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GOODWILL AND INTANGIBLE ASSETS, NET - Schedule of intangible assets by category (Details) - USD ($)
$ in Millions
6 Months Ended 12 Months Ended
Jun. 30, 2020
Dec. 31, 2019
Finite-Lived Intangible Assets    
Intangible assets, net $ 1,526.2 $ 1,589.9
Customer relationships | Weighted Average    
Finite-Lived Intangible Assets    
Amortization period (in years) 17 years 17 years
Market data customer relationships | Weighted Average    
Finite-Lived Intangible Assets    
Amortization period (in years) 12 years 12 years
Technology | Weighted Average    
Finite-Lived Intangible Assets    
Amortization period (in years) 4 years 4 years
Trademarks and tradenames | Weighted Average    
Finite-Lived Intangible Assets    
Amortization period (in years) 9 years 6 years
Options    
Finite-Lived Intangible Assets    
Accumulated amortization $ (55.6) $ (47.8)
Intangible assets, net 181.1 166.6
Options | Customer relationships    
Finite-Lived Intangible Assets    
Finite-lived intangible assets, gross 46.6 38.8
Options | Market data customer relationships    
Finite-Lived Intangible Assets    
Finite-lived intangible assets, gross 53.6 53.6
Options | Technology    
Finite-Lived Intangible Assets    
Finite-lived intangible assets, gross 28.1 24.8
Options | Trademarks and tradenames    
Finite-Lived Intangible Assets    
Finite-lived intangible assets, gross 12.9 1.7
Options | Trading registrations and licenses    
Finite-Lived Intangible Assets    
Indefinite-lived intangible assets, gross 95.5 95.5
U.S. Equities    
Finite-Lived Intangible Assets    
Accumulated amortization (255.2) (224.7)
Intangible assets, net 890.9 921.4
U.S. Equities | Customer relationships    
Finite-Lived Intangible Assets    
Finite-lived intangible assets, gross 222.9 222.9
U.S. Equities | Market data customer relationships    
Finite-Lived Intangible Assets    
Finite-lived intangible assets, gross 322.0 322.0
U.S. Equities | Technology    
Finite-Lived Intangible Assets    
Finite-lived intangible assets, gross 22.5 22.5
U.S. Equities | Trademarks and tradenames    
Finite-Lived Intangible Assets    
Finite-lived intangible assets, gross 6.0 6.0
U.S. Equities | Trading registrations and licenses    
Finite-Lived Intangible Assets    
Indefinite-lived intangible assets, gross 572.7 572.7
European Equities    
Finite-Lived Intangible Assets    
Accumulated amortization (83.9) (77.6)
Intangible assets, net 328.8 363.7
European Equities | Customer relationships    
Finite-Lived Intangible Assets    
Finite-lived intangible assets, gross 158.7 169.7
European Equities | Market data customer relationships    
Finite-Lived Intangible Assets    
Finite-lived intangible assets, gross 59.5 63.6
European Equities | Technology    
Finite-Lived Intangible Assets    
Finite-lived intangible assets, gross 22.3 23.9
European Equities | Trademarks and tradenames    
Finite-Lived Intangible Assets    
Finite-lived intangible assets, gross 1.8 1.9
European Equities | Trading registrations and licenses    
Finite-Lived Intangible Assets    
Indefinite-lived intangible assets, gross 170.4 182.2
Global FX    
Finite-Lived Intangible Assets    
Accumulated amortization (102.7) (89.9)
Intangible assets, net 125.4 138.2
Global FX | Customer relationships    
Finite-Lived Intangible Assets    
Finite-lived intangible assets, gross 140.0 140.0
Global FX | Market data customer relationships    
Finite-Lived Intangible Assets    
Finite-lived intangible assets, gross 64.4 64.4
Global FX | Technology    
Finite-Lived Intangible Assets    
Finite-lived intangible assets, gross 22.5 22.5
Global FX | Trademarks and tradenames    
Finite-Lived Intangible Assets    
Finite-lived intangible assets, gross $ 1.2 $ 1.2