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Common Stock and Stock Compensation - Schedule of Compensation Costs Included in Net Income (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Share-Based Payment Arrangement [Abstract]      
Share-based compensation costs $ 10,406 $ 9,539 $ 5,053
Income tax benefit on share-based compensation $ (1,071) $ (1,125) $ (557)