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Goodwill and Intangible Assets, Net of Accumulated Amortization (Components of Intangible Assets, at Cost) (Details) - USD ($)
$ in Millions
May 31, 2019
May 31, 2018
Intangible Assets [Line Items]    
Total intangible assets, gross $ 631.2 $ 321.8
Less: Accumulated amortization 232.1 180.4
Intangible assets, net of accumulated amortization 399.1 141.4 [1]
Other Intangible Assets [Member]    
Intangible Assets [Line Items]    
Total intangible assets, gross 23.0 13.3
Client Lists [Member]    
Intangible Assets [Line Items]    
Total intangible assets, gross [2] $ 608.2 $ 308.5
[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] Client lists and other intangible assets include current estimates of amounts acquired from Oasis as of December 20, 2018. Refer to Note D of this Item 8 for further details.