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Stock-Based Compensation - Restricted Stock and Restricted Stock Units (Details) - USD ($)
$ / shares in Units, $ in Millions
3 Months Ended 9 Months Ended
Feb. 28, 2022
Feb. 28, 2022
Feb. 28, 2021
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)   $ 158.94 $ 112.44
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 7 months 6 days  
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) $ 250.52    
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 $ 629 $ 629