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Condensed Consolidated Statements of Cash Flows (Unaudited) - USD ($)
$ in Millions
 3 Months Ended
Dec. 31, 2024
Dec. 31, 2023
Cash flows from operating activities:    
Net income $ 85.1 $ 69.1
Adjustments to reconcile net income to net cash (used in)/provided by operating activities:    
Depreciation and amortization 15.7 11.2
Amortization of right of use assets 7.7 3.2
Bad debts (recoveries), net 1.8 (0.3)
Deferred income taxes 5.4 1.5
Amortization of debt issuance costs 0.9 1.5
Amortization of share-based compensation 11.3 7.6
Changes in operating assets and liabilities, net:    
Securities and other assets segregated under federal and other regulations 42.7 2.3
Securities purchased under agreements to resell (277.7) (820.3)
Securities borrowed (458.4) 134.6
Deposits with and receivables from broker-dealers, clearing organizations, and counterparties, net (1,317.6) (206.8)
Receivables from clients, net (85.0) (142.2)
Notes receivable, net 0.0 (0.1)
Income taxes receivable (12.1) 4.2
Financial instruments owned, at fair value (158.9) (11.1)
Physical commodities inventory, net (178.6) 18.9
Other assets (3.7) (44.8)
Accounts payable and other accrued liabilities (64.3) (87.0)
Operating lease liabilities (7.7) 1.0
Payables to clients 992.3 72.6
Payables to broker-dealers, clearing organizations, and counterparties (288.7) 99.1
Income taxes payable 21.7 3.7
Securities sold under agreements to repurchase 291.6 1,527.6
Securities loaned 210.6 (174.6)
Financial instruments sold, not yet purchased, at fair value 688.1 (318.5)
Net cash (used in)/provided by operating activities (477.8) 152.4
Cash flows from investing activities:    
Acquisition of businesses and assets, net of cash received (8.0) 0.0
Purchases of property and equipment (13.6) (12.7)
Net cash used in investing activities (21.6) (12.7)
Cash flows from financing activities:    
Net change in payables to lenders under loans with maturities 90 days or less 211.2 77.5
Deferred payments on acquisitions (20.1) 0.0
Shares withheld to cover taxes on vesting of equity awards (3.7) (1.1)
Exercise of stock options 0.8 0.5
Net cash provided by financing activities 188.2 76.9
Effect of exchange rates on cash, segregated cash, cash equivalents, and segregated cash equivalents (18.4) 6.8
Net (decrease)/increase in cash, segregated cash, cash equivalents, and segregated cash equivalents (329.6) 223.4
Cash, segregated cash, cash equivalents, and segregated cash equivalents at beginning of period 6,672.6 6,041.7
Cash, segregated cash, cash equivalents, and segregated cash equivalents at end of period 6,343.0 6,265.1
Supplemental disclosure of cash flow information:    
Cash paid for interest 304.7 281.5
Income taxes paid, net of cash refunds 17.4 18.4
Supplemental disclosure of non-cash investing and financing activities:    
Identified intangible assets and goodwill on acquisitions 7.3 0.0
Additional consideration payable related to acquisitions, net 3.1 0.0
Acquisition consideration paid in silver bullion 12.6 0.0
Acquisition of business:    
Assets acquired 18.6 0.0
Liabilities assumed 2.2 0.0
Total net assets acquired 16.4 0.0
Cash and cash equivalents 1,398.2 1,157.6
Cash segregated under federal and other regulations [1] 2,847.5 2,771.1
Securities segregated under federal and other regulations [1] 299.9 0.0
Cash segregated and deposited with or pledged to exchange-clearing organizations and other futures commission merchants (“FCMs”) [2] 860.5 1,455.3
Securities segregated and pledged to exchange-clearing organizations [2] 936.9 881.1
Total cash, segregated cash, cash equivalents, and segregated cash equivalents shown in the condensed consolidated statements of cash flows 6,343.0 6,265.1
Non-cash equivalent segregated assets 9.2 3.5
Non-segregated cash and other non-cash equivalent assets included within deposits and receivables from broker-dealers, clearing organizations, and counterparties $ 5,986.5 $ 5,137.7
[1] Represents segregated client cash held at third-party banks. Excludes segregated commodity warehouse receipts, segregated U.S. Treasury obligations with original or acquired maturities of greater than 90 days, and other assets of $9.2 million and $3.5 million as of December 31, 2024 and 2023, respectively, included within Cash, securities and other assets segregated under federal and other regulations on the Condensed Consolidated Balance Sheets.
[2] Represents segregated client cash and U.S. Treasury obligations on deposit with, or pledged to, exchange clearing organizations and other FCMs. Excludes non-segregated cash, segregated U.S. Treasury obligations pledged to exchange-clearing organizations with original or acquired maturities greater than 90 days, and other assets of $5,986.5 million and $5,137.7 million as of December 31, 2024 and 2023, respectively, included within Deposits with and receivables from broker-dealers, clearing organizations, and counterparties, net on the Condensed Consolidated Balance Sheets.