FAIR VALUE MEASUREMENT - Narrative (Details) - USD ($) $ in Millions	1 Months Ended			3 Months Ended	9 Months Ended
	Aug. 31, 2024	Jun. 30, 2024	May 31, 2024	Sep. 30, 2024	Sep. 30, 2024	Sep. 30, 2023	Dec. 31, 2023
Segment Reporting Information
Contingent consideration liabilities							$ 11.8
Gain (loss) on settlement of contingent consideration					$ (2.0)	$ 0.0
Cboe Canada
Segment Reporting Information
Contingent consideration liabilities				$ 0.0	0.0
Gain (loss) on settlement of contingent consideration	$ 1.0
Cboe Asia Pacific and Cboe Canada
Segment Reporting Information
Payment of contingent consideration				$ 0.9	13.9
Gain (loss) on settlement of contingent consideration					$ (2.0)
Cboe Japan
Segment Reporting Information
Payment of contingent consideration			$ 5.7
Cboe Asia Pacific
Segment Reporting Information
Gain (loss) on settlement of contingent consideration		$ 2.7