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FAIR VALUE MEASUREMENT - Fair value hierarchy for assets and liabilities (Details) - USD ($)
$ in Millions
Mar. 31, 2023
Dec. 31, 2022
Jun. 30, 2022
Assets:      
Total assets $ 122.3 $ 115.5  
Digital assets - safeguarded assets 42.0 22.9 $ 22.4
Liabilities:      
Contingent consideration liabilities 34.2 39.1  
Digital assets - safeguarded liabilities 42.0 22.9 $ 22.4
Cboe Digital restricted common units liability 15.6 15.5  
Cboe Digital warrant liability 5.9 5.9  
Total liabilities 1,724.1 1,684.8  
Level 1      
Assets:      
Total assets 122.3 115.5  
Digital assets - safeguarded assets 42.0 22.9  
Liabilities:      
Digital assets - safeguarded liabilities 42.0 22.9  
Total liabilities 72.7 50.4  
Level 2      
Liabilities:      
Total liabilities 1,595.7 1,573.9  
Level 3      
Liabilities:      
Contingent consideration liabilities 34.2 39.1  
Cboe Digital restricted common units liability 15.6 15.5  
Cboe Digital warrant liability 5.9 5.9  
Total liabilities 55.7 60.5  
Recurring      
Assets:      
Total assets 122.2 114.6  
Digital assets - safeguarded assets 42.0 22.9  
Liabilities:      
Contingent consideration liabilities 34.2 39.1  
Digital assets - safeguarded liabilities 42.0 22.9  
Cboe Digital restricted common units liability 15.6 15.5  
Cboe Digital warrant liability 5.9 5.9  
Total liabilities 97.7 83.4  
Recurring | U.S. Treasury securities      
Assets:      
Total assets 49.5 64.2  
Recurring | Marketable securities | Mutual funds      
Assets:      
Total assets 14.2 15.3  
Recurring | Marketable securities | Money market funds      
Assets:      
Total assets 16.5 12.2  
Recurring | Level 1      
Assets:      
Total assets 122.2 114.6  
Digital assets - safeguarded assets 42.0 22.9  
Liabilities:      
Digital assets - safeguarded liabilities 42.0 22.9  
Total liabilities 42.0 22.9  
Recurring | Level 1 | U.S. Treasury securities      
Assets:      
Total assets 49.5 64.2  
Recurring | Level 1 | Marketable securities | Mutual funds      
Assets:      
Total assets 14.2 15.3  
Recurring | Level 1 | Marketable securities | Money market funds      
Assets:      
Total assets 16.5 12.2  
Recurring | Level 3      
Liabilities:      
Contingent consideration liabilities 34.2 39.1  
Cboe Digital restricted common units liability 15.6 15.5  
Cboe Digital warrant liability 5.9 5.9  
Total liabilities $ 55.7 $ 60.5