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GOODWILL, INTANGIBLE ASSETS, NET, AND DIGITAL ASSETS HELD - Goodwill by segment (Details) - USD ($) $ in Millions |  | 3 Months Ended | 12 Months Ended
--- | --- | --- | ---
May 02, 2022 | Sep. 30, 2022 | Jun. 30, 2022 | Dec. 31, 2023 | Dec. 31, 2022 | Dec. 31, 2021
Goodwill |  |  |  |  |  |
Balance at beginning of the period |  |  |  | $ 3,122.8 | $ 3,025.4 |
Adjustment |  |  |  |  | 4.4 |
Additions |  |  |  |  | 592.5 |
Impairment |  |  |  |  | (460.9) |
Changes in foreign currency exchange rates |  |  |  | 17.8 | (38.6) |
Balance at end of the period |  |  |  | 3,140.6 | 3,122.8 | $ 3,025.4
Deferred tax benefit |  |  |  | 15.2 | 155.7 | 18.9
Carrying value of investments |  |  |  | 345.3 | 253.2 |
Cboe Digital |  |  |  |  |  |
Goodwill |  |  |  |  |  |
Additions | $ 460.9 |  |  |  |  |
Impairment |  | $ (0.8) | $ (460.1) |  |  |
Balance at end of the period |  | $ 0.0 |  |  |  |
Deferred tax benefit |  |  | 116.2 |  |  |
Decrease in carrying value |  |  | 343.9 |  |  |
Carrying value of investments |  |  | 220.0 |  |  |
Intangible asset impairment |  |  | $ 0.0 |  |  |
Other long lived assets | $ 0.0 |  |  |  |  |
Options |  |  |  |  |  |
Goodwill |  |  |  |  |  |
Balance at beginning of the period |  |  |  | 305.8 | 305.8 |
Balance at end of the period |  |  |  | 305.8 | 305.8 | 305.8
North American Equities |  |  |  |  |  |
Goodwill |  |  |  |  |  |
Balance at beginning of the period |  |  |  | 2,000.8 | 1,876.9 |
Adjustment |  |  |  |  | 0.2 |
Additions |  |  |  |  | 132.4 |
Changes in foreign currency exchange rates |  |  |  | 3.6 | (8.7) |
Balance at end of the period |  |  |  | 2,004.4 | 2,000.8 | 1,876.9
Europe and Asia Pacific |  |  |  |  |  |
Goodwill |  |  |  |  |  |
Balance at beginning of the period |  |  |  | 549.0 | 575.5 |
Adjustment |  |  |  |  | 3.4 |
Changes in foreign currency exchange rates |  |  |  | 14.2 | (29.9) |
Balance at end of the period |  |  |  | 563.2 | 549.0 | 575.5
Global FX |  |  |  |  |  |
Goodwill |  |  |  |  |  |
Balance at beginning of the period |  |  |  | 267.2 | 267.2 |
Balance at end of the period |  |  |  | 267.2 | 267.2 | $ 267.2
Digital |  |  |  |  |  |
Goodwill |  |  |  |  |  |
Adjustment |  |  |  |  | 0.8 |
Additions |  |  |  |  | 460.1 |
Impairment |  |  |  |  | $ (460.9) |
Futures |  |  |  |  |  |
Goodwill |  |  |  |  |  |
Balance at end of the period |  |  |  | $ 0.0 |  |

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