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Goodwill and Intangible Assets, Net of Accumulated Amortization (Components of Intangible Assets, at Cost) (Details) - USD ($) $ in Millions | Feb. 29, 2020 | May 31, 2019
--- | --- | ---
Intangible Assets [Line Items] |  |
Total intangible assets, gross | $ 640.0 | $ 631.2
Less: Accumulated amortization | 292.0 | 232.1
Intangible assets, net of accumulated amortization | 348.0 | 399.1
Other Intangible Assets [Member] |  |
Intangible Assets [Line Items] |  |
Total intangible assets, gross | 23.2 | 23.0
Client Lists [Member] |  |
Intangible Assets [Line Items] |  |
Total intangible assets, gross | $ 616.8 | $ 608.2

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