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GOODWILL AND INTANGIBLE ASSETS, NET - Schedule of intangible assets by segment (Details) - USD ($)
$ in Millions
3 Months Ended
Mar. 31, 2020
Mar. 31, 2019
Finite-lived Intangible Assets    
Balance at beginning of the year $ 1,589.9  
Additions 20.3  
Amortization (32.5) $ (37.5)
Changes in foreign currency exchange rates (22.2)  
Balance at end of the year 1,555.5  
Options    
Finite-lived Intangible Assets    
Balance at beginning of the year 166.6  
Additions 20.3  
Amortization (3.9)  
Balance at end of the year 183.0  
U.S. Equities    
Finite-lived Intangible Assets    
Balance at beginning of the year 921.4  
Amortization (16.0)  
Balance at end of the year 905.4  
European Equities    
Finite-lived Intangible Assets    
Balance at beginning of the year 363.7  
Amortization (5.9)  
Changes in foreign currency exchange rates (22.2)  
Balance at end of the year 335.6  
Global FX    
Finite-lived Intangible Assets    
Balance at beginning of the year 138.2  
Amortization (6.7)  
Balance at end of the year 131.5  
Futures    
Finite-lived Intangible Assets    
Balance at end of the year $ 0.0