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Fair Value Measurements - Fair Value by Balance Sheet Grouping (Details) - USD ($)
$ in Thousands
Mar. 31, 2017
Sep. 30, 2016
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities $ 1,388,782 $ 1,922,894
FHLB and FRB stock 119,990 117,205
Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities 1,388,782 1,922,894
Held-to-maturity securities 1,697,650 1,417,599
Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities 1,388,782 1,922,894
Held-to-maturity securities 1,668,548 1,441,556
Level 1 | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Cash and cash equivalents 266,397 450,368
Level 1 | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Cash and cash equivalents 266,397 450,368
Level 1 | Equity securities | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities 522 101,824
Level 1 | Equity securities | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities 522 101,824
Level 2 | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
FHLB and FRB stock 119,990 117,205
Customer accounts 10,630,807 10,600,852
FHLB advances 2,150,000 2,080,000
Level 2 | Carrying Amount | Interest rate contracts    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other assets - interest rate contracts 4,060 20,895
Other liabilities 4,060 20,895
Level 2 | Carrying Amount | Commercial loan hedges    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other assets - interest rate contracts 175 0
Other liabilities 0 3,312
Level 2 | Carrying Amount | Borrowings hedges    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other assets - interest rate contracts 319 0
Other liabilities 0 31,347
Level 2 | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
FHLB and FRB stock 119,990 117,205
Customer accounts 10,104,720 10,184,321
FHLB advances 2,212,968 2,184,671
Level 2 | Estimated Fair Value | Interest rate contracts    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other assets - interest rate contracts 4,060 20,895
Other liabilities 4,060 20,895
Level 2 | Estimated Fair Value | Commercial loan hedges    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other assets - interest rate contracts 175 0
Other liabilities 0 3,312
Level 2 | Estimated Fair Value | Borrowings hedges    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other assets - interest rate contracts 319 0
Other liabilities 0 31,347
Level 2 | Agency pass-through certificates | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Held-to-maturity securities 1,697,650 1,417,599
Level 2 | Agency pass-through certificates | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Held-to-maturity securities 1,668,548 1,441,556
Level 2 | U.S. government and agency securities | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities 235,618 259,351
Level 2 | U.S. government and agency securities | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities 235,618 259,351
Level 2 | Municipal bonds | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities 26,654 27,670
Level 2 | Municipal bonds | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities 26,654 27,670
Level 2 | Corporate debt securities | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities 209,981 461,138
Level 2 | Corporate debt securities | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities 209,981 461,138
Level 2 | Agency pass-through certificates | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities 863,032 993,041
Level 2 | Agency pass-through certificates | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities 863,032 993,041
Level 2 | Commercial MBS | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities 52,975 79,870
Level 2 | Commercial MBS | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities 52,975 79,870
Level 3 | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Loans receivable 10,463,022 9,910,920
FDIC indemnification asset 11,821 12,769
Level 3 | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Loans receivable 10,732,868 10,414,794
FDIC indemnification asset $ 11,342 $ 12,095