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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, 2024
Jun. 30, 2024
Mar. 31, 2024
Dec. 31, 2023
Sep. 30, 2023
Jun. 30, 2023
Mar. 31, 2023
Dec. 31, 2022
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Cash flows from operating activities                      
Net income $ 6,355 $ 5,924 $ 5,708 $ 6,296 $ 6,642 $ 6,306 $ 6,663 $ 7,507 $ 24,283 $ 27,118 $ 23,600
Adjustments to reconcile net income to net cash provided by operating activities:                      
Stock option compensation expense                 390 320 246
Net cash provided by operating activities                 23,020 30,997 26,500
Cash flows from investing activities                      
Purchase of investment securities held to maturity                 (1,919) (15,602) (208,778)
Net cash used in investing activities                 (45,797) (170,223) (335,162)
Cash flows from financing activities                      
Proceeds from exercise of stock options                 659 698 415
Repurchase of common stock, net of taxes                 (5,958) (4,998) (4,583)
Payment of dividends                 (7,650) (8,267) (7,232)
Net cash provided by (used in) financing activities                 58,784 (48,808) 45,221
Net increase (decrease) in cash and cash equivalents                 36,007 (188,034) (263,441)
Cash and cash equivalents:                      
Beginning of year       128,721         128,721    
End of year 164,728       128,721       164,728 128,721  
Parent Company                      
Cash flows from operating activities                      
Net income                 24,283 27,118 23,600
Adjustments to reconcile net income to net cash provided by operating activities:                      
   Equity in undistributed income of Bank                 (10,442) (15,897) (13,482)
Stock option compensation expense                 390 320 246
Other, net                 (50) 100 16
Net cash provided by operating activities                 14,181 11,641 10,380
Cash flows from investing activities                      
Investment in Bank                 (319) (267) (202)
Net cash used in investing activities                 (319) (267) (202)
Cash flows from financing activities                      
Proceeds from exercise of stock options                 659 698 415
Repurchase of common stock, net of taxes                 (5,958) (4,998) (4,583)
Payment of dividends                 (7,650) (8,267) (7,232)
Net cash provided by (used in) financing activities                 (12,949) (12,567) (11,400)
Net increase (decrease) in cash and cash equivalents                 913 (1,193) (1,222)
Cash and cash equivalents:                      
Beginning of year       $ 517       $ 1,710 517 1,710 2,932
End of year $ 1,430       $ 517       $ 1,430 $ 517 $ 1,710