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Goodwill and Intangible Assets, Net of Accumulated Amortization (Components of Intangible Assets, at Cost) (Details) - USD ($) $ in Millions | Aug. 31, 2018 | May 31, 2018
--- | --- | ---
Intangible Assets [Line Items] |  |  |
Total intangible assets, gross | $ 320.7 | $ 321.8 |
Less: Accumulated amortization | 185.2 | 180.4 |
Intangible assets, net of accumulated amortization | 135.5 | 141.4 | [1]
Client Lists [Member] |  |  |
Intangible Assets [Line Items] |  |  |
Total intangible assets, gross | 307.4 | 308.5 |
Other Intangible Assets [Member] |  |  |
Intangible Assets [Line Items] |  |  |
Total intangible assets, gross | $ 13.3 | $ 13.3 |
[1] | Amounts have been adjusted to reflect the adoption of ASC Topic 606.

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