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Allowance for Losses on Loans - Credit Risk Profile Based on Payment Activity (Details) - USD ($) $ in Thousands	Dec. 31, 2021	Sep. 30, 2021
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 14,763,613	$ 14,004,870
Commercial loans
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	8,748,073	8,316,591
Commercial loans | Multi-family
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	2,278,216	2,273,689
Commercial loans | Commercial real estate
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	2,667,170	2,429,332
Commercial loans | Commercial & industrial
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	2,365,487	2,303,927
Commercial loans | Construction
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	1,235,119	1,117,227
Commercial loans | Land - acquisition & development
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	202,081	192,416
Consumer loans
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	6,015,540	5,688,279
Consumer loans | Construction
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	333,583	347,752
Consumer loans | Single-family residential
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	5,286,559	4,937,064
Consumer loans | Land - consumer lot loans
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	149,845	148,534
Consumer loans | HELOC
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	167,789	166,940
Consumer loans | Consumer
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	77,764	87,989
Performing Loans
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 14,718,654	$ 13,973,121
% of Total Loans	99.70%	99.80%
Performing Loans | Commercial loans
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 8,722,208	$ 8,304,868
% of Total Loans	99.70%	99.90%
Performing Loans | Commercial loans | Multi-family
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 2,278,216	$ 2,273,214
% of Total Loans	100.00%	100.00%
Performing Loans | Commercial loans | Commercial real estate
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 2,659,605	$ 2,421,294
% of Total Loans	99.70%	99.70%
Performing Loans | Commercial loans | Commercial & industrial
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 2,350,138	$ 2,303,562
% of Total Loans	99.40%	100.00%
Performing Loans | Commercial loans | Construction
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 1,234,508	$ 1,116,722
% of Total Loans	100.00%	100.00%
Performing Loans | Commercial loans | Land - acquisition & development
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 199,741	$ 190,076
% of Total Loans	98.80%	98.80%
Performing Loans | Consumer loans
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 5,996,446	$ 5,668,253
% of Total Loans	99.70%	99.60%
Performing Loans | Consumer loans | Construction
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 333,118	$ 347,752
% of Total Loans	99.90%	100.00%
Performing Loans | Consumer loans | Single-family residential
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 5,268,808	$ 4,917,744
% of Total Loans	99.70%	99.60%
Performing Loans | Consumer loans | Land - consumer lot loans
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 149,301	$ 148,175
% of Total Loans	99.60%	99.80%
Performing Loans | Consumer loans | HELOC
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 167,513	$ 166,653
% of Total Loans	99.80%	99.80%
Performing Loans | Consumer loans | Consumer
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 77,706	$ 87,929
% of Total Loans	99.90%	99.90%
Non-Performing Loans
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 44,959	$ 31,749
% of Total Loans	0.30%	0.20%
Non-Performing Loans | Commercial loans
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 25,865	$ 11,723
% of Total Loans	0.30%	0.10%
Non-Performing Loans | Commercial loans | Multi-family
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 0	$ 475
% of Total Loans	0.00%	0.00%
Non-Performing Loans | Commercial loans | Commercial real estate
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 7,565	$ 8,038
% of Total Loans	0.30%	0.30%
Non-Performing Loans | Commercial loans | Commercial & industrial
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 15,349	$ 365
% of Total Loans	0.60%	0.00%
Non-Performing Loans | Commercial loans | Construction
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 611	$ 505
% of Total Loans	0.00%	0.00%
Non-Performing Loans | Commercial loans | Land - acquisition & development
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 2,340	$ 2,340
% of Total Loans	1.20%	1.20%
Non-Performing Loans | Consumer loans
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 19,094	$ 20,026
% of Total Loans	0.30%	0.40%
Non-Performing Loans | Consumer loans | Construction
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 465	$ 0
% of Total Loans	0.10%	0.00%
Non-Performing Loans | Consumer loans | Single-family residential
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 17,751	$ 19,320
% of Total Loans	0.30%	0.40%
Non-Performing Loans | Consumer loans | Land - consumer lot loans
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 544	$ 359
% of Total Loans	0.40%	0.20%
Non-Performing Loans | Consumer loans | HELOC
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 276	$ 287
% of Total Loans	0.20%	0.20%
Non-Performing Loans | Consumer loans | Consumer
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 58	$ 60
% of Total Loans	0.10%	0.10%

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