Annual report pursuant to Section 13 and 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
May 31, 2019
May 31, 2018
Property, Plant and Equipment [Line Items]    
Total property and equipment, gross $ 1,274.8 $ 1,182.7
Less: Accumulated depreciation 866.1 789.2
Property and equipment, net of accumulated depreciation 408.7 393.5 [1]
Land and Improvements [Member]    
Property, Plant and Equipment [Line Items]    
Total property and equipment, gross 10.8 10.6
Buildings and Improvements [Member]    
Property, Plant and Equipment [Line Items]    
Total property and equipment, gross 162.9 126.4
Data Processing Equipment [Member]    
Property, Plant and Equipment [Line Items]    
Total property and equipment, gross 221.6 211.3
Software [Member]    
Property, Plant and Equipment [Line Items]    
Total property and equipment, gross [2] 626.6 545.5
Furniture, Fixtures, and Equipment [Member]    
Property, Plant and Equipment [Line Items]    
Total property and equipment, gross 117.2 114.5
Leasehold Improvements [Member]    
Property, Plant and Equipment [Line Items]    
Total property and equipment, gross 105.4 111.4
Construction in Progress [Member]    
Property, Plant and Equipment [Line Items]    
Total property and equipment, gross [2] $ 30.3 $ 63.0
[1] Amounts have been adjusted to reflect the adoption of ASC Topic 606 and to provide further detail related to certain professional employer organization ("PEO") balances.
[2] Software includes both purchased software and costs capitalized related to internally developed software placed in service. Capitalized costs related to internally developed software that has not yet been placed in service is included in construction in progress.