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Income Taxes (Details) - USD ($)
3 Months Ended 6 Months Ended
Mar. 31, 2023
Mar. 31, 2022
Mar. 31, 2023
Mar. 31, 2022
Mar. 31, 2021
Income Tax Disclosure [Abstract]          
Estimated Annual Effective Tax Rate Used to Calculate Income Tax Expense (Benefit)     32.40% 22.60%  
Federal statutory income tax rate, percent 21.00%   21.00% 21.00%  
Income tax expense $ 2,522,000 $ 2,248,000 $ 6,412,000 $ 3,869,000  
Income before income taxes $ 13,154,000 $ 9,622,000 $ 26,312,000 17,331,000  
Effective income tax rate reconciliation, percent 19.20% 23.40% 24.40%   22.30%
Unrecognized tax benefits $ 1,850,000 $ 2,071,000 $ 1,850,000 $ 2,071,000