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SEGMENT REPORTING - Summarized Financial Information by Reportable Segment (Details)
$ in Millions
 3 Months Ended 9 Months Ended 12 Months Ended
Sep. 30, 2025
USD ($)
Jun. 30, 2025
USD ($)
Mar. 31, 2025
USD ($)
Sep. 30, 2024
USD ($)
Jun. 30, 2024
USD ($)
Mar. 31, 2024
USD ($)
Sep. 30, 2025
USD ($)
segment
Sep. 30, 2024
USD ($)
Dec. 31, 2024
segment
Segment Reporting Information                  
Number of reportable segments | segment             5   6
Revenues $ 1,141.7     $ 1,055.7     $ 3,510.2 $ 2,986.9  
Operating income (loss) 370.3     307.4     1,063.3 799.9  
Total cost of revenues 536.2     523.7     1,752.2 1,439.0  
Revenues less cost of revenues: 605.5     532.0     1,758.0 1,547.9  
Depreciation and amortization 30.9     31.8     91.1 100.9  
Other segment operating expenses 204.3     192.8     603.6 647.1  
Non-operating income (expenses):                  
Interest expense (13.3)     (12.8)     (39.0) (38.6)  
Interest income 14.3     11.4     34.0 20.1  
Earnings on investments, net 52.7     1.0     48.3 29.2  
Other income (expense), net 6.1     2.0     8.3 (6.5)  
Income (loss) before income tax provision (benefit) 430.1     309.0     1,114.9 804.1  
Income tax provision (benefit) 129.3     90.5     328.4 235.7  
Net income 300.8 $ 235.1 $ 250.6 218.5 $ 140.4 $ 209.5 786.5 568.4  
Operating Segments | Options                  
Segment Reporting Information                  
Revenues 616.0     510.3     1,776.4 1,470.0  
Operating income (loss) 274.4     221.2     792.2 653.6  
Total cost of revenues 235.2     189.4     678.4 535.0  
Revenues less cost of revenues: 380.8     320.9     1,098.0 935.0  
Depreciation and amortization 7.6     6.6     21.5 20.1  
Other segment operating expenses 98.8     93.1     284.3 261.3  
Non-operating income (expenses):                  
Interest expense 0.0     0.0     0.0 0.1  
Interest income 0.2     0.1     0.6 0.1  
Earnings on investments, net 0.0     0.0     0.0 0.0  
Other income (expense), net 0.2     (0.2)     (1.2) 0.6  
Income (loss) before income tax provision (benefit) 274.8     221.1     791.6 654.4  
Income tax provision (benefit) 0.0     0.0     0.1 0.0  
Net income 274.8     221.1     791.5 654.4  
Operating Segments | North American Equities                  
Segment Reporting Information                  
Revenues 377.8     403.6     1,279.7 1,106.5  
Operating income (loss) 53.5     44.1     145.2 127.4  
Total cost of revenues 274.3     305.6     983.2 817.6  
Revenues less cost of revenues: 103.5     98.0     296.5 288.9  
Depreciation and amortization 11.7     14.1     35.2 44.2  
Other segment operating expenses 38.3     39.8     116.1 117.3  
Non-operating income (expenses):                  
Interest expense 0.0     0.0     0.0 0.0  
Interest income 0.9     0.7     2.5 1.5  
Earnings on investments, net 0.4     0.0     1.0 0.0  
Other income (expense), net 0.2     0.0     (1.0) 0.1  
Income (loss) before income tax provision (benefit) 55.0     44.8     147.7 129.0  
Income tax provision (benefit) 1.0     0.7     2.7 2.4  
Net income 54.0     44.1     145.0 126.6  
Operating Segments | Europe and Asia Pacific                  
Segment Reporting Information                  
Revenues 92.8     81.1     284.9 243.4  
Operating income (loss) 16.4     11.3     43.2 30.7  
Total cost of revenues 23.7     25.5     81.3 79.4  
Revenues less cost of revenues: 69.1     55.6     203.6 164.0  
Depreciation and amortization 8.2     7.2     24.2 21.7  
Other segment operating expenses 44.5     37.1     136.2 111.6  
Non-operating income (expenses):                  
Interest expense (2.4)     (1.9)     (6.2) (5.9)  
Interest income 1.1     1.1     3.2 3.0  
