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Stock-Based Compensation Plans (Other Information Pertaining to Stock Option) (Details) - Stock Options [Member] - USD ($)
$ in Millions
12 Months Ended
May 31, 2022
May 31, 2021
May 31, 2020
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Total intrinsic value of stock options exercised $ 44.3 $ 58.5 $ 22.0
Total grant-date fair value of stock options vested $ 6.4 $ 6.0 $ 5.0