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Goodwill and Intangible Assets, Net of Accumulated Amortization (Components of Intangible Assets, at Cost) (Details) - USD ($) $ in Millions | Feb. 28, 2019 | May 31, 2018
--- | --- | ---
Intangible Assets [Line Items] |  |  |  |
Total intangible assets, gross |  | $ 632.1 | $ 321.8 |
Less: Accumulated amortization |  | 211.2 | 180.4 |
Intangible assets, net of accumulated amortization |  | 420.9 | 141.4 | [1]
Other Intangible Assets [Member] |  |  |  |
Intangible Assets [Line Items] |  |  |  |
Total intangible assets, gross | [2] | 23.4 | 13.3 |
Client Lists [Member] |  |  |  |
Intangible Assets [Line Items] |  |  |  |
Total intangible assets, gross | [2] | $ 608.7 | $ 308.5 |
[1] | Amounts have been adjusted to reflect the adoption of ASC Topic 606.
[2] | Client lists and other intangible assets include current estimates of amounts acquired from Oasis as of December 20, 2018. Refer to Note D for further details.

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