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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, 2021
Dec. 31, 2020
Intangible Assets    
Intangible assets, net $ 1,701.0 $ 1,729.0
Customer relationships | Weighted Average    
Intangible Assets    
Amortization period (in years) 17 years 16 years
Market data customer relationships | Weighted Average    
Intangible Assets    
Amortization period (in years) 11 years 11 years
Technology | Weighted Average    
Intangible Assets    
Amortization period (in years) 5 years 5 years
Trademarks and tradenames | Weighted Average    
Intangible Assets    
Amortization period (in years) 8 years 9 years
Options    
Intangible Assets    
Accumulated amortization $ (74.1) $ (63.3)
Intangible assets, net 162.6 173.4
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 | Trading registrations and licenses    
Intangible Assets    
Indefinite-lived intangible assets, gross 95.5 95.5
North American Equities    
Intangible Assets    
Accumulated amortization (334.1) (285.7)
Intangible assets, net 1,007.1 1,055.5
North American Equities | Customer relationships    
Intangible Assets    
Finite-lived intangible assets, gross 378.3 378.3
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 41.1 41.1
North American Equities | Trademarks and tradenames    
Intangible Assets    
Finite-lived intangible assets, gross 7.8 7.8
North American Equities | Trading registrations and licenses    
Intangible Assets    
Indefinite-lived intangible assets, gross 592.0 592.0
Europe and Asia Pacific    
Intangible Assets    
Accumulated amortization (122.7) (105.3)
Intangible assets, net 434.4 386.8
Europe and Asia Pacific | Customer relationships    
Intangible Assets    
Finite-lived intangible assets, gross 232.9 175.7
Europe and Asia Pacific | Market data customer relationships    
Intangible Assets    
Finite-lived intangible assets, gross 65.0 65.9
Europe and Asia Pacific | Technology    
Intangible Assets    
Finite-lived intangible assets, gross 35.6 28.6
Europe and Asia Pacific | Trademarks and tradenames    
Intangible Assets    
Finite-lived intangible assets, gross 2.5 2.6
Europe and Asia Pacific | Trading registrations and licenses    
Intangible Assets    
Indefinite-lived intangible assets, gross 221.1 219.3
Global FX    
Intangible Assets    
Accumulated amortization (131.2) (114.8)
Intangible assets, net 96.9 113.3
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