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Fair Value Measurements - Additional Information (Details) - USD ($)
6 Months Ended
Mar. 31, 2020
Mar. 31, 2019
Jan. 01, 2020
Sep. 30, 2019
New Accounting Pronouncements or Change in Accounting Principle [Line Items]        
Debt Securities, Held-to-maturity $ 920,255,000     $ 1,443,480,000
Available-for-sale, at amortized cost 1,667,467,000     $ 1,458,071,000
Available-for-sale securities purchased 159,884,000 $ 290,574,000    
Proceeds from sales of available-for-sale securities 204,351,000 491,000    
Held-to-maturity securities purchased 0 0    
Proceeds from sale of held-to-maturity securities $ 0 $ 0    
Term of contractual due dates of substantially all mortgage-backed securities (in years) 10 years      
Accounting Standards Update 2019-04 | Mortgage-backed securities        
New Accounting Pronouncements or Change in Accounting Principle [Line Items]        
Debt Securities, Held-to-maturity     $ (374,680,000)  
Available-for-sale, at amortized cost     $ 374,680,000