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Allowance for Losses on Loans - Credit Risk Profile Based on Payment Activity (Details) - USD ($)
$ in Thousands
Jun. 30, 2023
Sep. 30, 2022
Financing Receivable, Credit Quality Indicator [Line Items]    
Gross loans $ 17,562,257 $ 16,286,372
Commercial loans    
Financing Receivable, Credit Quality Indicator [Line Items]    
Gross loans 10,488,716 9,728,501
Commercial loans | Multi-family    
Financing Receivable, Credit Quality Indicator [Line Items]    
Gross loans 2,858,433 2,626,479
Commercial loans | Commercial real estate    
Financing Receivable, Credit Quality Indicator [Line Items]    
Gross loans 3,218,451 3,111,112
Commercial loans | Commercial & industrial    
Financing Receivable, Credit Quality Indicator [Line Items]    
Gross loans 2,490,740 2,343,403
Commercial loans | Construction    
Financing Receivable, Credit Quality Indicator [Line Items]    
Gross loans 1,759,434 1,423,891
Commercial loans | Land - acquisition & development    
Financing Receivable, Credit Quality Indicator [Line Items]    
Gross loans 161,658 223,616
Consumer loans    
Financing Receivable, Credit Quality Indicator [Line Items]    
Gross loans 7,073,541 6,557,871
Consumer loans | Construction    
Financing Receivable, Credit Quality Indicator [Line Items]    
Gross loans 376,045 397,343
Consumer loans | Single-family residential    
Financing Receivable, Credit Quality Indicator [Line Items]    
Gross loans 6,258,592 5,726,979
Consumer loans | Land - consumer lot loans    
Financing Receivable, Credit Quality Indicator [Line Items]    
Gross loans 133,994 151,945
Consumer loans | HELOC    
Financing Receivable, Credit Quality Indicator [Line Items]    
Gross loans 228,132 206,033
Consumer loans | Consumer    
Financing Receivable, Credit Quality Indicator [Line Items]    
Gross loans 76,778 75,571
Performing Loans    
Financing Receivable, Credit Quality Indicator [Line Items]    
Gross loans $ 17,506,981 $ 16,251,838
% of Total Loans 99.70% 99.80%
Performing Loans | Commercial loans    
Financing Receivable, Credit Quality Indicator [Line Items]    
Gross loans $ 10,449,992 $ 9,712,205
% of Total Loans 99.60% 99.90%
Performing Loans | Commercial loans | Multi-family    
Financing Receivable, Credit Quality Indicator [Line Items]    
Gross loans $ 2,852,482 $ 2,620,567
% of Total Loans 99.80% 99.80%
Performing Loans | Commercial loans | Commercial real estate    
Financing Receivable, Credit Quality Indicator [Line Items]    
Gross loans $ 3,217,364 $ 3,106,421
% of Total Loans 100.00% 99.80%
Performing Loans | Commercial loans | Commercial & industrial    
Financing Receivable, Credit Quality Indicator [Line Items]    
Gross loans $ 2,459,054 $ 2,337,710
% of Total Loans 98.70% 99.80%
Performing Loans | Commercial loans | Construction    
Financing Receivable, Credit Quality Indicator [Line Items]    
Gross loans $ 1,759,434 $ 1,423,891
% of Total Loans 100.00% 100.00%
Performing Loans | Commercial loans | Land - acquisition & development    
Financing Receivable, Credit Quality Indicator [Line Items]    
Gross loans $ 161,658 $ 223,616
% of Total Loans 100.00% 100.00%
Performing Loans | Consumer loans    
Financing Receivable, Credit Quality Indicator [Line Items]    
Gross loans $ 7,056,989 $ 6,539,633
% of Total Loans 99.80% 99.70%
Performing Loans | Consumer loans | Construction    
Financing Receivable, Credit Quality Indicator [Line Items]    
Gross loans $ 375,958 $ 396,908
% of Total Loans 100.00% 99.90%
Performing Loans | Consumer loans | Single-family residential    
Financing Receivable, Credit Quality Indicator [Line Items]    
Gross loans $ 6,243,082 $ 5,709,529
% of Total Loans 99.80% 99.70%
Performing Loans | Consumer loans | Land - consumer lot loans    
Financing Receivable, Credit Quality Indicator [Line Items]    
Gross loans $ 133,872 $ 151,861
% of Total Loans 99.90% 99.90%
Performing Loans | Consumer loans | HELOC    
Financing Receivable, Credit Quality Indicator [Line Items]    
Gross loans $ 227,331 $ 205,800
% of Total Loans 99.60% 99.90%
Performing Loans | Consumer loans | Consumer    
Financing Receivable, Credit Quality Indicator [Line Items]    
Gross loans $ 76,746 $ 75,535
% of Total Loans 100.00% 100.00%
Non-Performing Loans    
Financing Receivable, Credit Quality Indicator [Line Items]    
Gross loans $ 55,276 $ 34,534
% of Total Loans 0.30% 0.20%
Non-Performing Loans | Commercial loans    
Financing Receivable, Credit Quality Indicator [Line Items]    
Gross loans $ 38,724 $ 16,296
% of Total Loans 0.40% 0.10%
Non-Performing Loans | Commercial loans | Multi-family    
Financing Receivable, Credit Quality Indicator [Line Items]    
Gross loans $ 5,951 $ 5,912
% of Total Loans 0.20% 0.20%
Non-Performing Loans | Commercial loans | Commercial real estate    
Financing Receivable, Credit Quality Indicator [Line Items]    
Gross loans $ 1,087 $ 4,691
% of Total Loans 0.00% 0.20%
Non-Performing Loans | Commercial loans | Commercial & industrial    
Financing Receivable, Credit Quality Indicator [Line Items]    
Gross loans $ 31,686 $ 5,693
% of Total Loans 1.30% 0.20%
Non-Performing Loans | Commercial loans | Construction    
Financing Receivable, Credit Quality Indicator [Line Items]    
Gross loans $ 0 $ 0
% of Total Loans 0.00% 0.00%
Non-Performing Loans | Commercial loans | Land - acquisition & development    
Financing Receivable, Credit Quality Indicator [Line Items]    
Gross loans $ 0 $ 0
% of Total Loans 0.00% 0.00%
Non-Performing Loans | Consumer loans    
Financing Receivable, Credit Quality Indicator [Line Items]    
Gross loans $ 16,552 $ 18,238
% of Total Loans 0.20% 0.40%
Non-Performing Loans | Consumer loans | Construction    
Financing Receivable, Credit Quality Indicator [Line Items]    
Gross loans $ 87 $ 435
% of Total Loans 0.00% 0.10%
Non-Performing Loans | Consumer loans | Single-family residential    
Financing Receivable, Credit Quality Indicator [Line Items]    
Gross loans $ 15,510 $ 17,450
% of Total Loans 0.20% 0.30%
Non-Performing Loans | Consumer loans | Land - consumer lot loans    
Financing Receivable, Credit Quality Indicator [Line Items]    
Gross loans $ 122 $ 84
% of Total Loans 0.10% 0.10%
Non-Performing Loans | Consumer loans | HELOC    
Financing Receivable, Credit Quality Indicator [Line Items]    
Gross loans $ 801 $ 233
% of Total Loans 0.40% 0.10%
Non-Performing Loans | Consumer loans | Consumer    
Financing Receivable, Credit Quality Indicator [Line Items]    
Gross loans $ 32 $ 36
% of Total Loans 0.00% 0.00%