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GOODWILL, INTANGIBLE ASSETS, NET, AND DIGITAL ASSETS HELD - Intangible Assets by Category (Details) - USD ($)
$ in Millions
Sep. 30, 2025
Dec. 31, 2024
Intangible Assets    
Intangible assets, net $ 1,330.3 $ 1,376.9
Customer relationships | Weighted Average Amortization Period (in years)    
Intangible Assets    
Weighted Average Amortization Period (in years) 13 years 14 years
Market data customer relationships | Weighted Average Amortization Period (in years)    
Intangible Assets    
Weighted Average Amortization Period (in years) 7 years 7 years
Technology | Weighted Average Amortization Period (in years)    
Intangible Assets    
Weighted Average Amortization Period (in years) 6 years 7 years
Trademarks and trade names | Weighted Average Amortization Period (in years)    
Intangible Assets    
Weighted Average Amortization Period (in years) 4 years 5 years
Options    
Intangible Assets    
Accumulated amortization $ (115.1) $ (110.3)
Intangible assets, net 121.6 126.4
Options | Customer relationships    
Intangible Assets    
Finite-lived intangible assets, gross 46.6 46.6
Options | Market data customer relationships    
Intangible Assets    
Finite-lived intangible assets, gross 53.6 53.6
Options | Technology    
Intangible Assets    
Finite-lived intangible assets, gross 28.1 28.1
Options | Trademarks and trade names    
Intangible Assets    
Finite-lived intangible assets, gross 12.9 12.9
Options | Trading registrations and licenses    
Intangible Assets    
Indefinite-lived intangible assets, gross 95.5 95.5
Options | Digital assets held    
Intangible Assets    
Indefinite-lived intangible assets, gross 0.0 0.0
North American Equities    
Intangible Assets    
Accumulated amortization (551.5) (520.3)
Intangible assets, net 851.2 879.6
North American Equities | Customer relationships    
Intangible Assets    
Finite-lived intangible assets, gross 411.4 409.7
North American Equities | Market data customer relationships    
Intangible Assets    
Finite-lived intangible assets, gross 322.0 322.0
North American Equities | Technology    
Intangible Assets    
Finite-lived intangible assets, gross 56.0 55.5
North American Equities | Trademarks and trade names    
Intangible Assets    
Finite-lived intangible assets, gross 8.1 8.1
North American Equities | Trading registrations and licenses    
Intangible Assets    
Indefinite-lived intangible assets, gross 604.4 603.4
North American Equities | Digital assets held    
Intangible Assets    
Indefinite-lived intangible assets, gross 0.8 1.2
Europe and Asia Pacific    
Intangible Assets    
Accumulated amortization (204.8) (184.4)
Intangible assets, net 320.6 326.7
Europe and Asia Pacific | Customer relationships    
Intangible Assets    
Finite-lived intangible assets, gross 203.8 209.2
Europe and Asia Pacific | Market data customer relationships    
Intangible Assets    
Finite-lived intangible assets, gross 64.9 60.8
Europe and Asia Pacific | Technology    
Intangible Assets    
Finite-lived intangible assets, gross 35.6 33.6
Europe and Asia Pacific | Trademarks and trade names    
Intangible Assets    
Finite-lived intangible assets, gross 2.5 2.3
Europe and Asia Pacific | Trading registrations and licenses    
Intangible Assets    
Indefinite-lived intangible assets, gross 218.6 205.2
Europe and Asia Pacific | Digital assets held    
Intangible Assets    
Indefinite-lived intangible assets, gross 0.0 0.0
Global FX    
Intangible Assets    
Accumulated amortization (191.2) (183.9)
Intangible assets, net 36.9 44.2
Global FX | Customer relationships    
Intangible Assets    
Finite-lived intangible assets, gross 140.0 140.0
Global FX | Market data customer relationships    
Intangible Assets    
Finite-lived intangible assets, gross 64.4 64.4
Global FX | Technology    
Intangible Assets    
Finite-lived intangible assets, gross 22.5 22.5
Global FX | Trademarks and trade names    
Intangible Assets    
Finite-lived intangible assets, gross 1.2 1.2
Global FX | Trading registrations and licenses    
Intangible Assets    
Indefinite-lived intangible assets, gross 0.0 0.0
Global FX | Digital assets held    
Intangible Assets    
Indefinite-lived intangible assets, gross $ 0.0 $ 0.0