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STOCK-BASED COMPENSATION - Cboe Digital Restricted Common Units And Cboe Digital Warrants (Details) - USD ($) $ in Millions		3 Months Ended			6 Months Ended		12 Months Ended
	Nov. 18, 2022	Jun. 30, 2024	Mar. 31, 2024	Jun. 30, 2023	Jun. 30, 2024	Jun. 30, 2023	Dec. 31, 2023
Stock-based Compensation
Other (expense) income, net		$ (13.1)		$ 1.6	$ (8.5)	$ 1.7
Cboe Digital Restricted Common Units
Stock-based Compensation
Risk-free interest rate, minimum							3.81%
Risk-free interest rate, Maximum							3.90%
Term of incentive program					2 years
Contra revenue reversed					$ 2.4
Number of shares
Beginning balance (in shares)		185
Ending balance of Outstanding and exercisable (in shares)			185
Weighted average grant date fair value
Share-Based Payment Arrangement, Cash Used to Settle Award					$ 3.3
Cboe Digital Restricted Common Units | Minimum
Stock-based Compensation
Expected volatility							60.00%
Cboe Digital Restricted Common Units | Maximum
Stock-based Compensation
Expected term (in years)							5 years 10 months 24 days
Common units authorized		20			20
Cboe Digital Restricted Common Units
Stock-based Compensation
Interest rate (as a percent)	5.00%
Vesting period	5 years
Expected dividend rate							0.00%
Other (expense) income, net		$ (0.3)
Contra revenue recognized		1.4
Number of shares
Granted (in shares)	185
Weighted average grant date fair value
Weighted average exercise price at fair value			$ 0.3
Weighted average remaining contractual term of Outstanding and exercisable (in years)			5 years
Share-Based Payment Arrangement, Cash Used to Settle Award		$ 2.3
Cboe Digital Restricted Common Units | Minimum
Stock-based Compensation
Expected term (in years)							3 years 10 months 24 days
Cboe Digital Restricted Common Units | Maximum
Stock-based Compensation
Expected volatility							65.00%
Cboe Digital Warrant Units
Stock-based Compensation
Number of units called by warrants	80
Warrants vested (in shares)			40
Class of warrant or right exercised			0
Vesting period	2 years
Risk-free interest rate							3.89%
Expected dividend rate							0.00%
Expected volatility							65.00%
Expected term (in years)							4 years
Other (expense) income, net					$ 1.3
Weighted average grant date fair value
Weighted average exercise price at fair value			$ 0.2
Share-Based Payment Arrangement, Cash Used to Settle Award					$ 0.4

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