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Condensed Consolidated Statements of Cash Flows (Unaudited) - USD ($)
$ in Thousands
 6 Months Ended
Mar. 31, 2025
Mar. 31, 2024
Cash flows from operating activities:    
Net income before noncontrolling interest $ 105,359 $ 105,323
Adjustments to reconcile net income to net cash provided by (used in) operating activities:    
Depreciation and amortization 30,330 29,457
Provision for credit loss 53,927 37,502
Provision for deferred taxes 11,919 8,058
Originations of loans held for sale (1,377,073) (933,786)
Proceeds from sales of loans held for sale 1,146,702 968,998
Net change in loans held for sale 266,707 17,924
Net realized loss (gain) on securities available for sale 22,899 0
Net realized (gain) loss on loans held for sale (19,755) (1,370)
Net realized (gain) loss on divestitures (15,044) 0
Net realized (gain) on other (1,614) (3,165)
Impairment on rental equipment 1,514 2,013
Net change in accrued interest receivable (5,696) (7,012)
Net change in other assets (15,137) (14,007)
Net change in accrued expenses and other liabilities (93,517) 16,671
Stock compensation 5,072 5,904
Net cash provided by operating activities 116,593 232,510
Cash flows from investing activities:    
Purchases of securities available for sale (2,280) 0
Proceeds from sales of securities available for sale 217,883 0
Proceeds from maturities of and principal collected on securities available for sale 77,087 89,476
Proceeds from maturities of and principal collected on securities held to maturity 1,668 1,811
Purchases of Federal Reserve Bank and Federal Home Loan Bank stock (138,834) (183,010)
Redemption of Federal Reserve Bank and Federal Home Loan Bank stock 150,572 185,377
Purchases of loans and leases (166,651) (163,091)
Net change in loans and leases (302,546) 238,799
Purchases of premises, furniture, and equipment (5,668) (3,592)
Purchases of rental equipment (87,111) (173,005)
Proceeds from sales of rental equipment 8,308 4,951
Net change in rental equipment 368 188
Proceeds from divestitures, net of transaction costs 608,455 0
Proceeds from sale of other assets 407 4,091
Proceeds from loans held for sale previously classified as portfolio loans 146,158 0
Net cash provided by (used in) investing activities 507,816 1,995
Cash flows from financing activities:    
Net change in deposits (43,802) (220,838)
Net change in short-term borrowings (377,000) 18,000
Principal payments on other liabilities 0 (550)
Dividends paid on common stock (2,392) (2,566)
Issuance of common stock due to restricted stock 0 3
Repurchases of common stock (102,447) (56,364)
Investment by (distributions to) noncontrolling interest (817) 79
Net cash provided by (used in) financing activities (526,458) (262,236)
Effect of exchange rate changes on cash (2,039) 39
Net change in cash and cash equivalents 95,912 (27,692)
Cash and cash equivalents at beginning of fiscal year 158,337 375,580
Cash and cash equivalents at end of fiscal period 254,249 347,888
Supplemental disclosure of cash flow information    
Interest 9,220 12,608
Income taxes 9,730 9,694
Franchise and other taxes 401 398
Supplemental schedule of non-cash investing activities:    
Held for sale to loans and leases 22,686 0
Loans and leases to held for sale 130,011 0
Loans and leases to rental equipment 2,588 2,538
Rental equipment to loan and leases 60,398 143,752
Recognition of operating lease ROU assets, net of measurements 0 654
Joint venture membership interest divestiture $ 0 $ 524