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SEGMENT REPORTING - Summarized Financial Information by Reportable Segment (Details)
$ in Millions
 3 Months Ended 6 Months Ended 12 Months Ended
Jun. 30, 2025
USD ($)
Mar. 31, 2025
USD ($)
Jun. 30, 2024
USD ($)
Mar. 31, 2024
USD ($)
Jun. 30, 2025
USD ($)
segment
Jun. 30, 2024
USD ($)
Dec. 31, 2024
segment
Segment Reporting Information              
Number of reportable segments | segment         5   6
Revenues $ 1,173.5   $ 974.0   $ 2,368.5 $ 1,931.2  
Operating income (loss) 339.1   210.1   693.0 492.5  
Total cost of revenues 586.2   460.2   1,216.0 915.3  
Revenues less cost of revenues: 587.3   513.8   1,152.5 1,015.9  
Depreciation and amortization 29.9   31.8   60.2 69.1  
Other segment operating expenses 218.3   271.9   399.3 454.3  
Non-operating (expenses) income:              
Interest expense (12.9)   (12.8)   (25.7) (25.8)  
Interest income 11.3   4.6   19.7 8.7  
(Loss) earnings on investments, net (1.1)   14.2   (4.4) 28.2  
Other income (expense), net (1.8)   (13.1)   2.2 (8.5)  
Income (loss) before income tax provision (benefit) 334.6   203.0   684.8 495.1  
Income tax provision (benefit) 99.5   62.6   199.1 145.2  
Net income 235.1 $ 250.6 140.4 $ 209.5 485.7 349.9  
Operating Segments | Options              
Segment Reporting Information              
Revenues 575.8   482.3   1,160.4 959.7  
Operating income (loss) 259.9   215.6   517.8 432.4  
Total cost of revenues 211.0   175.6   443.2 345.6  
Revenues less cost of revenues: 364.8   306.7   717.2 614.1  
Depreciation and amortization 7.0   6.4   13.9 13.5  
Other segment operating expenses 97.9   84.7   185.5 168.2  
Non-operating (expenses) income:              
Interest expense 0.0   0.0   0.0 0.1  
Interest income 0.2   0.0   0.4 0.0  
(Loss) earnings on investments, net 0.0   0.0   0.0 0.0  
Other income (expense), net (1.4)   1.0   (1.4) 0.8  
Income (loss) before income tax provision (benefit) 258.7   216.6   516.8 433.3  
Income tax provision (benefit) 0.0   0.0   0.1 0.0  
Net income 258.7   216.6   516.7 433.3  
Operating Segments | North American Equities              
Segment Reporting Information              
Revenues 441.8   353.3   901.9 702.9  
Operating income (loss) 47.3   45.3   91.7 83.3  
Total cost of revenues 343.4   255.0   708.9 512.0  
Revenues less cost of revenues: 98.4   98.3   193.0 190.9  
Depreciation and amortization 11.5   14.3   23.5 30.1  
Other segment operating expenses 39.6   38.7   77.8 77.5  
Non-operating (expenses) income:              
Interest expense 0.0   0.0   0.0 0.0  
Interest income 0.9   0.5   1.6 0.8  
(Loss) earnings on investments, net 0.3   0.0   0.6 0.0  
Other income (expense), net (0.6)   0.1   (1.2) 0.1  
Income (loss) before income tax provision (benefit) 47.9   45.9   92.7 84.2  
Income tax provision (benefit) 0.8   0.9   1.7 1.7  
Net income 47.1   45.0   91.0 82.5  
Operating Segments | Europe and Asia Pacific              
Segment Reporting Information              
Revenues 99.0   81.6   192.1 162.3  
Operating income (loss) 4.8   9.2   26.8 19.4  
Total cost of revenues 28.6   27.3   57.6 53.9  
Revenues less cost of revenues: 70.4   54.3   134.5 108.4  
Depreciation and amortization 8.1   6.6   16.0 14.5  
Other segment operating expenses 57.5   38.5   91.7 74.5  
