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Common Stock and Stock Compensation - Compensation Costs (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Share-Based Payment Arrangement [Abstract]      
Share-based compensation costs $ 5,053 $ 3,946 $ (5,094)
Income tax expense (benefit) on share-based compensation $ (557) $ 561 $ 420