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Consolidated Statements of Comprehensive Income - USD ($)
$ in Thousands
 12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Statement of Comprehensive Income [Abstract]      
Net income $ 200,041 $ 257,426 $ 236,330
Other comprehensive income (loss), net of tax:      
Net unrealized gain (loss) during the period on available-for-sale debt securities, net of tax of $(17,782), $2,493 and $36,908 61,225 (9,360) (123,077)
Reclassification adjustment of net (gain) loss included in net income during the period from sale of available-for-sale securities, net of tax of $(81), $(9) and $(23) 261 26 76
Net unrealized gain (loss) from investment securities, net of reclassification adjustment 61,486 (9,334) (123,001)
Net unrealized gain (loss) during the period on borrowing cash flow hedges, net of tax of $14,546, $(654) and $(31,805) (52,556) 3,774 105,697
Net unrealized gain (loss) in cash flow hedging instruments, net of reclassification adjustment (52,556) 3,774 105,697
Other comprehensive income (loss) 8,930 (5,560) (17,304)
Comprehensive income $ 208,971 $ 251,866 $ 219,026