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GOODWILL, INTANGIBLE ASSETS, NET, AND DIGITAL ASSETS HELD - Intangible assets by category (Details) - USD ($)
$ in Millions
6 Months Ended 12 Months Ended
Jun. 30, 2022
Dec. 31, 2021
Intangible Assets    
Intangible assets, net $ 1,792.8 $ 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) 6 years 8 years
Options    
Intangible Assets    
Accumulated amortization $ (84.2) $ (77.6)
Intangible assets, net 152.5 159.1
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 (380.1) (349.8)
Intangible assets, net 1,090.9 991.4
North American Equities | Customer relationships    
Intangible Assets    
Finite-lived intangible assets, gross 471.0 378.3
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 52.7 41.1
North American Equities | Trademarks and tradenames    
Intangible Assets    
Finite-lived intangible assets, gross 10.1 7.8
North American Equities | Trading registrations and licenses    
Intangible Assets    
Indefinite-lived intangible assets, gross 615.2 592.0
Europe and Asia Pacific    
Intangible Assets    
Accumulated amortization (129.8) (130.3)
Intangible assets, net 372.8 426.4
Europe and Asia Pacific | Customer relationships    
Intangible Assets    
Finite-lived intangible assets, gross 209.3 232.3
Europe and Asia Pacific | Market data customer relationships    
Intangible Assets    
Finite-lived intangible assets, gross 58.6 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 | Trading registrations and licenses    
Intangible Assets    
Indefinite-lived intangible assets, gross 199.6 221.1
Global FX    
Intangible Assets    
Accumulated amortization (146.1) (136.4)
Intangible assets, net 82.0 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 (1.3)  
Intangible assets, net 94.6  
Digital | Technology    
Intangible Assets    
Finite-lived intangible assets, gross 70.0  
Digital | Trading registrations and licenses    
Intangible Assets    
Indefinite-lived intangible assets, gross 25.0  
Digital | Digital assets held    
Intangible Assets    
Indefinite-lived intangible assets, gross $ 0.9