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STOCK-BASED COMPENSATION - Cboe Digital Restricted Common Units And Cboe Digital Warrants (Details) - USD ($)
$ / shares in Units, $ in Millions
 3 Months Ended 12 Months Ended
Nov. 18, 2022
Mar. 31, 2024
Mar. 31, 2023
Dec. 31, 2023
Dec. 31, 2022
Stock-based Compensation          
Other income, net   $ 4.6 $ 0.1    
Cboe Digital Restricted Common Units          
Stock-based Compensation          
Interest rate (as a percent) 5.00%        
Adjustment to contra-revenue balance     0.1    
Contra-revenue recognized   0.6 $ 0.8    
Contra-revenue is expected to be recognized   10.4   $ 11.0 $ 14.0
Vesting period 5 years        
Risk-free interest rate, minimum       3.81%  
Risk-free interest rate, Maximum       3.90%  
Expected dividend rate       0.00%  
Other income, net   $ 0.3      
Number of shares          
Beginning balance (in shares)   185      
Granted (in shares) 185        
Ending balance of Outstanding and exercisable (in shares)   185   185  
Weighted average grant date fair value          
Beginning balance (in USD per share)   $ 0.3      
Ending balance of Outstanding and exercisable (in USD per share)   $ 0.3   $ 0.3  
Weighted average remaining contractual term of Outstanding and exercisable (in years)   5 years   5 years  
Cboe Digital Restricted Common Units | Minimum          
Stock-based Compensation          
Expected volatility       60.00%  
Expected term (in years)       3 years 10 months 24 days  
Cboe Digital Restricted Common Units | Maximum          
Stock-based Compensation          
Expected volatility       65.00%  
Expected term (in years)       5 years 10 months 24 days  
Cboe Digital Incentive Program Units          
Stock-based Compensation          
Other income, net   $ 0.3      
Term of incentive program   2 years      
Contra revenue recognized   $ 0.2      
Contra revenue included with other assets   $ 2.3   $ 2.5  
Cboe Digital Incentive Program Units | Maximum          
Stock-based Compensation          
Common units authorized   20      
Cboe Digital Warrant Units          
Stock-based Compensation          
Contra-revenue recognized   $ 0.3      
Contra-revenue is expected to be recognized   $ 4.3   $ 4.6  
Number of units called by warrants 80        
Warrants vested (in shares)   40      
Class of warrant or right exercised   0      
Vesting period 2 years        
Risk-free interest rate       3.89%  
Expected dividend rate       0.00%  
Expected volatility       65.00%  
Expected term (in years)       4 years  
Other income, net   $ 0.1      
Number of shares          
Beginning balance (in shares)   40      
Beginning balance of outstanding (in shares)   80      
Ending balance of Outstanding and exercisable (in shares)   40   40  
Ending balance of outstanding (in shares)   80   80  
Weighted average grant date fair value          
Beginning balance (in USD per share)   $ 0.2      
Ending balance of Outstanding and exercisable (in USD per share)   0.2   $ 0.2  
Beginning outstanding balance (in USD per share)   0.2      
Ending outstanding balance (in USD per share)   $ 0.2   $ 0.2