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GOODWILL, INTANGIBLE ASSETS, NET, AND DIGITAL ASSETS HELD - Intangible assets by segment (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2022
Sep. 30, 2021
Intangible Assets        
Balance at beginning of the period     $ 1,668.6  
Additions     226.0  
Amortization $ (30.6) $ (31.8) (91.0) $ (95.3)
Changes in foreign currency exchange rates     (76.5)  
Balance at end of the period 1,666.1   1,666.1  
Options        
Intangible Assets        
Balance at beginning of the period     159.1  
Amortization     (9.8)  
Balance at end of the period 149.3   149.3  
North American Equities        
Intangible Assets        
Balance at beginning of the period     991.4  
Additions     130.1  
Amortization     (44.6)  
Changes in foreign currency exchange rates     (6.9)  
Balance at end of the period 1,009.0   1,009.0  
Europe and Asia Pacific        
Intangible Assets        
Balance at beginning of the period     426.4  
Amortization     (19.3)  
Changes in foreign currency exchange rates     (69.6)  
Balance at end of the period 337.5   337.5  
Global FX        
Intangible Assets        
Balance at beginning of the period     91.7  
Amortization     (14.3)  
Balance at end of the period 77.4   77.4  
Digital        
Intangible Assets        
Additions     95.9  
Amortization     (3.0)  
Balance at end of the period $ 92.9   $ 92.9