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FAIR VALUE MEASUREMENT - Fair value hierarchy of financial instruments held (Details) - USD ($)
$ in Millions
Sep. 30, 2023
Dec. 31, 2022
Assets:    
U.S. Treasury securities $ 0.5 $ 64.2
Deferred compensation plan assets 33.5 27.5
Digital assets - safeguarded assets 40.2 22.9
Digital assets held 0.1 0.9
Total assets 74.3 115.5
Liabilities:    
Contingent consideration liabilities 28.2 39.1
Deferred compensation plan liabilities 33.5 27.5
Digital assets - safeguarded liabilities 40.2 22.9
Cboe Digital restricted common units liability 18.7 15.5
Cboe Digital warrant liability 5.9 5.9
Debt 1,311.5 1,573.9
Total liabilities 1,438.0 1,684.8
Level 1    
Assets:    
U.S. Treasury securities 0.5 64.2
Deferred compensation plan assets 33.5 27.5
Digital assets - safeguarded assets 40.2 22.9
Digital assets held 0.1 0.9
Total assets 74.3 115.5
Liabilities:    
Deferred compensation plan liabilities 33.5 27.5
Digital assets - safeguarded liabilities 40.2 22.9
Total liabilities 73.7 50.4
Level 2    
Liabilities:    
Debt 1,311.5 1,573.9
Total liabilities 1,311.5 1,573.9
Level 3    
Liabilities:    
Contingent consideration liabilities 28.2 39.1
Cboe Digital restricted common units liability 18.7 15.5
Cboe Digital warrant liability 5.9 5.9
Total liabilities $ 52.8 $ 60.5