Quarterly report pursuant to Section 13 or 15(d)

Property and Equipment, Net of Accumulated Depreciation (Components of Property and Equipment, at Cost) (Details)

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Property and Equipment, Net of Accumulated Depreciation (Components of Property and Equipment, at Cost) (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Feb. 28, 2017
Feb. 29, 2016
Feb. 28, 2017
Feb. 29, 2016
May 31, 2016
Property, Plant and Equipment [Line Items]          
Total property and equipment, gross $ 1,032.2   $ 1,032.2   $ 1,012.2
Less: Accumulated depreciation 690.6   690.6   659.2
Property and equipment, net of accumulated depreciation 341.6   341.6   353.0
Depreciation expense 26.4 $ 25.1 77.2 $ 73.8  
Land and Improvements [Member]          
Property, Plant and Equipment [Line Items]          
Total property and equipment, gross 8.3   8.3   8.3
Buildings and Improvements [Member]          
Property, Plant and Equipment [Line Items]          
Total property and equipment, gross 103.3   103.3   103.0
Data Processing Equipment [Member]          
Property, Plant and Equipment [Line Items]          
Total property and equipment, gross 196.7   196.7   196.1
Software [Member]          
Property, Plant and Equipment [Line Items]          
Total property and equipment, gross 475.4   475.4   447.5
Furniture, Fixtures, and Equipment [Member]          
Property, Plant and Equipment [Line Items]          
Total property and equipment, gross 113.6   113.6   125.0
Leasehold Improvements [Member]          
Property, Plant and Equipment [Line Items]          
Total property and equipment, gross 108.6   108.6   108.2
Construction in Progress [Member]          
Property, Plant and Equipment [Line Items]          
Total property and equipment, gross $ 26.3   $ 26.3   $ 24.1