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Earnings Per Share & Diluted Earnings Per Share - Additional Information (Details) - shares
12 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
Stock Options      
Antidilutive Securities Excluded From Computation Of Earnings Per Share [Line Items]      
Antidilutive securities excluded from computation of earnings per share (in shares) 327,000 189,000 101,000