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Equity and Stock-Based Compensation - Summary of Stock Option Activity (Details) - $ / shares
12 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
Options      
Outstanding at end of period 672,924    
Stock Options      
Options      
Outstanding at beginning of period 589,341 608,269 696,665
Granted 322,500 135,500 204,000
Exercised (168,318) (124,475) (241,320)
Forfeited/expired (70,599) (29,953) (51,076)
Outstanding at end of period 672,924 589,341 608,269
Exercisable at end of period 374,728 358,343 403,853
Weighted average grant-date fair value of options granted during the period $ 4.73 $ 6.39 $ 3.33
Weighted Average Exercise Price      
Outstanding at beginning of period 8.06 6.48 7
Granted 9.04 12.8 6.25
Exercised 6.01 5.78 6.4
Forfeited/expired 10.73 6.92 13.01
Outstanding at end of period 8.76 8.06 6.48
Exercisable at end of period $ 8.25 $ 6.92 $ 6.87