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Consolidated Statements of Comprehensive Income - USD ($)
$ in Thousands
 12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Statement of Comprehensive Income [Abstract]      
Net income $ 183,615 $ 173,438 $ 210,256
Other comprehensive income (loss), net of tax:      
Net unrealized gain (loss) during the period on available-for-sale debt securities, net of tax of $(2,020), $(6,220) and $(8,917) 6,762 20,528 30,278
Reclassification adjustment of net (gain) loss included in net income during the period from sale of available-for-sale securities, net of tax of $(3), $3,456 and $2 11 (11,572) (7)
Net unrealized gain (loss) from investment securities, net of reclassification adjustment 6,773 8,956 30,271
Net unrealized gain (loss) during the period on borrowing cash flow hedges, net of tax of $(17,003), $2,204 and $6,854 56,924 (7,295) (23,273)
Reclassification adjustment of net (gain) loss included in net income during the period from hedging derivatives, net of tax of $3,245, $0 and $0 (10,865) 0 0
Net unrealized gain (loss) in cash flow hedging instruments, net of reclassification adjustment 46,059 (7,295) (23,273)
Other comprehensive income (loss) 52,832 1,661 6,998
Comprehensive income $ 236,447 $ 175,099 $ 217,254