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Condensed Consolidated Statements of Cash Flows - USD ($)
$ in Thousands
 6 Months Ended
Mar. 31, 2022
Mar. 31, 2021
Cash flows from operating activities:    
Net income before noncontrolling interest $ 111,408 $ 89,167
Adjustments to reconcile net income to net cash provided by (used in) operating activities:    
Depreciation, amortization and accretion, net 30,753 28,414
Provision for credit losses 32,488 36,379
Provision (reversal of) for deferred taxes 14,091 (5,933)
Originations of loans held for sale (555,397) (361,722)
Proceeds from sales of loans held for sale 723,942 575,931
Net change in loans held for sale 8,834 5,500
Fair value adjustment of foreclosed real estate 250 466
Net realized (gain) on securities available for sale, net 0 (6)
Net realized (gain) on securities held to maturity, net (397) 0
Net realized (gain) loss on loans held for sale 4,065 (4,610)
Net realized loss on premise, furniture, and equipment 43 0
Net realized (gain) on lease receivables and equipment (1,063) (360)
Net realized (gain) on foreclosed real estate and repossessed assets 0 (4)
Net realized (gain) on trademarks (50,000) 0
Change in bank-owned life insurance value (1,212) (1,227)
Net change in accrued interest receivable (2,862) (801)
Net change in other assets (20,718) (28,635)
Net change in accrued expenses and other liabilities (8,400) 49,774
Stock compensation 5,524 3,592
Net cash provided by operating activities 291,349 385,925
Cash flows from investing activities:    
Purchases of securities available for sale (470,067) (411,458)
Proceeds from sales of securities available for sale 0 50,468
Proceeds from maturities of and principal collected on securities available for sale 184,107 137,635
Proceeds from sales of securities held to maturity 460 0
Proceeds from maturities of and principal collected on securities held to maturity 8,937 19,536
Purchases of Federal Reserve Bank and Federal Home Loan Bank stock (103,573) (1,295)
Redemption of Federal Reserve Bank and Federal Home Loan Bank stock 103,160 0
Purchases of loans and leases (88,913) (99,083)
Proceeds from sales of loans and leases 45,784 12,005
Net change in loans and leases (69,966) (353,781)
Purchases of premises, furniture, and equipment (3,718) (4,254)
Proceeds from sales of premises, furniture, and equipment 35 0
Purchases of rental equipment (196,043) (26,212)
Proceeds from sales of rental equipment 6,811 7,830
Net change in rental equipment (1,567) 0
Proceeds from sales of foreclosed real estate and repossessed assets 1,715 8,021
Proceeds from sale of trademarks 50,000 0
Net cash (used in) investing activities (532,838) (660,588)
Cash flows from financing activities:    
Net change in deposits 314,915 3,663,213
Principal payments on capital lease obligations (74) (16)
Principal payments on other liabilities (1,463) (2,957)
Dividends paid on common stock (3,004) (3,209)
Issuance of common stock due to ESOP 2,886 3,036
Repurchases of common stock (146,653) (86,977)
Distributions to noncontrolling interest (1,666) (2,123)
Net cash provided by financing activities 164,941 3,570,967
Effect of exchange rate changes on cash 209 571
Net change in cash and cash equivalents (76,339) 3,296,875
Cash and cash equivalents at beginning of fiscal year 314,019 427,367
Cash and cash equivalents at end of fiscal period 237,680 3,724,242
Supplemental disclosure of cash flow information:    
Interest 2,663 3,063
Income taxes 9,381 3,176
Franchise taxes 100 100
Other taxes 432 591
Supplemental schedule of non-cash investing activities:    
Held for sale to loans and leases 14,731 0
Loans and leases to held for sale 169,045 99,922
Loans and leases to rental equipment 2,634 2,378
Loans and leases to foreclosed real estate and repossessed assets 0 9
Rental equipment to loan and leases 177,193 62
Recognition of operating lease ROU assets, net of measurements $ 0 $ 12,681