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GOODWILL, INTANGIBLE ASSETS, NET, AND DIGITAL ASSETS HELD - Intangible assets by category (Details) - USD ($)
$ in Millions
9 Months Ended 12 Months Ended
Sep. 30, 2022
Dec. 31, 2021
Intangible Assets    
Intangible assets, net $ 1,666.1 $ 1,668.6
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) 10 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 $ (87.4) $ (77.6)
Intangible assets, net 149.3 159.1
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 | Licensing Agreements    
Intangible Assets    
Indefinite-lived intangible assets, gross 95.5 95.5
North American Equities    
Intangible Assets    
Accumulated amortization (394.2) (349.8)
Intangible assets, net 1,009.0 991.4
North American Equities | Customer relationships    
Intangible Assets    
Finite-lived intangible assets, gross 412.0 378.3
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 56.2 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 604.8 592.0
Europe and Asia Pacific    
Intangible Assets    
Accumulated amortization (125.2) (130.3)
Intangible assets, net 337.5 426.4
Europe and Asia Pacific | Customer relationships    
Intangible Assets    
Finite-lived intangible assets, gross 192.7 232.3
Europe and Asia Pacific | Market data customer relationships    
Intangible Assets    
Finite-lived intangible assets, gross 53.7 65.2
Europe and Asia Pacific | Technology    
Intangible Assets    
Finite-lived intangible assets, gross 30.8 35.6
Europe and Asia Pacific | Trademarks and tradenames    
Intangible Assets    
Finite-lived intangible assets, gross 2.1 2.5
Europe and Asia Pacific | Licensing Agreements    
Intangible Assets    
Indefinite-lived intangible assets, gross 183.4 221.1
Global FX    
Intangible Assets    
Accumulated amortization (150.7) (136.4)
Intangible assets, net 77.4 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 (3.0)  
Intangible assets, net 92.9  
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