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Stock-Based Compensation - Summary of Stock Options Outstanding and Exercisable (Details) - $ / shares
12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2018
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Stock options - exercise price range, lower limit (in dollars per share) $ 1      
Stock Options Outstanding, Number Outstanding (in shares) 114,259 392,465 523,754 533,052
Stock Options Outstanding, Weighted Average Exercise Price (in dollars per share) $ 17.89 $ 15.47 $ 14.34 $ 14.26
Stock Options Exercisable, Number Exercisable (in shares) 113,309 354,796 470,501  
Stock Options Exercisable, Weighted Average Exercise Price (in dollars per share) $ 17.95 $ 15.90 $ 14.42  
$1 - $10        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Stock options - exercise price range, upper limit (in dollars per share) $ 10      
Stock Options Outstanding, Number Outstanding (in shares) 15,436      
Stock Options Outstanding - Weighted Average Contractual Remaining Life (Years) 4 years 7 months 6 days      
Stock Options Outstanding, Weighted Average Exercise Price (in dollars per share) $ 9.17      
Stock Options Exercisable, Number Exercisable (in shares) 14,536      
Stock Options Exercisable - Weighted Average Contractual Remaining Life (Years) 4 years 6 months      
Stock Options Exercisable, Weighted Average Exercise Price (in dollars per share) $ 9.09      
$11 - $15        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Stock options - exercise price range, lower limit (in dollars per share) 11      
Stock options - exercise price range, upper limit (in dollars per share) $ 15      
Stock Options Outstanding, Number Outstanding (in shares) 315      
Stock Options Outstanding - Weighted Average Contractual Remaining Life (Years) 3 years 6 months      
Stock Options Outstanding, Weighted Average Exercise Price (in dollars per share) $ 11.61      
Stock Options Exercisable, Number Exercisable (in shares) 265      
Stock Options Exercisable - Weighted Average Contractual Remaining Life (Years) 2 years 10 months 24 days      
Stock Options Exercisable, Weighted Average Exercise Price (in dollars per share) $ 11.36      
$16 -$20        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Stock options - exercise price range, lower limit (in dollars per share) 16      
Stock options - exercise price range, upper limit (in dollars per share) $ 20      
Stock Options Outstanding, Number Outstanding (in shares) 98,508      
Stock Options Outstanding - Weighted Average Contractual Remaining Life (Years) 7 months 6 days      
Stock Options Outstanding, Weighted Average Exercise Price (in dollars per share) $ 19.28      
Stock Options Exercisable, Number Exercisable (in shares) 98,508      
Stock Options Exercisable - Weighted Average Contractual Remaining Life (Years) 7 months 6 days      
Stock Options Exercisable, Weighted Average Exercise Price (in dollars per share) $ 19.28      
$1 - $20        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Stock options - exercise price range, lower limit (in dollars per share) 1      
Stock options - exercise price range, upper limit (in dollars per share) $ 20      
Stock Options Outstanding, Number Outstanding (in shares) 114,259      
Stock Options Outstanding - Weighted Average Contractual Remaining Life (Years) 1 year 2 months 12 days      
Stock Options Outstanding, Weighted Average Exercise Price (in dollars per share) $ 17.89      
Stock Options Exercisable, Number Exercisable (in shares) 113,309      
Stock Options Exercisable - Weighted Average Contractual Remaining Life (Years) 1 year 1 month 6 days      
Stock Options Exercisable, Weighted Average Exercise Price (in dollars per share) $ 17.95