Non-operating (expenses) income:              
Interest expense (2.0)   (1.9)   (3.8) (4.0)  
Interest income 1.0   1.0   2.1 1.9  
(Loss) earnings on investments, net 0.0   0.0   0.0 0.0  
Other income (expense), net (0.1)   (0.2)   (0.3) (0.4)  
Income (loss) before income tax provision (benefit) 3.7   8.1   24.8 16.9  
Income tax provision (benefit) 1.0   (1.9)   1.0 (1.6)  
Net income 2.7   10.0   23.8 18.5  
Operating Segments | Futures              
Segment Reporting Information              
Revenues 32.5   35.9   67.8 67.3  
Operating income (loss) 17.1   26.3   37.7 48.4  
Total cost of revenues 2.4   1.1   4.9 2.0  
Revenues less cost of revenues: 30.1   34.8   62.9 65.3  
Depreciation and amortization 0.5   0.6   1.1 1.2  
Other segment operating expenses 12.5   7.9   24.1 15.7  
Non-operating (expenses) income:              
Interest expense 0.0   0.0   0.0 0.0  
Interest income 0.6   0.0   1.2 0.0  
(Loss) 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) 17.7   26.3   38.9 48.4  
Income tax provision (benefit) 0.0   0.0   0.0 0.0  
Net income 17.7   26.3   38.9 48.4  
Operating Segments | Global FX              
Segment Reporting Information              
Revenues 24.4   20.5   46.3 39.3  
Operating income (loss) 12.5   9.2   22.8 15.8  
Total cost of revenues 0.8   0.7   1.4 1.1  
Revenues less cost of revenues: 23.6   19.8   44.9 38.2  
Depreciation and amortization 2.7   3.2   5.6 7.3  
Other segment operating expenses 8.4   7.4   16.5 15.1  
Non-operating (expenses) income:              
Interest expense 0.0   0.0   0.0 0.0  
Interest income 0.1   0.0   0.1 0.0  
(Loss) 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) 12.6   9.2   23.1 15.7  
Income tax provision (benefit) 0.0   0.0   (0.1) 0.0  
Net income 12.6   9.2   23.2 15.7  
Operating Segments | Digital              
Segment Reporting Information              
Revenues 0.0   0.4   0.0 (0.3)  
Operating income (loss) 0.0   (90.3)   0.0 (100.5)  
Total cost of revenues 0.0   0.5   0.0 0.7  
Revenues less cost of revenues: 0.0   (0.1)   0.0 (1.0)  
Depreciation and amortization 0.0   0.7   0.0 2.5  
Other segment operating expenses 0.0   89.5   0.0 97.0  
Non-operating (expenses) income:              
Interest expense 0.0   0.0   0.0 0.0  
Interest income 0.0   1.1   0.0 2.2  
(Loss) earnings on investments, net 0.0   0.0   0.0 0.0  
Other income (expense), net 0.0   1.0   0.0 1.5  
Income (loss) before income tax provision (benefit) 0.0   (88.2)   0.0 (96.8)  
Income tax provision (benefit) 0.0   0.0   0.0 0.0  
Net income 0.0   (88.2)   0.0 (96.8)  
Corporate Items and Eliminations              
Segment Reporting Information              
Revenues 0.0   0.0   0.0 0.0  
Operating income (loss) (2.5)   (5.2)   (3.8) (6.3)  
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 0.1   0.0   0.1 0.0  
Other segment operating expenses 2.4   5.2   3.7 6.3  
Non-operating (expenses) income:              
Interest expense (10.9)   (10.9)   (21.9) (21.9)  
Interest income 8.5   2.0   14.3 3.8  
(Loss) earnings on investments, net (1.4)   14.2   (5.0) 28.2  
Other income (expense), net 0.3   (15.0)   4.9 (10.4)  
Income (loss) before income tax provision (benefit) (6.0)   (14.9)   (11.5) (6.6)  
Income tax provision (benefit) 97.7   63.6   196.4 145.1  
Net income $ (103.7)   $ (78.5)   $ (207.9) $ (151.7)