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Allowance for Losses on Loans - Credit Risk Profile Based on Payment Activity (Details) - USD ($)
$ in Thousands
Mar. 31, 2024
Sep. 30, 2023
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 20,996,836 $ 17,653,757
Commercial loans    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount 11,717,725 10,507,610
Commercial loans | Multi-family    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount 4,089,719 2,886,594
Commercial loans | Commercial real estate    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount 3,544,884 3,310,101
Commercial loans | Commercial & industrial    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount 2,283,922 2,315,318
Commercial loans | Construction    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount 1,623,496 1,838,936
Commercial loans | Land - acquisition & development    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount 175,704 156,661
Consumer loans    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount 9,279,111 7,146,147
Consumer loans | Construction    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount 223,377 324,451
Consumer loans | Single-family residential    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount 8,619,916 6,388,990
Consumer loans | Land - consumer lot loans    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount 114,256 124,842
Consumer loans | HELOC    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount 247,305 237,754
Consumer loans | Consumer    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount 74,257 70,110
Performing Loans    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 20,936,030 $ 17,603,335
% of Total Loans 99.70% 99.70%
Performing Loans | Commercial loans    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 11,677,778 $ 10,472,966
% of Total Loans 99.70% 99.70%
Performing Loans | Commercial loans | Multi-family    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 4,081,342 $ 2,881,467
% of Total Loans 99.80% 99.80%
Performing Loans | Commercial loans | Commercial real estate    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 3,517,862 $ 3,286,666
% of Total Loans 99.20% 99.30%
Performing Loans | Commercial loans | Commercial & industrial    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 2,279,486 $ 2,309,236
% of Total Loans 99.80% 99.70%
Performing Loans | Commercial loans | Construction    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 1,623,496 $ 1,838,936
% of Total Loans 100.00% 100.00%
Performing Loans | Commercial loans | Land - acquisition & development    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 175,592 $ 156,661
% of Total Loans 99.90% 100.00%
Performing Loans | Consumer loans    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 9,258,252 $ 7,130,369
% of Total Loans 99.80% 99.80%
Performing Loans | Consumer loans | Construction    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 223,289 $ 324,363
% of Total Loans 100.00% 100.00%
Performing Loans | Consumer loans | Single-family residential    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 8,599,900 $ 6,374,072
% of Total Loans 99.80% 99.80%
Performing Loans | Consumer loans | Land - consumer lot loans    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 114,256 $ 124,833
% of Total Loans 100.00% 100.00%
Performing Loans | Consumer loans | HELOC    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 246,814 $ 237,018
% of Total Loans 99.80% 99.70%
Performing Loans | Consumer loans | Consumer    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 73,993 $ 70,083
% of Total Loans 99.60% 100.00%
Non-Performing Loans    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 60,806 $ 50,422
% of Total Loans 0.30% 0.30%
Non-Performing Loans | Commercial loans    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 39,947 $ 34,644
% of Total Loans 0.30% 0.30%
Non-Performing Loans | Commercial loans | Multi-family    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 8,377 $ 5,127
% of Total Loans 0.20% 0.20%
Non-Performing Loans | Commercial loans | Commercial real estate    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 27,022 $ 23,435
% of Total Loans 0.80% 0.70%
Non-Performing Loans | Commercial loans | Commercial & industrial    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 4,436 $ 6,082
% of Total Loans 0.20% 0.30%
Non-Performing Loans | Commercial loans | Construction    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 0 $ 0
% of Total Loans 0.00% 0.00%
Non-Performing Loans | Commercial loans | Land - acquisition & development    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 112 $ 0
% of Total Loans 0.10% 0.00%
Non-Performing Loans | Consumer loans    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 20,859 $ 15,778
% of Total Loans 0.20% 0.20%
Non-Performing Loans | Consumer loans | Construction    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 88 $ 88
% of Total Loans 0.00% 0.00%
Non-Performing Loans | Consumer loans | Single-family residential    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 20,016 $ 14,918
% of Total Loans 0.20% 0.20%
Non-Performing Loans | Consumer loans | Land - consumer lot loans    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 0 $ 9
% of Total Loans 0.00% 0.00%
Non-Performing Loans | Consumer loans | HELOC    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 491 $ 736
% of Total Loans 0.20% 0.30%
Non-Performing Loans | Consumer loans | Consumer    
Financing Receivable, Credit Quality Indicator [Line Items]    
Amount $ 264 $ 27
% of Total Loans 0.40% 0.00%