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Goodwill and Intangible Assets, Net of Accumulated Amortization (Change in Goodwill) (Details) - USD ($)
$ in Millions
12 Months Ended
May 31, 2022
May 31, 2021
Goodwill and Intangible Assets Disclosure [Abstract]    
Goodwill Balance, beginning of fiscal year $ 1,820.7 $ 1,791.1
Changes during the period:    
Goodwill acquired 27.7 19.6
Currency translation adjustment (16.9) 10.0
Goodwill Balance, end of fiscal year $ 1,831.5 $ 1,820.7