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Fair Value Measurements - Investments by Contractual Maturity Date (Details) - USD ($) $ in Thousands	Mar. 31, 2021	Sep. 30, 2020
Amortized Cost, Available-for-sale securities
Amortized Cost	$ 2,392,676	$ 2,210,099
Gross Unrealized Gains / Losses, Available-for-sale securities
Gross unrealized gains	51,149	49,007
Gross unrealized loss	(4,923)	(9,614)
Fair Value, Available-for-sale securities
Fair value	$ 2,438,902	$ 2,249,492
Yield, Available-for-sale securities
Yield	1.80%	1.97%
Amortized Cost, Held-to-maturity securities
Held-to-maturity securities, amortized cost	$ 494,089	$ 705,838
Gross Unrealized Gains / Losses, Held-to-maturity securities
Held-to-maturity securities, gross unrealized gains	13,808	21,582
Held-to-maturity securities, gross unrealized losses	0	(52)
Fair Value, Held-to-maturity securities
Held-to-maturity securities, fair value	$ 507,897	$ 727,368
Yield, Held-to-maturity securities
Held-to-maturity securities, yield	3.14%	3.14%
Investments	$ 2,886,765	$ 2,915,937
Gross unrealized gains on investments	64,957	70,589
Gross unrealized losses on investments	(4,923)	(9,666)
Total financial assets	$ 2,946,799	$ 2,976,860
Yield on investments	2.02%	2.25%
U.S. government and agency securities
Amortized Cost, Available-for-sale securities
Amortized cost, 1 to 5 years	$ 54,992
Amortized cost, 5 to 10 years	15,897	$ 18,448
Gross Unrealized Gains / Losses, Available-for-sale securities
Gross unrealized gains, 1 to 5 years	516
Gross unrealized gains, 5 to 10 years	107	376
Gross unrealized losses, 1 to 5 years	0
Gross unrealized losses, 5 to 10 years	0	0
Fair Value, Available-for-sale securities
Fair value, 1 to 5 years	55,508
Fair value, 5 to 10 years	$ 16,004	$ 18,824
Yield, Available-for-sale securities
Yield, 1 to 5 years	0.50%
Yield, 5 to 10 years	2.05%	2.05%
Asset-backed securities
Amortized Cost, Available-for-sale securities
Amortized cost, 5 to 10 years	$ 102,141	$ 38,289
Amortized cost, over 10 years	1,071,530	906,489
Gross Unrealized Gains / Losses, Available-for-sale securities
Gross unrealized gains, 5 to 10 years	447	0
Gross unrealized gains, over 10 years	10,994	647
Gross unrealized losses, 5 to 10 years	(718)	(1,600)
Gross unrealized losses, over 10 years	(417)	(6,908)
Fair Value, Available-for-sale securities
Fair value, 5 to 10 years	101,870	36,689
Fair value, over 10 years	$ 1,082,107	$ 900,228
Yield, Available-for-sale securities
Yield, 5 to 10 years	0.68%	0.83%
Yield, over 10 years	1.07%	1.14%
Corporate debt securities
Amortized Cost, Available-for-sale securities
Amortized cost, within 1 year	$ 31,742	$ 54,209
Amortized cost, 1 to 5 years	195,442	128,289
Amortized cost, 5 to 10 years	65,888	97,157
Amortized cost, over 10 years	80,560
Gross Unrealized Gains / Losses, Available-for-sale securities
Gross unrealized gains, within 1 year	126	337
Gross unrealized gains, 1 to 5 years	7,120	3,366
Gross unrealized gains, 5 to 10 years	751	4,305
Gross unrealized gains, over 10 years	0
Gross unrealized losses, Within 1 year	(28)	(51)
Gross unrealized losses, 1 to 5 years	0	(428)
Gross unrealized losses, 5 to 10 years	(710)	0
Gross unrealized losses, over 10 years	(776)
Fair Value, Available-for-sale securities
Fair value, within 1 year	31,840	54,495
Fair value, 1 to 5 years	202,562	131,227
Fair value, 5 to 10 years	65,929	$ 101,462
Fair value, over 10 years	$ 79,784
Yield, Available-for-sale securities
Yield, within 1 year	1.98%	1.22%
Yield, 1 to 5 years	1.67%	1.78%
Yield, 5 to 10 years	3.14%	1.50%
Yield, over 10 years	3.44%
Municipal bonds due
Amortized Cost, Available-for-sale securities
Amortized cost, 1 to 5 years	$ 1,477	$ 1,461
Amortized cost, 5 to 10 years	5,797
Amortized cost, over 10 years	29,929	36,044
Gross Unrealized Gains / Losses, Available-for-sale securities
Gross unrealized gains, 1 to 5 years	28	36
Gross unrealized gains, 5 to 10 years	275
Gross unrealized gains, over 10 years	1,163	774
Gross unrealized losses, 1 to 5 years	0	0
Gross unrealized losses, 5 to 10 years	0
Gross unrealized losses, over 10 years	0	0
Fair Value, Available-for-sale securities
Fair value, 1 to 5 years	1,505	1,497
Fair value, 5 to 10 years	6,072
Fair value, over 10 years	$ 31,092	$ 36,818
Yield, Available-for-sale securities
Yield, 1 to 5 years	0.00%	0.00%
Yield, 5 to 10 years	0.27%
Yield, over 10 years	5.85%	5.40%
Agency pass-through certificates
Amortized Cost, Available-for-sale securities
Amortized cost, without single maturity date	$ 737,281	$ 929,713
Gross Unrealized Gains / Losses, Available-for-sale securities
Gross unrealized gains, without single maturity date	29,622	39,166
Gross unrealized losses, without single maturity date	(2,274)	(627)
Fair Value, Available-for-sale securities
Fair value, without single maturity date	$ 764,629	$ 968,252
Yield, Available-for-sale securities
Yield, without single maturity date	2.67%	2.82%
Amortized Cost, Held-to-maturity securities
Held-to-maturity securities, amortized cost	$ 489,915	$ 698,934
Gross Unrealized Gains / Losses, Held-to-maturity securities
Held-to-maturity securities, gross unrealized gains	13,808	21,582
Held-to-maturity securities, gross unrealized losses	0	0
Fair Value, Held-to-maturity securities
Held-to-maturity securities, fair value	$ 503,723	$ 720,516
Yield, Held-to-maturity securities
Held-to-maturity securities, yield	3.16%	3.16%
Commercial MBS
Amortized Cost, Held-to-maturity securities
Held-to-maturity securities, amortized cost	$ 4,174	$ 6,904
Gross Unrealized Gains / Losses, Held-to-maturity securities
Held-to-maturity securities, gross unrealized gains	0	0
Held-to-maturity securities, gross unrealized losses	0	(52)
Fair Value, Held-to-maturity securities
Held-to-maturity securities, fair value	$ 4,174	$ 6,852
Yield, Held-to-maturity securities
Held-to-maturity securities, yield	0.98%	1.02%

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