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Fair Value Measurements - Assets and Liabilities Measured on Recurring Basis (Details) - USD ($)
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Estimate fair value [Member] | Recurring [Member]      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Mortgage loans held for sale $ 2,370,200,000 $ 2,021,100,000  
Mortgage servicing rights 10,600,000 4,100,000  
Estimate fair value [Member] | Recurring [Member] | Interest rate lock commitments [Member]      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Derivatives not designated as hedging instruments (135,800,000) 17,200,000  
Mortgage hedging instruments and commitments (183,500,000) (700,000)  
Estimate fair value [Member] | Recurring [Member] | Forward Sales Of MBS [Member]      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Derivatives not designated as hedging instruments 317,800,000 8,500,000  
Mortgage loans held for sale 2,386,000,000 2,027,300,000  
Mortgage servicing rights 10,600,000 4,100,000  
Mortgage hedging instruments and commitments (12,400,000) (1,000,000.0)  
Mortgage hedging instruments and commitments 330,200,000 8,700,000  
Loans Receivable [Member]      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Net transfers to (out of) Level 3 7,000,000.0 (400,000)  
Interest rate lock commitments [Member]      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Interest rate lock commitments 47,700,000 17,900,000  
Recurring [Member] | Level 1 [Member]      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Mortgage loans held for sale 0 0  
Mortgage servicing rights 0 0  
Recurring [Member] | Level 1 [Member] | Interest rate lock commitments [Member]      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Derivatives not designated as hedging instruments 0 0  
Recurring [Member] | Level 1 [Member] | Forward Sales Of MBS [Member]      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Derivatives not designated as hedging instruments 0 0  
Recurring [Member] | Level 2 [Member]      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Mortgage loans held for sale 2,356,100,000 2,009,400,000  
Mortgage servicing rights 0 0  
Recurring [Member] | Level 2 [Member] | Interest rate lock commitments [Member]      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Derivatives not designated as hedging instruments (135,800,000) 17,200,000  
Recurring [Member] | Level 2 [Member] | Forward Sales Of MBS [Member]      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Derivatives not designated as hedging instruments 317,800,000 8,500,000  
Recurring [Member] | Level 3 [Member]      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Debt securities collateralized by residential real estate   0 $ 3,900,000
Mortgage loans held for sale 14,100,000 11,700,000 15,100,000
Mortgage servicing rights 10,600,000 4,100,000 $ 17,100,000
Recurring [Member] | Level 3 [Member] | Measurement Input, Prepayment Rate [Member]      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Servicing Asset at Fair Value, Amount 0.12    
Recurring [Member] | Level 3 [Member] | Measurement Input, Discount Rate [Member]      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Servicing Asset at Fair Value, Amount 0.11    
Recurring [Member] | Level 3 [Member] | Measurement Input, Default Rate [Member]      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Servicing Asset at Fair Value, Amount 0.08    
Recurring [Member] | Level 3 [Member] | Interest rate lock commitments [Member]      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Derivatives not designated as hedging instruments 0 0  
Recurring [Member] | Level 3 [Member] | Forward Sales Of MBS [Member]      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Derivatives not designated as hedging instruments $ 0 $ 0