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GOODWILL AND INTANGIBLE ASSETS, NET - Schedule of intangible assets by category (Details) - USD ($)
$ in Millions
9 Months Ended 12 Months Ended
Sep. 30, 2019
Dec. 31, 2018
Finite-Lived Intangible Assets    
Intangible assets, net $ 1,598.6 $ 1,720.2
Customer relationships | Weighted Average    
Finite-Lived Intangible Assets    
Amortization period (in years) 17 years 18 years
Market data customer relationships | Weighted Average    
Finite-Lived Intangible Assets    
Amortization period (in years) 12 years 13 years
Technology | Weighted Average    
Finite-Lived Intangible Assets    
Amortization period (in years) 4 years 5 years
Trademarks and tradenames | Weighted Average    
Finite-Lived Intangible Assets    
Amortization period (in years) 6 years 2 years
Options    
Finite-Lived Intangible Assets    
Accumulated amortization $ (44.1) $ (32.5)
Intangible assets, net 170.3 181.9
Options | Customer relationships    
Finite-Lived Intangible Assets    
Finite-lived intangible assets, gross 38.8 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 24.8 24.8
Options | Trademarks and tradenames    
Finite-Lived Intangible Assets    
Finite-lived intangible assets, gross 1.7 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 (208.0) (155.8)
Intangible assets, net 938.1 990.3
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 (66.6) (49.4)
Intangible assets, net 345.0 376.9
European Equities | Customer relationships    
Finite-Lived Intangible Assets    
Finite-lived intangible assets, gross 158.2 163.9
European Equities | Market data customer relationships    
Finite-Lived Intangible Assets    
Finite-lived intangible assets, gross 59.4 61.5
European Equities | Technology    
Finite-Lived Intangible Assets    
Finite-lived intangible assets, gross 22.3 23.1
European Equities | Trademarks and tradenames    
Finite-Lived Intangible Assets    
Finite-lived intangible assets, gross 1.8 1.8
European Equities | Trading registrations and licenses    
Finite-Lived Intangible Assets    
Indefinite-lived intangible assets, gross 169.9 176.0
Global FX    
Finite-Lived Intangible Assets    
Accumulated amortization (82.9) (61.2)
Intangible assets, net 145.2 166.9
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
Corporate and Other    
Finite-Lived Intangible Assets    
Accumulated amortization   (3.8)
Intangible assets, net   4.2
Corporate and Other | Customer relationships    
Finite-Lived Intangible Assets    
Finite-lived intangible assets, gross   3.0
Corporate and Other | Technology    
Finite-Lived Intangible Assets    
Finite-lived intangible assets, gross   4.0
Corporate and Other | Trademarks and tradenames    
Finite-Lived Intangible Assets    
Finite-lived intangible assets, gross   $ 1.0