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Allowance for Losses on Loans - Credit Risk Profile Based on Payment Activity (Details) - USD ($)
$ in Thousands
Mar. 31, 2025
Sep. 30, 2024
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 21,122,710 $ 21,120,107
Commercial loans    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount 12,238,959 12,205,420
Commercial loans | Multi-family    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount 4,867,340 4,556,200
Commercial loans | Commercial real estate    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount 3,639,477 3,732,155
Commercial loans | Commercial & industrial    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount 2,384,745 2,332,732
Commercial loans | Construction    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount 1,211,336 1,424,016
Commercial loans | Land - acquisition & development    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount 136,061 160,317
Consumer loans    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount 8,883,751 8,914,687
Consumer loans | Construction    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount 137,501 182,415
Consumer loans | Single-family residential    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount 8,264,318 8,280,300
Consumer loans | Land - consumer lot loans    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount 101,784 108,060
Consumer loans | HELOC    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount 288,228 269,857
Consumer loans | Consumer    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount 91,920 74,055
Performing Loans    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 21,062,824 $ 21,050,566
% of Total Loans 99.70% 99.70%
Performing Loans | Commercial loans    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 12,199,162 $ 12,159,121
% of Total Loans 99.70% 99.60%
Performing Loans | Commercial loans | Multi-family    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 4,856,863 $ 4,537,457
% of Total Loans 99.80% 99.60%
Performing Loans | Commercial loans | Commercial real estate    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 3,610,157 $ 3,705,793
% of Total Loans 99.20% 99.30%
Performing Loans | Commercial loans | Commercial & industrial    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 2,384,745 $ 2,332,732
% of Total Loans 100.00% 100.00%
Performing Loans | Commercial loans | Construction    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 1,211,336 $ 1,422,896
% of Total Loans 100.00% 99.90%
Performing Loans | Commercial loans | Land - acquisition & development    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 136,061 $ 160,243
% of Total Loans 100.00% 100.00%
Performing Loans | Consumer loans    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 8,863,662 $ 8,891,445
% of Total Loans 99.80% 99.70%
Performing Loans | Consumer loans | Construction    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 136,654 $ 181,567
% of Total Loans 99.40% 99.50%
Performing Loans | Consumer loans | Single-family residential    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 8,245,584 $ 8,258,812
% of Total Loans 99.80% 99.70%
Performing Loans | Consumer loans | Land - consumer lot loans    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 101,776 $ 108,060
% of Total Loans 100.00% 100.00%
Performing Loans | Consumer loans | HELOC    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 287,928 $ 269,261
% of Total Loans 99.90% 99.80%
Performing Loans | Consumer loans | Consumer    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 91,720 $ 73,745
% of Total Loans 99.80% 99.60%
Non-Performing Loans    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 59,886 $ 69,541
% of Total Loans 0.30% 0.30%
Non-Performing Loans | Commercial loans    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 39,797 $ 46,299
% of Total Loans 0.30% 0.40%
Non-Performing Loans | Commercial loans | Multi-family    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 10,477 $ 18,743
% of Total Loans 0.20% 0.40%
Non-Performing Loans | Commercial loans | Commercial real estate    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 29,320 $ 26,362
% of Total Loans 0.80% 0.70%
Non-Performing Loans | Commercial loans | Commercial & industrial    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 0 $ 0
% of Total Loans 0.00% 0.00%
Non-Performing Loans | Commercial loans | Construction    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 0 $ 1,120
% of Total Loans 0.00% 0.10%
Non-Performing Loans | Commercial loans | Land - acquisition & development    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 0 $ 74
% of Total Loans 0.00% 0.00%
Non-Performing Loans | Consumer loans    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 20,089 $ 23,242
% of Total Loans 0.20% 0.30%
Non-Performing Loans | Consumer loans | Construction    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 847 $ 848
% of Total Loans 0.60% 0.50%
Non-Performing Loans | Consumer loans | Single-family residential    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 18,734 $ 21,488
% of Total Loans 0.20% 0.30%
Non-Performing Loans | Consumer loans | Land - consumer lot loans    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 8 $ 0
% of Total Loans 0.00% 0.00%
Non-Performing Loans | Consumer loans | HELOC    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 300 $ 596
% of Total Loans 0.10% 0.20%
Non-Performing Loans | Consumer loans | Consumer    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 200 $ 310
% of Total Loans 0.20% 0.40%