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Condensed Consolidated Statements of Cash Flows - USD ($)
$ in Millions
 3 Months Ended
Mar. 31, 2023
Mar. 31, 2022
Cash flows from operating activities:    
Net income $ 173.4 $ 109.6
Adjustments to reconcile net income to net cash provided by operating activities:    
Depreciation and amortization 41.4 40.9
Amortization of debt issuance cost and debt discount 0.7 0.5
Realized gain on available-for-sale financial investments (0.9)  
Provision for accounts receivable credit losses 0.6 0.2
Benefit for deferred income taxes (10.6) (17.8)
Stock-based compensation expense 16.9 9.1
Loss on disposal of property and equipment   0.1
Equity (earnings) loss in investments (14.4) 3.1
Changes in assets and liabilities:    
Accounts receivable (20.2) (56.2)
Restricted cash and cash equivalents and customer bank deposits (included in margin deposits and clearing funds) 898.2 1,064.4
Income taxes receivable 43.8 42.7
Other current assets (2.2) 0.3
Other assets (8.4) (15.7)
Accounts payable and accrued liabilities (56.0) 2.8
Section 31 fees payable (71.7) (4.6)
Deferred revenue 9.9 11.2
Income taxes payable 15.7 24.5
Unrecognized tax benefits 14.3 56.0
Other liabilities 0.3 (11.3)
Net cash provided by operating activities 1,030.8 1,259.8
Cash flows from investing activities:    
Purchases of available-for-sale financial investments (48.8) (20.8)
Proceeds from maturities of available-for-sale financial investments 64.4 8.6
Proceeds from sale of intangible assets 0.8  
Contributions to investments (2.1) (1.9)
Purchases of property and equipment and leasehold improvements (12.4) (10.8)
Net cash provided by (used in) investing activities 1.9 (24.9)
Cash flows from financing activities:    
Proceeds from long-term debt   298.6
Debt issuance costs   (4.8)
Cash dividends on common stock (53.3) (51.4)
Repurchases of common stock from employee stock plans (12.7) (8.4)
Payments of contingent consideration related to acquisitions (4.9) (17.4)
Shares issued under employee stock purchase plan (0.3) (0.1)
Purchase of common stock (70.0) (70.0)
Net cash (used in) provided by financing activities (141.2) 146.5
Effect of foreign currency exchange rates on cash, cash equivalents, and restricted cash and cash equivalents 21.1 0.7
Increase in cash, cash equivalents, and restricted cash and cash equivalents 912.6 1,382.1
Cash, cash equivalents, and restricted cash and cash equivalents: Beginning of period 979.9 1,092.2
Cash, cash equivalents, and restricted cash and cash equivalents: End of period 1,892.5 2,474.3
Supplemental disclosure of cash transactions:    
Cash paid for income taxes, net of refunds 9.3 10.3
Cash paid for interest $ 21.4 $ 8.8