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FAIR VALUE MEASUREMENT - Fair value hierarchy of financial instruments held (Details) - USD ($)
$ in Millions
Jun. 30, 2024
Dec. 31, 2023
Assets:    
U.S. Treasury securities $ 47.1 $ 20.8
Deferred compensation plan assets 36.6 36.7
Digital assets - safeguarded assets 6.9 51.3
Note receivable - building sale 6.4  
Digital assets held   0.1
Total assets 97.0 108.9
Liabilities:    
Contingent consideration liabilities 1.8 11.8
Deferred compensation plan liabilities 36.6 36.7
Digital assets - safeguarded liabilities 6.9 51.3
Cboe Digital restricted common units liability   18.7
Cboe Digital warrant liability   5.9
Debt 1,294.1 1,305.7
Total liabilities 1,339.4 1,430.1
Level 1    
Assets:    
U.S. Treasury securities 47.1 20.8
Deferred compensation plan assets 36.6 36.7
Digital assets held   0.1
Total assets 83.7 57.6
Liabilities:    
Deferred compensation plan liabilities 36.6 36.7
Total liabilities 36.6 36.7
Level 2    
Assets:    
Digital assets - safeguarded assets 6.9 51.3
Total assets 6.9 51.3
Liabilities:    
Digital assets - safeguarded liabilities 6.9 51.3
Debt 1,294.1 1,305.7
Total liabilities 1,301.0 1,357.0
Level 3    
Assets:    
Note receivable - building sale 6.4  
Total assets 6.4  
Liabilities:    
Contingent consideration liabilities 1.8 11.8
Cboe Digital restricted common units liability   18.7
Cboe Digital warrant liability   5.9
Total liabilities $ 1.8 $ 36.4