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FAIR VALUE MEASUREMENT - Fair value hierarchy for assets and liabilities (Details) - USD ($)
$ in Millions
Mar. 31, 2024
Dec. 31, 2023
Assets:    
Total assets $ 152.2 $ 108.9
Digital assets - safeguarded assets 93.3 51.3
Liabilities:    
Contingent consideration liabilities 8.8 11.8
Digital assets - safeguarded liabilities 93.3 51.3
Cboe Digital restricted common units liability 18.4 18.7
Cboe Digital warrant liability 5.8 5.9
Total liabilities 1,463.1 1,430.1
Level 1    
Assets:    
Total assets 58.9 57.6
Liabilities:    
Total liabilities 35.2 36.7
Level 2    
Assets:    
Total assets 93.3 51.3
Digital assets - safeguarded assets 93.3 51.3
Liabilities:    
Digital assets - safeguarded liabilities 93.3 51.3
Total liabilities 1,394.9 1,357.0
Level 3    
Liabilities:    
Contingent consideration liabilities 8.8 11.8
Cboe Digital restricted common units liability 18.4 18.7
Cboe Digital warrant liability 5.8 5.9
Total liabilities 33.0 36.4
Recurring    
Assets:    
Total assets 152.1 108.8
Digital assets - safeguarded assets 93.3 51.3
Liabilities:    
Contingent consideration liabilities 8.8 11.8
Digital assets - safeguarded liabilities 93.3 51.3
Cboe Digital restricted common units liability 18.4 18.7
Cboe Digital warrant liability 5.8 5.9
Total liabilities 126.3 87.7
Recurring | U.S. Treasury securities    
Assets:    
Total assets 23.6 20.8
Recurring | Marketable securities | Mutual funds    
Assets:    
Total assets 15.9 17.1
Recurring | Marketable securities | Money market funds    
Assets:    
Total assets 19.3 19.6
Recurring | Level 1    
Assets:    
Total assets 58.8 57.5
Recurring | Level 1 | U.S. Treasury securities    
Assets:    
Total assets 23.6 20.8
Recurring | Level 1 | Marketable securities | Mutual funds    
Assets:    
Total assets 15.9 17.1
Recurring | Level 1 | Marketable securities | Money market funds    
Assets:    
Total assets 19.3 19.6
Recurring | Level 2    
Assets:    
Total assets 93.3 51.3
Digital assets - safeguarded assets 93.3 51.3
Liabilities:    
Digital assets - safeguarded liabilities 93.3 51.3
Total liabilities 93.3 51.3
Recurring | Level 3    
Liabilities:    
Contingent consideration liabilities 8.8 11.8
Cboe Digital restricted common units liability 18.4 18.7
Cboe Digital warrant liability 5.8 5.9
Total liabilities $ 33.0 $ 36.4