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Consolidated Statements of Comprehensive Income - USD ($)
$ in Thousands
 12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Statement of Comprehensive Income [Abstract]      
Net income $ 236,330 $ 183,615 $ 173,438
Other comprehensive income (loss), net of tax:      
Net unrealized gain (loss) during the period on available-for-sale debt securities, net of tax of $36,908, $(2,020) and $(6,220) (123,077) 6,762 20,528
Reclassification adjustment of net (gain) loss included in net income during the period from sale of available-for-sale securities, net of tax of $(23), $(3) and $3,456 76 11 (11,572)
Net unrealized gain (loss) from investment securities, net of reclassification adjustment (123,001) 6,773 8,956
Net unrealized gain (loss) during the period on borrowing cash flow hedges, net of tax of $(31,805), $(17,003) and $2,204 105,697 56,924 (7,295)
Reclassification adjustment of net (gain) loss included in net income during the period from hedging derivatives, net of tax of $—, $3,245 and $0 0 (10,865) 0
Net unrealized gain (loss) in cash flow hedging instruments, net of reclassification adjustment 105,697 46,059 (7,295)
Other comprehensive income (loss) (17,304) 52,832 1,661
Comprehensive income $ 219,026 $ 236,447 $ 175,099