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Goodwill and Intangible Assets, Net of Accumulated Amortization (Components of Intangible Assets, at Cost) (Details) - USD ($) $ in Millions | Aug. 31, 2019 | May 31, 2019
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Intangible Assets [Line Items] |  |
Total intangible assets, gross | $ 632.4 | $ 631.2
Less: Accumulated amortization | 252.9 | 232.1
Intangible assets, net of accumulated amortization | 379.5 | 399.1
Other Intangible Assets [Member] |  |
Intangible Assets [Line Items] |  |
Total intangible assets, gross | 23.4 | 23.0
Client Lists [Member] |  |
Intangible Assets [Line Items] |  |
Total intangible assets, gross | $ 609.0 | $ 608.2

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