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INVESTMENTS - Schedule of investments and Other Equity Investments (Details) - USD ($)
$ in Millions
 3 Months Ended 12 Months Ended
Dec. 31, 2023
Jun. 30, 2023
Dec. 31, 2022
Sep. 30, 2022
Jun. 30, 2022
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Schedule of Cost and Equity Method Investments                
Total equity method investments $ 292.0   $ 215.4     $ 292.0 $ 215.4  
Total other equity investments 53.3   37.8     53.3 37.8  
Total investments 345.3   253.2     345.3 253.2  
Amount invested during the period           57.1 14.6 $ 209.8
7Ridge Fund                
Schedule of Cost and Equity Method Investments                
Total equity method investments 292.0   215.4     292.0 215.4  
Investment in Eris Innovations Holdings, LLC                
Schedule of Cost and Equity Method Investments                
Total other equity investments 20.0   20.0     20.0 20.0  
Investment in Globacap Technology Limited                
Schedule of Cost and Equity Method Investments                
Total other equity investments 16.0         16.0    
Investment in CSD Br                
Schedule of Cost and Equity Method Investments                
Total other equity investments 5.9   5.9     5.9 5.9  
Amount invested during the period         $ 5.9      
Investment in Coin Metrics Inc.                
Schedule of Cost and Equity Method Investments                
Total other equity investments 5.0   5.0     5.0 5.0  
Amount invested during the period         $ 5.0      
Investment in Cboe Vest Financial Group, Inc.                
Schedule of Cost and Equity Method Investments                
Total other equity investments 2.9   2.9     2.9 2.9  
Investment in Effective Investing Limited                
Schedule of Cost and Equity Method Investments                
Total other equity investments     1.8       1.8  
Amount invested during the period       $ 1.8        
Investment in OCC                
Schedule of Cost and Equity Method Investments                
Total other equity investments 0.3   0.3     0.3 0.3  
Globacap Technology Limited                
Schedule of Cost and Equity Method Investments                
Amount invested during the period   $ 16.0            
Osaka Digital Exchange                
Schedule of Cost and Equity Method Investments                
Amount invested during the period 1.3              
Other equity investments                
Schedule of Cost and Equity Method Investments                
Total other equity investments $ 3.2   1.9     $ 3.2 $ 1.9  
StratiFi Technologies                
Schedule of Cost and Equity Method Investments                
Amount invested during the period     $ 0.1