STOCK-BASED COMPENSATION - Narrative (Details) - USD ($)		1 Months Ended		3 Months Ended				9 Months Ended		12 Months Ended
	Nov. 18, 2022	Feb. 29, 2024	May 31, 2018	Sep. 30, 2024	Jun. 30, 2024	Mar. 31, 2024	Sep. 30, 2023	Sep. 30, 2024	Sep. 30, 2023	Dec. 31, 2023
Number of Shares
Payments for the purchase of shares to satisfy the employee income tax withholdings								$ 28,100,000	$ 13,800,000
Other income (expense), net				$ 2,000,000.0			$ 500,000	(6,500,000)	2,200,000
Employee
Number of Shares
Stock-based compensation expense				9,600,000			1,500,000	30,900,000	28,400,000
Nonemployee
Number of Shares
Stock-based compensation expense				$ 500,000			500,000	$ 1,200,000	1,400,000
Cboe Digital Restricted Common Units
Number of Shares
Class of warrant or right outstanding (in shares)				0				0
Vesting period (in years)	5 years
Restricted common units granted (in shares)	185
Interest rate (as a percent)	5.00%
Weighted average exercise price at fair value						$ 300,000
Weighted average remaining contractual term of Outstanding and exercisable (in years)						5 years
Cash paid to settle award				$ 2,300,000
Expected dividend rate (in percent)						0.00%
Other income (expense), net				(300,000)
Contra revenue recognized				$ 1,400,000
Cboe Digital Warrant Units
Number of Shares
Class of warrant or right outstanding (in shares)				0				0
Vesting period (in years)	2 years
Risk-free interest rate (in percent)										3.89%
Expected volatility (in percent)										65.00%
Weighted average exercise price at fair value						$ 200,000
Cash paid to settle award								$ 400,000
Expected dividend rate (in percent)										0.00%
Expected term (in years)										4 years
Other income (expense), net								1,300,000
Number of units called by warrants	80
Warrants vested (in shares)						40
Class of warrant or right exercised (in shares)						0
Employee Stock [Member]
Number of Shares
Stock-based compensation expense				$ 1,100,000			$ 900,000	$ 2,400,000	$ 1,800,000
Maximum percentage of annual salary that an employee is permitted to utilize to purchase stock			10.00%
Maximum number of shares that a participant can purchase during any single offering period			312
Maximum fair market value of stock an employee can purchase under the plan per calendar year			$ 25,000
Exercise price per share of common stock as a percent of fair market value			85.00%
Shares reserved for future issuance				491,793				491,793
Number of shares of common stock made available for purchase to employees			750,000
Minimum | Cboe Digital Restricted Common Units
Number of Shares
Expected term (in years)						3 years 10 months 24 days
Maximum | Cboe Digital Restricted Common Units
Number of Shares
Expected volatility (in percent)						65.00%
RSUs
Number of Shares
Non vested RSAs (in shares)				545,015				545,015		638,181
Number of shares of common stock of which unit is convertible (in shares)				1				1
Vesting period (in years)								3 years
Qualified retirement eligibility age for grants awarded between 2017 and 2023								55 years
Qualified retirement eligibility number of years of service for grants awarded between 2017 and 2023								10 years
Qualified retirement eligibility age for grants awarded in or after 2024								55 years
Qualified retirement eligibility number of years of service for grants awarded in or after 2024								10 years
Period of advance notice required in or after 2024 (in months)								6 months
Shares purchased to satisfy the employee income tax withholdings (in shares)								103,466
Payments for the purchase of shares to satisfy the employee income tax withholdings								$ 19,400,000
Shares vested, prompting share repurchases to cover employees' tax obligations								281,684
Vested (in shares)								282,038
Restricted common units granted (in shares)								224,772
RSUs | Nonemployee
Number of Shares
Vesting period (in years)								1 year
PSUs
Number of Shares
Number of shares of common stock of which unit is convertible (in shares)				1				1
Vesting period (in years)								3 years
Shares purchased to satisfy the employee income tax withholdings (in shares)								46,867
Payments for the purchase of shares to satisfy the employee income tax withholdings								$ 8,600,000
Risk-free interest rate (in percent)		4.41%
Volatility time period (in years)		2 years 10 months 9 days
Expected volatility (in percent)		21.56%
Correlation to S&P 500 index time period (in years)		2 years 10 months 9 days
Correlation with S&P 500 index		0.39
Vested (in shares)								110,376
Unrecognized compensation expense				$ 62,500,000				$ 62,500,000
Unrecognized compensation expense, period for recognition								1 year 10 months 24 days
PSUs | Minimum
Number of Shares
Units ultimately expected to be awarded (in percent)								0.00%
PSUs | Maximum
Number of Shares
Units ultimately expected to be awarded (in percent)								200.00%
Cboe Digital Restricted Common Units
Number of Shares
Non vested RSAs (in shares)						185
Cash paid to settle award								$ 3,300,000
Contra revenue reversed					$ 2,400,000
Risk-free interest rate, minimum						3.81%
Risk-free interest rate, Maximum						3.90%
Term of incentive program (in years)								2 years
Cboe Digital Restricted Common Units | Minimum
Number of Shares
Expected volatility (in percent)						60.00%
Cboe Digital Restricted Common Units | Maximum
Number of Shares
Expected term (in years)						5 years 10 months 24 days
Number of shares of common stock made available for purchase to employees				20				20