in India |  |  |  |  |  |  |  |  |  |
Investments in Joint Ventures |  |  |  |  |  |  |  |  |  |
Conditional on the repayment of our loan |  |  |  |  |  |  |  |  |  | $ 0.1
Guarantee liability |  |  |  |  |  |  |  |  |  | $ 9.4
Principal value of our shareholder loan |  |  |  |  | $ 2.1 |  |  |  |  |
Percentage on outstanding debt |  |  |  |  |  | 40.00% |  |  |  |
Income (losses) from joint ventures |  |  |  |  |  | $ 2.1 |  |  | $ 0.7 |
Owned Through Joint Ventures | AAR sumisho aviation services |  |  |  |  |  |  |  |  |  |
Investments in Joint Ventures |  |  |  |  |  |  |  |  |  |
Ownership interest in joint ventures (as a percent) |  |  |  |  |  | 50.00% |  |  |  |
Owned Through Joint Ventures | Investment in xCelle Americas, LLC ("xCelle") |  |  |  |  |  |  |  |  |  |
Investments in Joint Ventures |  |  |  |  |  |  |  |  |  |
Ownership interest in joint ventures (as a percent) |  |  |  |  |  | 49.90% |  |  |  |
Loan given with semi-annual principal payments | $ 3.3 |  |  |  |  |  |  |  |  |
Term of the loan (in years) | 5 years |  |  |  |  |  |  |  |  |
Percentage of interest | 2.70% |  |  |  |  |  |  |  |  |

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