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Property and Equipment, Net of Accumulated Depreciation (Details) - USD ($)
$ in Millions
12 Months Ended
May 31, 2016
May 31, 2015
May 31, 2014
Property, Plant and Equipment [Line Items]      
Total property and equipment, gross $ 1,012.2 $ 973.4  
Less: Accumulated depreciation 659.2 619.5  
Property and equipment, net of accumulated depreciation 353.0 353.9  
Depreciation expense 99.2 92.1 $ 89.1
Land and Improvements [Member]      
Property, Plant and Equipment [Line Items]      
Total property and equipment, gross 8.3 8.3  
Buildings and Improvements [Member]      
Property, Plant and Equipment [Line Items]      
Total property and equipment, gross 103.0 102.1  
Data Processing Equipment [Member]      
Property, Plant and Equipment [Line Items]      
Total property and equipment, gross 196.1 190.9  
Software [Member]      
Property, Plant and Equipment [Line Items]      
Total property and equipment, gross 447.5 391.8  
Furniture, Fixtures, and Equipment [Member]      
Property, Plant and Equipment [Line Items]      
Total property and equipment, gross 125.0 145.6  
Leasehold Improvements [Member]      
Property, Plant and Equipment [Line Items]      
Total property and equipment, gross 108.2 106.2  
Construction in Progress [Member]      
Property, Plant and Equipment [Line Items]      
Total property and equipment, gross $ 24.1 $ 28.5