Earnings on investments, net 0.0     0.0     0.0 0.0  
Other income (expense), net 1.4     0.3     1.1 (0.1)  
Income (loss) before income tax provision (benefit) 16.5     10.8     41.3 27.7  
Income tax provision (benefit) 0.3     (0.6)     1.3 (2.2)  
Net income 16.2     11.4     40.0 29.9  
Operating Segments | Futures                  
Segment Reporting Information                  
Revenues 32.0     39.9     99.8 107.2  
Operating income (loss) 16.8     29.4     54.5 77.8  
Total cost of revenues 2.4     1.9     7.3 3.9  
Revenues less cost of revenues: 29.6     38.0     92.5 103.3  
Depreciation and amortization 0.6     0.6     1.7 1.8  
Other segment operating expenses 12.2     8.0     36.3 23.7  
Non-operating income (expenses):                  
Interest expense 0.0     0.0     0.0 0.0  
Interest income 0.6     0.0     1.8 0.0  
Earnings on investments, net 0.0     0.0     0.0 0.0  
Other income (expense), net 0.0     0.0     0.0 0.0  
Income (loss) before income tax provision (benefit) 17.4     29.4     56.3 77.8  
Income tax provision (benefit) 0.0     0.0     0.0 0.0  
Net income 17.4     29.4     56.3 77.8  
Operating Segments | Global FX                  
Segment Reporting Information                  
Revenues 23.1     20.7     69.4 60.0  
Operating income (loss) 11.5     9.2     34.3 25.0  
Total cost of revenues 0.6     0.7     2.0 1.8  
Revenues less cost of revenues: 22.5     20.0     67.4 58.2  
Depreciation and amortization 2.8     3.1     8.4 10.4  
Other segment operating expenses 8.2     7.7     24.7 22.8  
Non-operating income (expenses):                  
Interest expense 0.0     0.0     0.0 0.0  
Interest income 0.0     0.0     0.1 0.0  
Earnings on investments, net 0.0     0.0     0.0 0.0  
Other income (expense), net 0.0     0.0     0.2 (0.1)  
Income (loss) before income tax provision (benefit) 11.5     9.2     34.6 24.9  
Income tax provision (benefit) 0.0     0.0     (0.1) 0.0  
Net income 11.5     9.2     34.7 24.9  
Operating Segments | Digital                  
Segment Reporting Information                  
Revenues 0.0     0.1     0.0 (0.2)  
Operating income (loss) 0.0     (6.2)     0.0 (106.7)  
Total cost of revenues 0.0     0.6     0.0 1.3  
Revenues less cost of revenues: 0.0     (0.5)     0.0 (1.5)  
Depreciation and amortization 0.0     0.1     0.0 2.6  
Other segment operating expenses 0.0     5.6     0.0 102.6  
Non-operating income (expenses):                  
Interest expense 0.0     0.0     0.0 0.0  
Interest income 0.0     0.9     0.0 3.1  
Earnings on investments, net 0.0     0.0     0.0 0.0  
Other income (expense), net 0.0     0.1     0.0 1.6  
Income (loss) before income tax provision (benefit) 0.0     (5.2)     0.0 (102.0)  
Income tax provision (benefit) 0.0     0.0     0.0 0.0  
Net income 0.0     (5.2)     0.0 (102.0)  
Corporate Items and Eliminations                  
Segment Reporting Information                  
Revenues 0.0     0.0     0.0 0.0  
Operating income (loss) (2.3)     (1.6)     (6.1) (7.9)  
Total cost of revenues 0.0     0.0     0.0 0.0  
Revenues less cost of revenues: 0.0     0.0     0.0 0.0  
Depreciation and amortization 0.0     0.1     0.1 0.1  
Other segment operating expenses 2.3     1.5     6.0 7.8  
Non-operating income (expenses):                  
Interest expense (10.9)     (10.9)     (32.8) (32.8)  
Interest income 11.5     8.6     25.8 12.4  
Earnings on investments, net 52.3     1.0     47.3 29.2  
Other income (expense), net 4.3     1.8     9.2 (8.6)  
Income (loss) before income tax provision (benefit) 54.9     (1.1)     43.4 (7.7)  
Income tax provision (benefit) 128.0     90.4     324.4 235.5  
Net income $ (73.1)     $ (91.5)     $ (281.0) $ (243.2)