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Summary of Significant Accounting Policies - Property, Plant and Equipment and Investments (Details) - USD ($)
$ in Millions
12 Months Ended
May 31, 2022
May 31, 2021
May 31, 2020
Investments      
Rotable asset impairment charges $ 2.9 $ 9.1 $ 8.1
Future rent due to us under non-cancelable leases      
2023 20.5    
2024 20.1    
2025 19.8    
2026 16.5    
2027 $ 10.3    
Building and improvements | Minimum      
Property, Plant and Equipment      
Useful life 10 years    
Building and improvements | Maximum      
Property, Plant and Equipment      
Useful life 40 years    
Equipment | Minimum      
Property, Plant and Equipment      
Useful life 3 years    
Equipment | Maximum      
Property, Plant and Equipment      
Useful life 10 years    
Furniture and fixtures | Minimum      
Property, Plant and Equipment      
Useful life 3 years    
Furniture and fixtures | Maximum      
Property, Plant and Equipment      
Useful life 10 years    
Capitalized software | Minimum      
Property, Plant and Equipment      
Useful life 3 years    
Capitalized software | Maximum      
Property, Plant and Equipment      
Useful life 10 years    
Rotable parts | Aviation Services      
Investments      
Rotable asset impairment charges   5.8  
Rotable parts | Contract termination      
Investments      
Rotable asset impairment charges $ 2.3    
Rotable parts | Product line exits      
Investments      
Rotable asset impairment charges $ 1.0 1.4 $ 1.9
Manufacturing facilities | Expeditionary Services      
Investments      
Impairment and related charges   $ 2.6