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Allowance for Loan Losses - Internally Assigned Grade (Details) - USD ($) $ in Thousands	12 Months Ended
	Sep. 30, 2021	Sep. 30, 2020
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	$ 14,004,870	$ 12,959,272
Pass
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	$ 13,506,282	$ 12,303,135
Pass | Accounts Receivable | Credit Concentration Risk
Financing Receivable, Credit Quality Indicator [Line Items]
Total grade as a % of total loans	96.40%	94.90%
Special Mention
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	$ 111,554	$ 247,543
Special Mention | Accounts Receivable | Credit Concentration Risk
Financing Receivable, Credit Quality Indicator [Line Items]
Total grade as a % of total loans	0.80%	1.90%
Substandard
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	$ 387,034	$ 408,594
Substandard | Accounts Receivable | Credit Concentration Risk
Financing Receivable, Credit Quality Indicator [Line Items]
Total grade as a % of total loans	2.80%	3.20%
Doubtful [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	$ 0	$ 0
Doubtful [Member] | Accounts Receivable | Credit Concentration Risk
Financing Receivable, Credit Quality Indicator [Line Items]
Total grade as a % of total loans	0.00%	0.00%
Loss [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	$ 0	$ 0
Loss [Member] | 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	$ 8,316,591	$ 7,044,426
Commercial loans | Pass
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	7,840,800	6,412,415
Commercial loans | Special Mention
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	111,554	247,351
Commercial loans | Substandard
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	364,237	384,660
Commercial loans | Doubtful [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Commercial loans | Loss [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Commercial loans | Multi-family
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	2,273,689	1,538,240
Commercial loans | Multi-family | Pass
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	2,252,395	1,506,692
Commercial loans | Multi-family | Special Mention
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	4,874	13,721
Commercial loans | Multi-family | Substandard
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	16,420	17,827
Commercial loans | Multi-family | Doubtful [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Commercial loans | Multi-family | Loss [Member]
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	2,429,332	1,884,688
Commercial loans | Commercial real estate | Pass
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	2,174,386	1,681,230
Commercial loans | Commercial real estate | Special Mention
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	57,625	92,184
Commercial loans | Commercial real estate | Substandard
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	197,321	111,274
Commercial loans | Commercial real estate | Doubtful [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Commercial loans | Commercial real estate | Loss [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Commercial loans | Commercial & industrial
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	2,303,927	2,115,513
Commercial loans | Commercial & industrial | Pass
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	2,108,152	1,898,709
Commercial loans | Commercial & industrial | Special Mention
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	48,124	64,695
Commercial loans | Commercial & industrial | Substandard
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	147,651	152,109
Commercial loans | Commercial & industrial | Doubtful [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Commercial loans | Commercial & industrial | Loss [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Commercial loans | Construction
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	1,117,227	1,352,414
Commercial loans | Construction | Pass
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	1,115,791	1,187,786
Commercial loans | Construction | Special Mention
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	931	61,178
Commercial loans | Construction | Substandard
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	505	103,450
Commercial loans | Construction | Doubtful [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Commercial loans | Construction | Loss [Member]
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	192,416	153,571
Commercial loans | Land - acquisition & development | Pass
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	190,076	137,998
Commercial loans | Land - acquisition & development | Special Mention
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	15,573
Commercial loans | Land - acquisition & development | Substandard
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	2,340	0
Commercial loans | Land - acquisition & development | Doubtful [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Commercial loans | Land - acquisition & development | Loss [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Consumer loans
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	5,688,279	5,914,846
Consumer loans | Pass
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	5,665,482	5,890,720
Consumer loans | Special Mention
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	192
Consumer loans | Substandard
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	22,797	23,934
Consumer loans | Doubtful [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Consumer loans | Loss [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Consumer loans | Construction
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	347,752	295,953
Consumer loans | Construction | Pass
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	347,752	295,953
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	0	0
Consumer loans | Construction | Doubtful [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Consumer loans | Construction | Loss [Member]
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	4,937,064	5,293,962
Consumer loans | Single-family residential | Pass
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	4,915,106	5,270,666
Consumer loans | Single-family residential | Special Mention
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	192
Consumer loans | Single-family residential | Substandard
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	21,958	23,104
Consumer loans | Single-family residential | Doubtful [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Consumer loans | Single-family residential | Loss [Member]
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	148,534	101,394
Consumer loans | Land - consumer lot loans | Pass
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	148,010	101,151
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	524	243
Consumer loans | Land - consumer lot loans | Doubtful [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Consumer loans | Land - consumer lot loans | Loss [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Consumer loans | HELOC
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	166,940	140,222
Consumer loans | HELOC | Pass
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	166,652	139,646
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	288	576
Consumer loans | HELOC | Doubtful [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Consumer loans | HELOC | Loss [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Consumer loans | Consumer
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	87,989	83,315
Consumer loans | Consumer | Pass
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	87,962	83,304
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	27	11
Consumer loans | Consumer | Doubtful [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	0	0
Consumer loans | Consumer | Loss [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Total loans	$ 0	$ 0

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