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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%