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Fair Value Measurements - Fair Value by Balance Sheet Grouping (Details) - USD ($)
$ in Thousands
Jun. 30, 2019
Sep. 30, 2018
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities   $ 1,314,957
Held-to-maturity securities $ 1,511,679 1,548,770
FHLB and FRB stock 134,190 127,190
Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities 1,507,937 1,314,957
Held-to-maturity securities 1,508,175 1,625,420
Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities 1,507,937 1,314,957
Held-to-maturity securities 1,511,679 1,548,770
Level 1 | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Cash and cash equivalents 289,828 268,650
Level 1 | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Cash and cash equivalents 289,828 268,650
Level 2 | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
FHLB and FRB stock 134,190 127,190
Time deposit accounts 4,950,320 4,804,803
FHLB advances 2,505,000 2,330,000
Level 2 | Carrying Amount | Interest rate contracts    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other assets 13,912 12,731
Other liabilities - interest rate contracts 13,912 12,731
Level 2 | Carrying Amount | Commercial loan hedges    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other assets 0 3,857
Other liabilities - interest rate contracts 2,585 0
Level 2 | Carrying Amount | Borrowings cash flow hedges    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other assets 0 22,250
Other liabilities - interest rate contracts 4,442 0
Level 2 | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
FHLB and FRB stock 134,190 127,190
Time deposit accounts 4,959,058 4,779,040
FHLB advances 2,531,425 2,316,964
Level 2 | Estimated Fair Value | Interest rate contracts    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other assets 13,912 12,731
Other liabilities - interest rate contracts 13,912 12,731
Level 2 | Estimated Fair Value | Commercial loan hedges    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other assets 0 3,857
Other liabilities - interest rate contracts 2,585 0
Level 2 | Estimated Fair Value | Borrowings cash flow hedges    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other assets 0 22,250
Other liabilities - interest rate contracts 4,442 0
Level 3 | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Loans receivable 11,974,533 11,477,081
Level 3 | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Loans receivable 12,485,465 11,556,326
Equity securities | Level 1 | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities   488
Equity securities | Level 1 | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities   488
U.S. government and agency securities | Level 2 | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities 248,942 207,293
U.S. government and agency securities | Level 2 | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities 248,942 207,293
Municipal bonds | Level 2 | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities 22,885 22,978
Municipal bonds | Level 2 | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities 22,885 22,978
Corporate debt securities | Level 2 | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities 208,707 184,695
Corporate debt securities | Level 2 | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities 208,707 184,695
Agency pass-through certificates    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Held-to-maturity securities   1,533,742
Agency pass-through certificates | Level 2 | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities 1,027,403 896,041
Held-to-maturity securities 1,493,175 1,610,420
Agency pass-through certificates | Level 2 | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities 1,027,403 896,041
Held-to-maturity securities 1,496,671 1,533,742
Commercial MBS    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Held-to-maturity securities   15,028
Commercial MBS | Level 2 | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities 0 3,462
Held-to-maturity securities 15,000 15,000
Commercial MBS | Level 2 | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities 0 3,462
Held-to-maturity securities $ 15,008 $ 15,028