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Condensed Financial Information - Parent Company Only: Condensed Statements of Cash Flows, Parent Company (Details) - USD ($)
$ in Thousands
 3 Months Ended 12 Months Ended
Sep. 30, 2022
Jun. 30, 2022
Mar. 31, 2022
Dec. 31, 2021
Sep. 30, 2021
Jun. 30, 2021
Mar. 31, 2021
Dec. 31, 2020
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Cash flows from operating activities                      
Net income $ 7,050 $ 5,738 $ 5,327 $ 5,485 $ 6,018 $ 7,024 $ 7,251 $ 7,290 $ 23,600 $ 27,583 $ 24,269
Adjustments to reconcile net income to net cash provided by operating activities:                      
Earned ESOP shares                 0 0 31
Stock option compensation expense                 246 173 182
Net cash provided by operating activities                 26,500 29,635 33,856
Cash flows from investing activities                      
Purchase of investment securities held to maturity                 (208,778) (53,049) (10,255)
Net cash provided by (used in) investing activities                 (335,162) 37,445 (154,668)
Cash flows from financing activities                      
Repurchase of common stock                 (4,583) (527) (1,238)
Payment of dividends                 (7,232) (8,589) (7,083)
Net cash provided by financing activities                 45,221 198,664 292,249
Cash and cash equivalents:                      
Beginning of year       580,196         580,196    
End of year 316,755       580,196       316,755 580,196  
Parent Company                      
Cash flows from operating activities                      
Net income                 23,600 27,583 24,269
Adjustments to reconcile net income to net cash provided by operating activities:                      
   Equity in undistributed income of Bank                 (13,482) (18,726) (15,844)
Earned ESOP shares                 0 0 31
Stock option compensation expense                 246 173 182
Other, net                 16 (97) (279)
Net cash provided by operating activities                 10,380 8,933 8,359
Cash flows from investing activities                      
Investment in Bank                 (202) (149) (187)
Purchase of investment securities held to maturity                 0 0 (500)
Net cash provided by (used in) investing activities                 (202) (149) (687)
Cash flows from financing activities                      
Proceeds from exercise of stock options                 415 631 391
Repurchase of common stock                 (4,583) (527) (1,238)
Payment of dividends                 (7,232) (8,589) (7,083)
Net cash provided by financing activities                 (11,400) (8,485) (7,930)
Net increase (decrease) in cash and cash equivalents                 (1,222) 299 (258)
Cash and cash equivalents:                      
Beginning of year       $ 2,932       $ 2,633 2,932 2,633 2,891
End of year $ 1,710       $ 2,932       $ 1,710 $ 2,932 $ 2,633