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Stock-Based Compensation Plans - Schedule of Unvested RSUs (Details) - Restricted Stock Units (RSUs) - $ / shares
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Number of Share Units    
Unvested units beginning balance (in shares) 1,535,367  
Granted (in shares) 875,934  
Vested (in shares) (432,816)  
Forfeited/canceled (in shares) (87,210)  
Unvested units ending balance (in shares) 1,891,275 1,535,367
Weighted-Average Grant Date Fair Value    
Unvested and outstanding beginning balance (in dollars per share) $ 32.29  
Granted (in dollars per share) 44.38 $ 32.23
Vested (in dollars per share) 29.75  
Forfeited/canceled (in dollars per share) 31.73  
Unvested and outstanding ending balance (in dollars per share) $ 38.50 $ 32.29