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GOODWILL, INTANGIBLE ASSETS, NET, AND DIGITAL ASSETS HELD - Intangible assets by category (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2022
Dec. 31, 2021
Dec. 31, 2020
Intangible Assets      
Intangible assets, net $ 1,662.8 $ 1,668.6 $ 1,729.0
Customer relationships | Weighted Average      
Intangible Assets      
Amortization period (in years) 16 years 17 years  
Market data customer relationships | Weighted Average      
Intangible Assets      
Amortization period (in years) 9 years 10 years  
Technology | Weighted Average      
Intangible Assets      
Amortization period (in years) 8 years 5 years  
Trademarks and tradenames | Weighted Average      
Intangible Assets      
Amortization period (in years) 7 years 8 years  
Options      
Intangible Assets      
Accumulated amortization $ (90.6) $ (77.6)  
Intangible assets, net 146.1 159.1 173.4
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 tradenames      
Intangible Assets      
Finite-lived intangible assets, gross 12.9 12.9  
Options | Licensing Agreements      
Intangible Assets      
Indefinite-lived intangible assets, gross 95.5 95.5  
North American Equities      
Intangible Assets      
Accumulated amortization (411.9) (349.8)  
Intangible assets, net 992.8 991.4 1,055.5
North American Equities | Customer relationships      
Intangible Assets      
Finite-lived intangible assets, gross 412.8 378.3  
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 56.4 41.1  
North American Equities | Trademarks and tradenames      
Intangible Assets      
Finite-lived intangible assets, gross 8.2 7.8  
North American Equities | Licensing Agreements      
Intangible Assets      
Indefinite-lived intangible assets, gross 605.3 592.0  
Europe and Asia Pacific      
Intangible Assets      
Accumulated amortization (142.0) (130.3)  
Intangible assets, net 359.9 426.4 386.8
Europe and Asia Pacific | Customer relationships      
Intangible Assets      
Finite-lived intangible assets, gross 208.9 232.3  
Europe and Asia Pacific | Market data customer relationships      
Intangible Assets      
Finite-lived intangible assets, gross 58.4 65.2  
Europe and Asia Pacific | Technology      
Intangible Assets      
Finite-lived intangible assets, gross 32.8 35.6  
Europe and Asia Pacific | Trademarks and tradenames      
Intangible Assets      
Finite-lived intangible assets, gross 2.3 2.5  
Europe and Asia Pacific | Licensing Agreements      
Intangible Assets      
Indefinite-lived intangible assets, gross 199.5 221.1  
Global FX      
Intangible Assets      
Accumulated amortization (155.3) (136.4)  
Intangible assets, net 72.8 91.7 $ 113.3
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 (4.7)    
Intangible assets, net 91.2    
Digital | Technology      
Intangible Assets      
Finite-lived intangible assets, gross 70.0    
Digital | Licensing Agreements      
Intangible Assets      
Indefinite-lived intangible assets, gross 25.0    
Digital | Digital assets held      
Intangible Assets      
Indefinite-lived intangible assets, gross $ 0.9