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Investment Securities - Investments by Contractual Maturity Date (Details) - USD ($) $ in Thousands	Sep. 30, 2021	Sep. 30, 2020
Amortized Cost, Available-for-sale securities
Amortized cost	$ 2,090,070	$ 2,210,099
Gross Unrealized Gains / Losses, Available-for-sale securities
Gross unrealized gains	50,829	49,007
Gross unrealized loss	(2,640)	(9,614)
Fair Value, Available-for-sale securities
Available-for-sale securities, at fair value	$ 2,138,259	$ 2,249,492
Yield, Available-for-sale securities
Yield	1.69%	1.97%
Amortized Cost, Held-to-maturity securities
Held-to-maturity securities, amortized cost	$ 366,025	$ 705,838
Gross Unrealized Gains / Losses, Held-to-maturity securities
Gross unrealized gains	13,522	21,582
Gross unrealized losses	0	(52)
Fair Value, Held-to-maturity securities
Fair value	$ 379,547	$ 727,368
Yield, Held-to-maturity securities
Without single maturity date		3.14%
Yield	3.17%
Investments	$ 2,456,095	$ 2,915,937
Gross unrealized gains on investments	64,351	70,589
Gross unrealized losses on investments	(2,640)	(9,666)
Total Financial Assets	$ 2,517,806	$ 2,976,860
Yield on investments	1.89%	2.25%
U.S. government and agency securities
Amortized Cost, Available-for-sale securities
1 to 5 years	$ 47,339
5 to 10 years	14,064	$ 18,448
Gross Unrealized Gains / Losses, Available-for-sale securities
Gross unrealized gains, 1 to 5 years	240
Gross unrealized gains, 5 to 10 years	136	376
Gross unrealized losses, 1 to 5 years	0
Gross unrealized losses, 5 to 10 years	0	0
Fair Value, Available-for-sale securities
1 to 5 years	47,579
5 to 10 years	$ 14,200	$ 18,824
Yield, Available-for-sale securities
1 to 5 years	0.44%
5 to 10 years	2.05%	2.05%
Asset-backed securities
Amortized Cost, Available-for-sale securities
1 to 5 years	$ 19,730
5 to 10 years	71,207	$ 38,289
Over 10 years	973,892	906,489
Gross Unrealized Gains / Losses, Available-for-sale securities
Gross unrealized gains, 1 to 5 years	0
Gross unrealized gains, 5 to 10 years	412	0
Gross unrealized gains, over 10 years	14,069	647
Gross unrealized losses, 1 to 5 years	(434)
Gross unrealized losses, 5 to 10 years	(97)	(1,600)
Gross unrealized losses, over 10 years	(98)	(6,908)
Fair Value, Available-for-sale securities
1 to 5 years	19,296
5 to 10 years	71,522	36,689
Over 10 years	$ 987,863	$ 900,228
Yield, Available-for-sale securities
1 to 5 years	0.52%
5 to 10 years	0.57%	0.83%
Over 10 years	0.94%	1.14%
Corporate debt securities
Amortized Cost, Available-for-sale securities
Within 1 year	$ 225,928	$ 54,209
1 to 5 years	86,802	128,289
5 to 10 years	28,804	97,157
Gross Unrealized Gains / Losses, Available-for-sale securities
Gross unrealized gains, within 1 year	7,860	337
Gross unrealized gains, 1 to 5 years	1,345	3,366
Gross unrealized gains, 5 to 10 years	249	4,305
Gross unrealized losses, within 1 year	0	(51)
Gross unrealized losses, 1 to 5 years	0	(428)
Gross unrealized losses, 5 to 10 years	0	0
Fair Value, Available-for-sale securities
Within 1 year	233,788	54,495
1 to 5 years	88,147	131,227
5 to 10 years	$ 29,053	$ 101,462
Yield, Available-for-sale securities
Within 1 year	1.57%	1.22%
1 to 5 years	4.64%	1.78%
5 to 10 years	1.95%	1.50%
Municipal bonds
Amortized Cost, Available-for-sale securities
Within 1 year	$ 1,493
1 to 5 years	5,781	$ 1,461
Over 10 years	29,909	36,044
Gross Unrealized Gains / Losses, Available-for-sale securities
Gross unrealized gains, within 1 year	17
Gross unrealized gains, 1 to 5 years	294	36
Gross unrealized gains, over 10 years	2,490	774
Gross unrealized losses, within 1 year	0
Gross unrealized losses, 1 to 5 years	0	0
Gross unrealized losses, over 10 years	0	0
Fair Value, Available-for-sale securities
Within 1 year	1,510
1 to 5 years	6,075	1,497
Over 10 years	$ 32,399	$ 36,818
Yield, Available-for-sale securities
Within 1 year	0.00%
1 to 5 years	0.22%	0.00%
Over 10 years	5.85%	5.40%
Agency pass-through certificates
Amortized Cost, Available-for-sale securities
Without single maturity date	$ 585,121	$ 929,713
Gross Unrealized Gains / Losses, Available-for-sale securities
Gross unrealized gains, without single maturity date	23,717	39,166
Gross unrealized losses, without single maturity date	(2,011)	(627)
Fair Value, Available-for-sale securities
Without single maturity date	$ 606,827	$ 968,252
Yield, Available-for-sale securities
Without single maturity date	2.60%	2.82%
Amortized Cost, Held-to-maturity securities
Without single maturity date	$ 366,025	$ 698,934
Gross Unrealized Gains / Losses, Held-to-maturity securities
Gross unrealized gains, without single maturity date	13,522	21,582
Gross unrealized losses, without single maturity date	0	0
Fair Value, Held-to-maturity securities
Without single maturity date	$ 379,547	$ 720,516
Yield, Held-to-maturity securities
Without single maturity date	3.17%	3.16%
Commercial MBS
Amortized Cost, Held-to-maturity securities
Without single maturity date		$ 6,904
Gross Unrealized Gains / Losses, Held-to-maturity securities
Gross unrealized gains, without single maturity date		0
Gross unrealized losses, without single maturity date		(52)
Fair Value, Held-to-maturity securities
Without single maturity date		$ 6,852
Yield, Held-to-maturity securities
Without single maturity date		1.02%

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