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GOODWILL, INTANGIBLE ASSETS, NET, AND DIGITAL ASSETS HELD - Intangible assets by segment (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2022
Dec. 31, 2021
Dec. 31, 2020
Intangible Assets      
Balance at beginning of the period $ 1,668.6 $ 1,729.0  
Adjustments (61.0)    
Additions 226.0 73.8  
Amortization (124.3) (126.6) $ (124.8)
Changes in foreign currency exchange rates (46.5) (7.6)  
Balance at end of the period 1,662.8 1,668.6 1,729.0
Options      
Intangible Assets      
Balance at beginning of the period 159.1 173.4  
Amortization (13.0) (14.3)  
Balance at end of the period 146.1 159.1 173.4
North American Equities      
Intangible Assets      
Balance at beginning of the period 991.4 1,055.5  
Adjustments (61.0)    
Additions 130.1    
Amortization (62.1) (64.4)  
Changes in foreign currency exchange rates (5.6) 0.3  
Balance at end of the period 992.8 991.4 1,055.5
Europe and Asia Pacific      
Intangible Assets      
Balance at beginning of the period 426.4 386.8  
Additions   73.8  
Amortization (25.6) (26.3)  
Changes in foreign currency exchange rates (40.9) (7.9)  
Balance at end of the period 359.9 426.4 386.8
Global FX      
Intangible Assets      
Balance at beginning of the period 91.7 113.3  
Amortization (18.9) (21.6)  
Balance at end of the period 72.8 $ 91.7 $ 113.3
Digital      
Intangible Assets      
Additions 95.9    
Amortization (4.7)    
Balance at end of the period $ 91.2