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Summary of Significant Accounting Policies - Property, Plant and Equipment and Investments (Details) - USD ($)
$ in Millions
12 Months Ended
May 31, 2023
May 31, 2022
May 31, 2021
Investments      
Rotable asset impairment charges $ 1.0 $ 2.9 $ 9.1
Gain on investments related to an observable price increase 0.9    
Impairment loss investments over which we do not have the ability to exercise significant influence 1.0    
Future rent due to us under non-cancelable leases      
2024 17.7    
2025 17.8    
2026 15.6    
2027 10.4    
2028 $ 7.5    
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
Manufacturing facilities | Expeditionary Services      
Investments      
Impairment and related charges     $ 2.6