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Income Taxes (Reconciliation of Gross Unrecognized Tax Benefits, Not Including Interest or Other Potential Offsetting Effects) (Details) - USD ($) $ in Millions | 12 Months Ended
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May 31, 2019 | May 31, 2018 | May 31, 2017
Income Taxes [Abstract] |  |  |
Balance as of beginning of fiscal year | $ 14.9 | $ 43.7 | $ 64.7
Additions for tax positions of the current year | 3.8 | 2.3 | 8.2
Additions for tax positions of prior years | 5.2 | 0.1 | 4.8
Reductions for tax positions of prior years |  | (1.2) | (2.5)
Settlements with tax authorities | (1.2) | (28.6) | (29.5)
Expiration of the statute of limitations | (0.6) | (1.4) | (2.0)
Balance as of end of fiscal year | $ 22.1 | $ 14.9 | $ 43.7

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