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Derivatives and Hedging Activities - Summary of Fair Value, Notional Amount and Balance Sheet Classification (Details) - USD ($)
$ in Thousands
Mar. 31, 2025
Sep. 30, 2024
Other assets    
Derivatives, Fair Value [Line Items]    
Notional amount $ 3,532,069 $ 1,981,554
Derivative assets, fair value 176,788 165,624
Other liabilities    
Derivatives, Fair Value [Line Items]    
Notional amount 1,427,728 3,614,512
Derivative liabilities, fair value 56,498 48,055
Client swap program hedges | Other assets    
Derivatives, Fair Value [Line Items]    
Notional amount 1,027,728 1,044,512
Derivative assets, fair value 47,257 46,758
Client swap program hedges | Other liabilities    
Derivatives, Fair Value [Line Items]    
Notional amount 1,027,728 1,044,512
Derivative liabilities, fair value 47,816 47,388
Commercial loan fair value hedges | Other assets    
Derivatives, Fair Value [Line Items]    
Notional amount 34,341 37,042
Derivative assets, fair value 1,989 1,595
Commercial loan fair value hedges | Other liabilities    
Derivatives, Fair Value [Line Items]    
Notional amount 0 0
Derivative liabilities, fair value 0 0
Mortgage loan fair value hedges | Other assets    
Derivatives, Fair Value [Line Items]    
Notional amount 1,570,000 0
Derivative assets, fair value 6,876 0
Mortgage loan fair value hedges | Other liabilities    
Derivatives, Fair Value [Line Items]    
Notional amount 2,570,000
Derivative liabilities, fair value 0 667
Mortgage backed securities fair value hedges | Other assets    
Derivatives, Fair Value [Line Items]    
Notional amount 0  
Derivative assets, fair value 0  
Mortgage backed securities fair value hedges | Other liabilities    
Derivatives, Fair Value [Line Items]    
Notional amount 400,000  
Derivative liabilities, fair value 8,682  
Borrowings cash flow hedges | Other assets    
Derivatives, Fair Value [Line Items]    
Notional amount 900,000 900,000
Derivative assets, fair value 120,666 117,271
Borrowings cash flow hedges | Other liabilities    
Derivatives, Fair Value [Line Items]    
Notional amount 0 0
Derivative liabilities, fair value $ 0 $ 0