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Share-based Compensation - Awards Granted to Company Employees and Non-employee Directors Under the 2007 Equity Incentive Compensation Plan (Details)
6 Months Ended
Mar. 31, 2022
$ / shares
shares
Non-qualified stock options  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Granted (in shares) | shares 961,570
Weighted-Average Grant Date Fair Value (in dollars per share) $ 43.16
Weighted-Average Exercise Price (in dollars per share) $ 200.86
Restricted stock units  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Granted (in shares) | shares 2,922,004
Weighted-Average Grant Date Fair Value (in dollars per share) $ 202.56
Performance-based shares  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Granted (in shares) | shares 440,722
Weighted-Average Grant Date Fair Value (in dollars per share) $ 186.50