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Allowance for Losses on Loans - Credit Risk Profile Based on Payment Activity (Details) - USD ($) $ in Thousands	Mar. 31, 2021	Sep. 30, 2020
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 13,208,075	$ 12,959,272
Commercial loans
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	7,726,098	7,044,426
Commercial loans | Multi-family
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	1,987,120	1,538,240
Commercial loans | Commercial real estate
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	2,211,065	1,884,688
Commercial loans | Commercial & industrial
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	2,452,585	2,115,513
Commercial loans | Construction
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	925,017	1,352,414
Commercial loans | Land - acquisition & development
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	150,311	153,571
Consumer loans
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	5,481,977	5,914,846
Consumer loans | Construction
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	308,831	295,953
Consumer loans | Single-family residential
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	4,802,575	5,293,962
Consumer loans | Land - consumer lot loans
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	122,211	101,394
Consumer loans | HELOC
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	145,066	140,222
Consumer loans | Consumer
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	103,294	83,315
Performing Loans
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 13,168,120	$ 12,930,216
% of Total Loans	99.70%	99.80%
Performing Loans | Commercial loans
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 7,712,277	$ 7,038,657
% of Total Loans	99.80%	99.90%
Performing Loans | Commercial loans | Multi-family
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 1,987,120	$ 1,538,240
% of Total Loans	100.00%	100.00%
Performing Loans | Commercial loans | Commercial real estate
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 2,201,839	$ 1,880,917
% of Total Loans	99.60%	99.80%
Performing Loans | Commercial loans | Commercial & industrial
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 2,451,753	$ 2,115,184
% of Total Loans	100.00%	100.00%
Performing Loans | Commercial loans | Construction
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 923,594	$ 1,350,745
% of Total Loans	99.80%	99.90%
Performing Loans | Commercial loans | Land - acquisition & development
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 147,971	$ 153,571
% of Total Loans	98.40%	100.00%
Performing Loans | Consumer loans
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 5,455,843	$ 5,891,559
% of Total Loans	99.50%	99.60%
Performing Loans | Consumer loans | Construction
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 308,831	$ 295,953
% of Total Loans	100.00%	100.00%
Performing Loans | Consumer loans | Single-family residential
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 4,776,976	$ 5,271,531
% of Total Loans	99.50%	99.60%
Performing Loans | Consumer loans | Land - consumer lot loans
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 122,034	$ 101,151
% of Total Loans	99.90%	99.80%
Performing Loans | Consumer loans | HELOC
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 144,760	$ 139,669
% of Total Loans	99.80%	99.60%
Performing Loans | Consumer loans | Consumer
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 103,242	$ 83,255
% of Total Loans	99.90%	99.90%
Non-Performing Loans
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 39,955	$ 29,056
% of Total Loans	0.30%	0.20%
Non-Performing Loans | Commercial loans
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 13,821	$ 5,769
% of Total Loans	0.20%	0.10%
Non-Performing Loans | Commercial loans | Multi-family
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 0	$ 0
% of Total Loans	0.00%	0.00%
Non-Performing Loans | Commercial loans | Commercial real estate
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 9,226	$ 3,771
% of Total Loans	0.40%	0.20%
Non-Performing Loans | Commercial loans | Commercial & industrial
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 832	$ 329
% of Total Loans	0.00%	0.00%
Non-Performing Loans | Commercial loans | Construction
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 1,423	$ 1,669
% of Total Loans	0.20%	0.10%
Non-Performing Loans | Commercial loans | Land - acquisition & development
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 2,340	$ 0
% of Total Loans	1.60%	0.00%
Non-Performing Loans | Consumer loans
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 26,134	$ 23,287
% of Total Loans	0.50%	0.40%
Non-Performing Loans | Consumer loans | Construction
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 0	$ 0
% of Total Loans	0.00%	0.00%
Non-Performing Loans | Consumer loans | Single-family residential
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 25,599	$ 22,431
% of Total Loans	0.50%	0.40%
Non-Performing Loans | Consumer loans | Land - consumer lot loans
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 177	$ 243
% of Total Loans	0.10%	0.20%
Non-Performing Loans | Consumer loans | HELOC
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 306	$ 553
% of Total Loans	0.20%	0.40%
Non-Performing Loans | Consumer loans | Consumer
Financing Receivable, Credit Quality Indicator [Line Items]
Amount	$ 52	$ 60
% of Total Loans	0.10%	0.10%

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