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Allowance for Loan Losses - Internally Assigned Grade (Details) - USD ($) $ in Thousands	12 Months Ended
	Sep. 30, 2022	Sep. 30, 2021
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	$ 16,286,372	$ 14,004,870
Pass
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	$ 16,045,127	$ 13,506,282
Pass | Accounts Receivable | Credit Concentration Risk
Financing Receivable, Credit Quality Indicator [Line Items]
Total grade as a % of total loans	98.50%	96.40%
Special Mention
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	$ 33,250	$ 111,554
Special Mention | Accounts Receivable | Credit Concentration Risk
Financing Receivable, Credit Quality Indicator [Line Items]
Total grade as a % of total loans	0.20%	0.80%
Substandard
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	$ 207,995	$ 387,034
Substandard | Accounts Receivable | Credit Concentration Risk
Financing Receivable, Credit Quality Indicator [Line Items]
Total grade as a % of total loans	1.30%	2.80%
Doubtful
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	$ 0	$ 0
Doubtful | Accounts Receivable | Credit Concentration Risk
Financing Receivable, Credit Quality Indicator [Line Items]
Total grade as a % of total loans	0.00%	0.00%
Loss
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	$ 0	$ 0
Loss | Accounts Receivable | Credit Concentration Risk
Financing Receivable, Credit Quality Indicator [Line Items]
Total grade as a % of total loans	0.00%	0.00%
Commercial loans
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	$ 9,728,501	$ 8,316,591
Commercial loans | Pass
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	9,508,927	7,840,800
Commercial loans | Special Mention
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	33,250	111,554
Commercial loans | Substandard
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	186,324	364,237
Commercial loans | Doubtful
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Commercial loans | Loss
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Commercial loans | Multi-family
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	2,626,479	2,273,689
Commercial loans | Multi-family | Pass
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	2,612,669	2,252,395
Commercial loans | Multi-family | Special Mention
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	4,874
Commercial loans | Multi-family | Substandard
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	13,810	16,420
Commercial loans | Multi-family | Doubtful
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Commercial loans | Multi-family | Loss
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Commercial loans | Commercial real estate
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	3,111,112	2,429,332
Commercial loans | Commercial real estate | Pass
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	3,054,241	2,174,386
Commercial loans | Commercial real estate | Special Mention
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	1,594	57,625
Commercial loans | Commercial real estate | Substandard
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	55,277	197,321
Commercial loans | Commercial real estate | Doubtful
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Commercial loans | Commercial real estate | Loss
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Commercial loans | Commercial & industrial
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	2,343,403	2,303,927
Commercial loans | Commercial & industrial | Pass
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	2,196,767	2,108,152
Commercial loans | Commercial & industrial | Special Mention
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	31,656	48,124
Commercial loans | Commercial & industrial | Substandard
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	114,980	147,651
Commercial loans | Commercial & industrial | Doubtful
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Commercial loans | Commercial & industrial | Loss
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Commercial loans | Construction
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	1,423,891	1,117,227
Commercial loans | Construction | Pass
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	1,421,634	1,115,791
Commercial loans | Construction | Special Mention
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	931
Commercial loans | Construction | Substandard
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	2,257	505
Commercial loans | Construction | Doubtful
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Commercial loans | Construction | Loss
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Commercial loans | Land - acquisition & development
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	223,616	192,416
Commercial loans | Land - acquisition & development | Pass
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	223,616	190,076
Commercial loans | Land - acquisition & development | Special Mention
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Commercial loans | Land - acquisition & development | Substandard
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	2,340
Commercial loans | Land - acquisition & development | Doubtful
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Commercial loans | Land - acquisition & development | Loss
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Consumer loans
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	6,557,871	5,688,279
Consumer loans | Pass
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	6,536,200	5,665,482
Consumer loans | Special Mention
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Consumer loans | Substandard
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	21,671	22,797
Consumer loans | Doubtful
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Consumer loans | Loss
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Consumer loans | Construction
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	397,343	347,752
Consumer loans | Construction | Pass
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	396,908	347,752
Consumer loans | Construction | Special Mention
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Consumer loans | Construction | Substandard
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	435	0
Consumer loans | Construction | Doubtful
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Consumer loans | Construction | Loss
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Consumer loans | Single-family residential
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	5,726,979	4,937,064
Consumer loans | Single-family residential | Pass
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	5,706,199	4,915,106
Consumer loans | Single-family residential | Special Mention
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Consumer loans | Single-family residential | Substandard
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	20,780	21,958
Consumer loans | Single-family residential | Doubtful
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Consumer loans | Single-family residential | Loss
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Consumer loans | Land - consumer lot loans
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	151,945	148,534
Consumer loans | Land - consumer lot loans | Pass
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	151,723	148,010
Consumer loans | Land - consumer lot loans | Special Mention
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Consumer loans | Land - consumer lot loans | Substandard
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	222	524
Consumer loans | Land - consumer lot loans | Doubtful
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Consumer loans | Land - consumer lot loans | Loss
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Consumer loans | HELOC
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	206,033	166,940
Consumer loans | HELOC | Pass
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	205,800	166,652
Consumer loans | HELOC | Special Mention
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Consumer loans | HELOC | Substandard
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	233	288
Consumer loans | HELOC | Doubtful
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Consumer loans | HELOC | Loss
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Consumer loans | Consumer
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	75,571	87,989
Consumer loans | Consumer | Pass
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	75,570	87,962
Consumer loans | Consumer | Special Mention
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Consumer loans | Consumer | Substandard
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	1	27
Consumer loans | Consumer | Doubtful
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Consumer loans | Consumer | Loss
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	$ 0	$ 0

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