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Income Taxes - Reconciliation of Effective Income Tax Rate (Details)
12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Income Tax Disclosure [Abstract]      
Statutory income tax rate 21.00% 21.00% 21.00%
State income tax 2.30% 1.70% 1.90%
Tax-exempt interest income (2.10%) (1.20%) (0.90%)
Interest expense disallowance 1.20% 0.50% 0.10%
Low-income housing investments (1.10%) (1.30%) (0.90%)
Other differences 0.60% 0.10% 0.00%
Effective income tax rate 21.90% 20.80% 21.20%