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Summary of Significant Accounting Policies (Details 7) - USD ($)
$ in Millions
12 Months Ended
May. 31, 2015
May. 31, 2014
May. 31, 2013
Property, Plant and Equipment      
Equipment on or available for long-term lease $ 80.2 $ 98.4  
Supplemental Information on Cash Flows      
Interest paid 42.7 33.8 $ 28.3
Income taxes paid 105.6 17.3 24.1
Income tax refunds and interest received $ 12.1 7.5 $ 23.2
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    
Aircraft and components | Minimum      
Property, Plant and Equipment      
Useful life 7 years    
Aircraft and components | Maximum      
Property, Plant and Equipment      
Useful life 30 years    
Aircraft engines and rotable parts      
Property, Plant and Equipment      
Equipment on or available for long-term lease $ 80.2 73.1  
Aircraft      
Property, Plant and Equipment      
Equipment on or available for long-term lease   $ 25.3