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Earnings Per Share - Additional Information (Details) - shares
12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Antidilutive Securities Excluded From Computation Of Earnings Per Share [Line Items]    
Diluted (in shares) 3,147,646 3,133,554
Stock Option    
Antidilutive Securities Excluded From Computation Of Earnings Per Share [Line Items]    
Antidilutive securities excluded from computation (in shares) 35,000 22,500
Pro Forma    
Antidilutive Securities Excluded From Computation Of Earnings Per Share [Line Items]    
Diluted (in shares) 3,162,456 3,153,033