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Equity and Stock-Based Compensation - Summary of Stock Option Activity (Details) - $ / shares
12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Options      
Outstanding at end of period 1,087,016    
Employee Stock Option      
Options      
Outstanding at beginning of period 672,924 589,341 608,269
Granted 620,500 322,500 135,500
Exercised (15,000) (168,318) (124,475)
Forfeited/expired (191,408) (70,599) (29,953)
Outstanding at end of period 1,087,016 672,924 589,341
Exercisable at end of period 532,185 374,728 358,343
Weighted average grant-date fair value of options granted during the period $ 2.5 $ 4.73 $ 6.39
Weighted Average Exercise Price      
Outstanding at beginning of period 8.76 8.06 6.48
Granted 5.66 9.04 12.8
Exercised 5.67 6.01 5.78
Forfeited/expired 9.12 10.73 6.92
Outstanding at end of period 6.97 8.76 8.06
Exercisable at end of period $ 7.64 $ 8.25 $ 6.92