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GOODWILL, INTANGIBLE ASSETS, NET, AND DIGITAL ASSETS HELD - Intangible assets by category (Details) - USD ($)
$ in Millions
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Intangible Assets      
Intangible assets, net $ 1,561.5 $ 1,662.8 $ 1,668.6
Customer relationships | Weighted Average      
Intangible Assets      
Amortization period (in years) 15 years 16 years  
Market data customer relationships | Weighted Average      
Intangible Assets      
Amortization period (in years) 8 years 9 years  
Technology | Weighted Average      
Intangible Assets      
Amortization period (in years) 7 years 8 years  
Trademarks and tradenames | Weighted Average      
Intangible Assets      
Amortization period (in years) 6 years 7 years  
Options      
Intangible Assets      
Accumulated amortization $ (102.6) $ (90.6)  
Intangible assets, net 134.1 146.1 159.1
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 tradenames      
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  
North American Equities      
Intangible Assets      
Accumulated amortization (471.7) (411.9)  
Intangible assets, net 935.3 992.8 991.4
North American Equities | Customer relationships      
Intangible Assets      
Finite-lived intangible assets, gross 413.9 412.8  
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 56.9 56.4  
North American Equities | Trademarks and tradenames      
Intangible Assets      
Finite-lived intangible assets, gross 8.2 8.2  
North American Equities | Trading registrations and licenses      
Intangible Assets      
Indefinite-lived intangible assets, gross 606.0 605.3  
Europe and Asia Pacific      
Intangible Assets      
Accumulated amortization (171.4) (142.0)  
Intangible assets, net 352.5 359.9 426.4
Europe and Asia Pacific | Customer relationships      
Intangible Assets      
Finite-lived intangible assets, gross 216.1 208.9  
Europe and Asia Pacific | Market data customer relationships      
Intangible Assets      
Finite-lived intangible assets, gross 61.6 58.4  
Europe and Asia Pacific | Technology      
Intangible Assets      
Finite-lived intangible assets, gross 34.2 32.8  
Europe and Asia Pacific | Trademarks and tradenames      
Intangible Assets      
Finite-lived intangible assets, gross 2.4 2.3  
Europe and Asia Pacific | Trading registrations and licenses      
Intangible Assets      
Indefinite-lived intangible assets, gross 209.6 199.5  
Global FX      
Intangible Assets      
Accumulated amortization (171.9) (155.3)  
Intangible assets, net 56.2 72.8 $ 91.7
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 tradenames      
Intangible Assets      
Finite-lived intangible assets, gross 1.2 1.2  
Digital      
Intangible Assets      
Accumulated amortization (11.7) (4.7)  
Intangible assets, net 83.4 91.2  
Digital | Technology      
Intangible Assets      
Finite-lived intangible assets, gross 70.0 70.0  
Digital | Trading registrations and licenses      
Intangible Assets      
Indefinite-lived intangible assets, gross 25.0 25.0  
Digital | Digital assets held      
Intangible Assets      
Indefinite-lived intangible assets, gross $ 0.1 $ 0.9