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Stock-Based Compensation - Restricted Stock and Restricted Stock Units (Details) - USD ($)
$ / shares in Units, $ in Millions
3 Months Ended
Aug. 31, 2021
Aug. 31, 2020
Restricted Stock and Restricted Stock Units    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Weighted average grant date fair value (in dollars per share) $ 161.46 $ 98.47
Unrecognized compensation costs from stock options, net of estimated forfeitures, to be recognized as operating overhead expense over a weighted average period (in years) 2 years 6 months  
Performance Based Restricted Stock (PSUs)    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Weighted average grant date fair value (in dollars per share) $ 247.06  
Restricted Stock, Restricted Stock Units and Performance Based Restricted Stock Units    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Unrecognized compensation costs from restricted stock, net of estimated forfeitures $ 527