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Stock-Based Compensation - Restricted Stock Unit Activity - Tabular Disclosure (Details) - Restricted Stock Units (RSUs) - $ / shares
3 Months Ended 6 Months Ended
Mar. 31, 2022
Mar. 31, 2021
Mar. 31, 2022
Mar. 31, 2021
Shares        
Outstanding at beginning of period (in shares)     1,088,652  
Restricted stocks granted (in shares)     228,468 329,801
Vested (in shares)     (208,713)  
Forfeited (in shares)     (553,624)  
Outstanding at end of period (in shares) 554,783   554,783  
Weighted Average Grant-Date Fair Value        
Outstanding at beginning of period (in dollars per share)     $ 47.35  
Granted (in dollars per share) $ 82.34 $ 80.09 103.31 $ 70.18
Vested (in dollars per share)     40.03  
Forfeited (in dollars per share)     39.30  
Outstanding at end of period (in dollars per share) $ 75.14   $ 75.14