FAIR VALUE MEASUREMENT - Changes in fair value of Level 3 financial liabilities (Details) - USD ($) $ in Millions	12 Months Ended
Dec. 31, 2023	Dec. 31, 2022
Changes in fair value of level 3 financial liabilities
Balance at Beginning of Period	$ 60.5	$ 70.5
Realized (Gains) Losses during period		(5.2)
Adjustments		(44.3)
Additions		79.1
Settlements		(38.7)
Foreign Currency Translation		(0.9)
Balance at End of Period		60.5
Contingent consideration liabilities
Changes in fair value of level 3 financial liabilities
Balance at Beginning of Period	39.1	70.5
Realized (Gains) Losses during period		(5.2)
Adjustments		(44.3)
Additions		57.7
Settlements		(38.7)
Foreign Currency Translation		(0.9)
Balance at End of Period		39.1
Cboe Digital restricted common units liability
Changes in fair value of level 3 financial liabilities
Balance at Beginning of Period	15.5
Additions		15.5
Balance at End of Period		15.5
Cboe Digital warrant liability
Changes in fair value of level 3 financial liabilities
Balance at Beginning of Period	5.9
Additions		5.9
Balance at End of Period		$ 5.9
Level 3
Changes in fair value of level 3 financial liabilities
Balance at Beginning of Period	60.5
Realized (Gains) Losses during period	$ (14.4)
Fair Value, Liability, Recurring Basis, Unobservable Input Reconciliation, Gain (Loss), Statement of Income or Comprehensive Income [Extensible Enumeration]	Business Combination, Contingent Consideration, Liability, Noncurrent	Business Combination, Contingent Consideration, Liability, Noncurrent
Adjustments	$ 0.1
Additions	3.1
Settlements	(13.1)
Foreign Currency Translation	0.2
Balance at End of Period	36.4	$ 60.5
Level 3 \| Contingent consideration liabilities
Changes in fair value of level 3 financial liabilities
Balance at Beginning of Period	39.1
Realized (Gains) Losses during period	(14.4)
Settlements	(13.1)
Foreign Currency Translation	0.2
Balance at End of Period	11.8	39.1
Level 3 \| Cboe Digital restricted common units liability
Changes in fair value of level 3 financial liabilities
Balance at Beginning of Period	15.5
Adjustments	0.1
Additions	3.1
Balance at End of Period	18.7	15.5
Level 3 \| Cboe Digital warrant liability
Changes in fair value of level 3 financial liabilities
Balance at Beginning of Period	5.9
Balance at End of Period	$ 5.9	$ 5.9

Amount of adjustment in liability measured at fair value on recurring basis using unobservable input (level 3).

No definition available.

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- Definition

Amount of foreign currency translation gain (loss) recognized in income from liability measured at fair value on recurring basis using unobservable input (level 3).

+ References

No definition available.

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- Definition

A roll forward is a reconciliation of a concept from the beginning of a period to the end of a period.

+ References

No definition available.

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- Definition

Amount of gain (loss) recognized in income from liability measured at fair value on recurring basis using unobservable input (level 3).

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 820
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-Subparagraph (c)(1)
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147482106/820-10-50-2

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- Definition

Amount of purchases of financial instrument classified as a liability measured using unobservable inputs that reflect the entity's own assumption about the assumptions market participants would use in pricing.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Topic 820
-SubTopic 10
-Section 50
-Paragraph 2
-Subparagraph (c)(2)
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147482106/820-10-50-2

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- Definition

Amount of settlements of financial instrument classified as a liability measured using unobservable inputs that reflect the entity's own assumption about the assumptions market participants would use in pricing.

+ References

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- Definition

Fair value of financial instrument classified as a liability measured using unobservable inputs that reflect the entity's own assumption about the assumptions market participants would use in pricing.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-Subparagraph (c)
-SubTopic 10
-Topic 820
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147482106/820-10-50-2

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- Definition

Indicates line item in statement in which net income is reported that includes gain (loss) from liability measured at fair value using unobservable input (level 3).

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