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Fair Value Measurements - Investments by Contractual Maturity Date (Details) - USD ($)
$ in Thousands
Jun. 30, 2019
Sep. 30, 2018
Amortized Cost, Available-for-sale securities    
Amortized Cost $ 1,487,783  
Amortized Cost   $ 1,326,471
Gross Unrealized Gains / Losses, Available-for-sale securities    
Gross unrealized gains 24,191  
Gross unrealized gains   4,685
Gross unrealized loss (4,037)  
Gross unrealized loss   (16,199)
Fair Value, Available-for-sale securities    
Available-for-sale securities, at fair value $ 1,507,937  
Available-for-sale securities, at fair value   $ 1,314,957
Yield, Available-for-sale securities    
Yield 3.33%  
Yield   3.30%
Amortized Cost, Held-to-maturity securities    
Held-to-maturity securities, at amortized cost $ 1,508,175 $ 1,625,420
Gross Unrealized Gains / Losses, Held-to-maturity securities    
Held-to-maturity securities, Gross unrealized gains 10,805 333
Held-to-maturity securities, Gross unrealized losses (7,301) (76,983)
Fair Value, Held-to-maturity securities    
Held-to-maturity securities, Fair Value $ 1,511,679 $ 1,548,770
Yield, Held-to-maturity securities    
Held-to-maturity securities, Yield 3.16% 3.16%
Investments $ 2,995,958 $ 2,951,891
Gross unrealized gains on investments 34,996 5,018
Gross unrealized losses on investments (11,338) (93,182)
Total financial assets $ 3,019,616 $ 2,863,727
Yield on investments 3.29% 3.22%
U.S. government and agency securities    
Amortized Cost, Available-for-sale securities    
5 to 10 years $ 68,503 $ 60,872
Over 10 years 182,384 148,099
Gross Unrealized Gains / Losses, Available-for-sale securities    
Gross unrealized gains, 5 to 10 years 3 0
Gross unrealized gains, Over 10 years 20 109
Gross unrealized losses, 5 to 10 years (881) (1,473)
Gross unrealized losses, Over 10 years (1,087) (314)
Fair Value, Available-for-sale securities    
5 to 10 years 67,625 59,399
Over 10 years $ 181,317 $ 147,894
Yield, Available-for-sale securities    
5 to 10 years 2.69% 2.55%
Over 10 years 3.40% 3.05%
Equity securities    
Amortized Cost, Available-for-sale securities    
1 to 5 years   $ 500
Gross Unrealized Gains / Losses, Available-for-sale securities    
Gross unrealized gains, 1 to 5 years   0
Gross unrealized losses, 1 to 5 years   (12)
Fair Value, Available-for-sale securities    
1 to 5 years   $ 488
Yield, Available-for-sale securities    
1 to 5 years   1.80%
Corporate debt securities    
Amortized Cost, Available-for-sale securities    
Within 1 year $ 33,867  
1 to 5 years 80,000 $ 113,762
5 to 10 years 92,853 69,965
Gross Unrealized Gains / Losses, Available-for-sale securities    
Gross unrealized gains, Within 1 year 413  
Gross unrealized gains, 1 to 5 years 599 1,875
Gross unrealized gains, 5 to 10 years 1,124 35
Gross unrealized losses, Within 1 year 0  
Gross unrealized losses, 1 to 5 years (149) (13)
Gross unrealized losses, 5 to 10 years 0 (929)
Fair Value, Available-for-sale securities    
Within 1 year 34,280  
1 to 5 years 80,450 115,624
5 to 10 years $ 93,977 $ 69,071
Yield, Available-for-sale securities    
Within 1 year 3.95%  
1 to 5 years 3.70% 3.59%
5 to 10 years 3.59% 3.23%
Municipal bonds due    
Amortized Cost, Available-for-sale securities    
1 to 5 years $ 1,422 $ 1,398
Over 10 years 20,308 20,323
Gross Unrealized Gains / Losses, Available-for-sale securities    
Gross unrealized gains, 1 to 5 years 12 0
Gross unrealized gains, Over 10 years 1,143 1,281
Gross unrealized losses, 1 to 5 years 0 (24)
Gross unrealized losses, Over 10 years 0 0
Fair Value, Available-for-sale securities    
1 to 5 years 1,434 1,374
Over 10 years $ 21,451 $ 21,604
Yield, Available-for-sale securities    
1 to 5 years 1.93% 2.05%
Over 10 years 6.45% 6.45%
Agency pass-through certificates    
Amortized Cost, Available-for-sale securities    
Without single maturity date $ 1,008,446 $ 908,092
Gross Unrealized Gains / Losses, Available-for-sale securities    
Gross unrealized gains, Without single maturity date 20,877 1,383
Gross unrealized losses, Without single maturity date (1,920) (13,434)
Fair Value, Available-for-sale securities    
Without single maturity date $ 1,027,403 $ 896,041
Yield, Available-for-sale securities    
Without single maturity date 3.36% 3.29%
Amortized Cost, Held-to-maturity securities    
Held-to-maturity securities, Without single maturity date $ 1,493,175  
Held-to-maturity securities, at amortized cost   $ 1,610,420
Gross Unrealized Gains / Losses, Held-to-maturity securities    
Held-to-maturity securities, Gross unrealized gains, Without single maturity date 10,797  
Held-to-maturity securities, Gross unrealized gains   305
Held-to-maturity securities, Gross unrealized losses, Without single maturity date (7,301)  
Held-to-maturity securities, Gross unrealized losses   (76,983)
Fair Value, Held-to-maturity securities    
Held-to-maturity securities, Fair Value, Without single maturity date $ 1,496,671  
Held-to-maturity securities, Fair Value   $ 1,533,742
Yield, Held-to-maturity securities    
Held-to-maturity securities, Yield, Without single maturity date 3.16%  
Held-to-maturity securities, Yield   3.16%
Commercial MBS    
Amortized Cost, Available-for-sale securities    
Without single maturity date   $ 3,460
Gross Unrealized Gains / Losses, Available-for-sale securities    
Gross unrealized gains, Without single maturity date   2
Gross unrealized losses, Without single maturity date   0
Fair Value, Available-for-sale securities    
Without single maturity date   $ 3,462
Yield, Available-for-sale securities    
Without single maturity date   4.36%
Amortized Cost, Held-to-maturity securities    
Held-to-maturity securities, Without single maturity date $ 15,000  
Held-to-maturity securities, at amortized cost   $ 15,000
Gross Unrealized Gains / Losses, Held-to-maturity securities    
Held-to-maturity securities, Gross unrealized gains, Without single maturity date 8  
Held-to-maturity securities, Gross unrealized gains   28
Held-to-maturity securities, Gross unrealized losses, Without single maturity date 0  
Held-to-maturity securities, Gross unrealized losses   0
Fair Value, Held-to-maturity securities    
Held-to-maturity securities, Fair Value, Without single maturity date $ 15,008  
Held-to-maturity securities, Fair Value   $ 15,028
Yield, Held-to-maturity securities    
Held-to-maturity securities, Yield, Without single maturity date 3.26%  
Held-to-maturity securities, Yield   3.03%