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Stock-Based Compensation - Share-based Payment Arrangement, Activity (Details) - $ / shares
6 Months Ended
Mar. 31, 2023
Mar. 31, 2022
Restricted stock/units    
Number Granted    
Equity instruments other than options (in shares) 1,720,662 1,267,490
Weighted Average Grant Date Fair Value    
Equity instruments other than options (in dollars per share) $ 66.59 $ 78.50
Performance shares    
Number Granted    
Equity instruments other than options (in shares) 339,191 482,030
Weighted Average Grant Date Fair Value    
Equity instruments other than options (in dollars per share) $ 79.54 $ 82.88
Stock options    
Number Granted    
Equity instruments other than options (in shares) 570,140 548,398
Weighted Average Grant Date Fair Value    
Equity instruments other than options (in dollars per share) $ 18.21 $ 18.59