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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 |  |

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- Definition The estimated dividend rate (a percentage of the share price) to be paid (expected dividends) to holders of the underlying shares over the option's term. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (f)(2)(iii) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-2 + Details
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- Definition The risk-free interest rate assumption that is used in valuing an option on its own shares. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (f)(2)(iv) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-2 + Details
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