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Fair Value Measurements - Fair Value Measured on Recurring Basis (Details) - USD ($)
$ in Thousands
Dec. 31, 2024
Sep. 30, 2024
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value $ 2,743,731 $ 2,572,709
Total financial assets 3,228,837 2,973,755
Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 2,743,731 2,572,709
Total financial assets 2,974,989 2,738,333
Total financial liabilities 57,486 48,055
Recurring | Client swap program hedges    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Derivative assets 56,862 46,758
Derivative liabilities 57,486 47,388
Recurring | Commercial loan fair value hedges    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Derivative assets 2,423 1,595
Recurring | Mortgage loan fair value hedges    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Derivative assets 33,103 0
Derivative liabilities   667
Recurring | Borrowings cash flow hedges    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Derivative assets 138,870 117,271
Recurring | Level 1    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 0 0
Total financial assets 0 0
Total financial liabilities 0 0
Recurring | Level 1 | Client swap program hedges    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Derivative assets 0 0
Derivative liabilities 0 0
Recurring | Level 1 | Commercial loan fair value hedges    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Derivative assets 0 0
Recurring | Level 1 | Mortgage loan fair value hedges    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Derivative assets 0 0
Derivative liabilities  
Recurring | Level 1 | Borrowings cash flow hedges    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Derivative assets 0 0
Recurring | Level 2    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 2,743,731 2,572,709
Total financial assets 2,974,989 2,738,333
Total financial liabilities 57,486 48,055
Recurring | Level 2 | Client swap program hedges    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Derivative assets 56,862 46,758
Derivative liabilities 57,486 47,388
Recurring | Level 2 | Commercial loan fair value hedges    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Derivative assets 2,423 1,595
Recurring | Level 2 | Mortgage loan fair value hedges    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Derivative assets 33,103 0
Derivative liabilities   667
Recurring | Level 2 | Borrowings cash flow hedges    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Derivative assets 138,870 117,271
Recurring | Level 3    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 0 0
Total financial assets 0 0
Total financial liabilities 0 0
Recurring | Level 3 | Client swap program hedges    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Derivative assets 0 0
Derivative liabilities 0 0
Recurring | Level 3 | Commercial loan fair value hedges    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Derivative assets 0 0
Recurring | Level 3 | Mortgage loan fair value hedges    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Derivative assets 0 0
Derivative liabilities  
Recurring | Level 3 | Borrowings cash flow hedges    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Derivative assets 0 0
U.S. government and agency securities | Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 294,193 314,204
U.S. government and agency securities | Recurring | Level 1    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 0 0
U.S. government and agency securities | Recurring | Level 2    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 294,193 314,204
U.S. government and agency securities | Recurring | Level 3    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 0 0
Asset-backed securities | Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 546,782 540,125
Asset-backed securities | Recurring | Level 1    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 0 0
Asset-backed securities | Recurring | Level 2    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 546,782 540,125
Asset-backed securities | Recurring | Level 3    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 0
Municipal bonds | Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 34,793 35,073
Municipal bonds | Recurring | Level 1    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 0 0
Municipal bonds | Recurring | Level 2    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 34,793 35,073
Municipal bonds | Recurring | Level 3    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 0 0
Corporate debt securities | Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 267,874 296,282
Corporate debt securities | Recurring | Level 1    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 0 0
Corporate debt securities | Recurring | Level 2    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 267,874 296,282
Corporate debt securities | Recurring | Level 3    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 0 0
Agency pass-through certificates | Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 1,600,089 1,387,025
Agency pass-through certificates | Recurring | Level 1    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 0 0
Agency pass-through certificates | Recurring | Level 2    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 1,600,089 1,387,025
Agency pass-through certificates | Recurring | Level 3    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value $ 0 $ 0