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Condensed Consolidated Statements of Cash Flows - USD ($)
$ in Millions
 9 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Cash flows from operating activities:    
Net income $ 363.1 $ 380.9
Adjustments to reconcile net income to net cash provided by operating activities:    
Depreciation and amortization 125.4 118.0
Amortization of debt issuance cost and debt discount 1.8 1.5
Realized gain on available-for-sale financial investments   (0.4)
Provision for accounts receivable credit losses 0.8 0.1
Provision for deferred income taxes 17.5 (8.8)
Provision for notes receivable credit losses   6.7
Stock-based compensation expense 22.7 17.3
Impairment of property held for sale   8.1
Impairment of investments 5.6 4.1
Equity earnings in investments 0.4 (0.9)
Bargain purchase gain   (32.6)
Changes in assets and liabilities:    
Accounts receivable 14.5 (43.3)
Restricted cash and cash equivalents (margin deposits and clearing funds) 853.5 771.9
Restricted cash and cash equivalents (included in other current assets) 4.4  
Income taxes receivable 4.8 0.2
Other current assets (14.2) (5.9)
Other assets (24.6) (17.2)
Accounts payable and accrued liabilities 8.9 21.4
Section 31 fees payable (143.2) (59.4)
Deferred revenue 3.7 7.9
Income taxes payable 1.4 (1.5)
Unrecognized tax benefits 32.2 21.4
Other liabilities 6.7 (0.1)
Net cash provided by operating activities 1,285.4 1,189.4
Cash flows from investing activities:    
Acquisitions, net of cash acquired (167.3) (103.3)
Proceeds from acquisition-related escrow 0.5  
Purchases of available-for-sale financial investments (92.6) (154.9)
Proceeds from maturities of available-for-sale financial investments 160.2 202.5
Contributions to investments   (11.7)
Purchases of property and equipment and leasehold improvements (37.3) (37.2)
Net cash used in investing activities (136.5) (104.6)
Cash flows from financing activities:    
Principal payments of current portion of long-term debt (20.0)  
Proceeds from term loan 110.0 70.0
Cash dividends on common stock (141.8) (125.3)
Repurchases of common stock from employee stock plans (6.0) (14.2)
Exercise of common stock options   0.2
Payment of contingent consideration from acquisition (7.1) (2.2)
Shares issued under employee stock purchase plan (0.3)  
Purchase of common stock (81.3) (261.1)
Net cash used in financing activities (146.5) (332.6)
Effect of foreign currency exchange rates on cash, cash equivalents, and restricted cash and cash equivalents 2.5 3.1
Increase in cash, cash equivalents, and restricted cash and cash equivalents 1,004.9 755.3
Cash, cash equivalents, and restricted cash and cash equivalents: Beginning of period 1,057.5 229.3
Cash, cash equivalents, and restricted cash and cash equivalents: End of period 2,062.4 984.6
Supplemental disclosure of cash transactions:    
Cash paid for income taxes 144.4 145.4
Cash paid for interest 24.6 27.3
Supplemental disclosure of noncash investing activities:    
Accounts receivable acquired 3.5 6.4
Income taxes receivable acquired   1.6
Other current assets acquired 1.1 4.8
Goodwill acquired 134.0 105.9
Intangible assets acquired 73.8 91.3
Property and equipment, net acquired 3.2 3.5
Other assets, net acquired 0.5  
Accounts payable and accrued expenses assumed (1.8) (14.7)
Income taxes payable assumed (0.1) (0.9)
Deferred revenue acquired   (1.3)
Contingent consideration related to acquisitions $ (49.6) (37.9)
Deferred income taxes acquired   $ (7.3)