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Stock-Based Compensation - Restricted Stock Unit Activity - Tabular Disclosure (Details) - Restricted Stock Units (RSUs) - $ / shares
6 Months Ended
Mar. 31, 2024
Mar. 31, 2023
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares [Roll Forward]    
Outstanding at beginning of period (in shares) 718,954  
Restricted stocks granted (in shares) 608,706 572,111
Vested (in shares) (174,868)  
Forfeited (in shares) (298,806)  
Outstanding at end of period (in shares) 853,986  
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Additional Disclosures [Abstract]    
Outstanding at beginning of period (in dollars per share) $ 67.40  
Granted (in dollars per share) 55.69  
Vested (in dollars per share) 68.95  
Forfeited (in dollars per share) 63.75  
Outstanding at end of period (in dollars per share) $ 60.01