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Earnings Per Share - Additional Information (Details) - shares
3 Months Ended 6 Months Ended
Mar. 31, 2025
Mar. 31, 2024
Mar. 31, 2025
Mar. 31, 2024
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]        
Total assumed weighted average common shares outstanding (in shares) 3,138,711 3,154,771 3,143,213 3,159,180
Options        
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]        
Antidilutive securities excluded from computation of earnings per share (in shares)   22,500   22,500
Pro Forma        
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]        
Total assumed weighted average common shares outstanding (in shares)   3,173,021   3,177,549