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GOODWILL AND INTANGIBLE ASSETS, NET - Goodwill by segment (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2021
Dec. 31, 2020
Dec. 31, 2019
Goodwill      
Balance at beginning of the year $ 2,895.1 $ 2,682.1  
Adjustments (0.9)    
Additions 134.0 201.2  
Impairment     $ (10.5)
Changes in foreign currency exchange rates (2.8) 11.8  
Balance at end of the year 3,025.4 2,895.1 2,682.1
Options      
Goodwill      
Balance at beginning of the year 305.8 239.4  
Additions   66.4  
Balance at end of the year 305.8 305.8 239.4
North American Equities      
Goodwill      
Balance at beginning of the year 1,877.3 1,740.4  
Adjustments (0.5)    
Additions   134.8  
Changes in foreign currency exchange rates 0.1 2.1  
Balance at end of the year 1,876.9 1,877.3 1,740.4
Europe and Asia Pacific      
Goodwill      
Balance at beginning of the year 444.8 435.1  
Adjustments (0.4)    
Additions 134.0    
Changes in foreign currency exchange rates (2.9) 9.7  
Balance at end of the year 575.5 444.8 435.1
Global FX      
Goodwill      
Balance at beginning of the year 267.2 267.2  
Balance at end of the year 267.2 $ 267.2 $ 267.2
Futures      
Goodwill      
Balance at end of the year $ 0.0