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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, 2022 | Dec. 31, 2021 | Dec. 31, 2020
Goodwill |  |  |  |  |  |
Balance at beginning of the period |  |  |  | $ 3,025.4 | $ 2,895.1 |
Adjustment |  |  |  | 4.4 | (0.9) |
Additions |  |  |  | 592.5 | 134.0 |
Impairment |  |  |  | (460.9) |  |
Changes in foreign currency exchange rates |  |  |  | (38.6) | (2.8) |
Balance at end of the period |  |  |  | 3,122.8 | 3,025.4 | $ 2,895.1
Deferred tax benefit |  |  |  | 155.7 | 18.9 | 30.9
Carrying value |  |  |  | 253.2 | 245.8 |
Cboe Digital |  |  |  |  |  |
Goodwill |  |  |  |  |  |
Additions | $ 460.9 |  |  |  |  |
Impairment |  | $ (0.8) |  |  |  |
Options |  |  |  |  |  |
Goodwill |  |  |  |  |  |
Balance at beginning of the period |  |  |  | 305.8 | 305.8 |
Adjustment |  |  |  | 0.0 | 0.0 |
Additions |  |  |  | 0.0 | 0.0 |
Impairment |  |  |  | 0.0 |  |
Changes in foreign currency exchange rates |  |  |  | 0.0 | 0.0 |
Balance at end of the period |  |  |  | 305.8 | 305.8 | 305.8
North American Equities |  |  |  |  |  |
Goodwill |  |  |  |  |  |
Balance at beginning of the period |  |  |  | 1,876.9 | 1,877.3 |
Adjustment |  |  |  | 0.2 | (0.5) |
Additions |  |  |  | 132.4 | 0.0 |
Impairment |  |  |  | 0.0 |  |
Changes in foreign currency exchange rates |  |  |  | (8.7) | 0.1 |
Balance at end of the period |  |  |  | 2,000.8 | 1,876.9 | 1,877.3
Europe and Asia Pacific |  |  |  |  |  |
Goodwill |  |  |  |  |  |
Balance at beginning of the period |  |  |  | 575.5 | 444.8 |
Adjustment |  |  |  | 3.4 | (0.4) |
Additions |  |  |  | 0.0 | 134.0 |
Impairment |  |  |  | 0.0 |  |
Changes in foreign currency exchange rates |  |  |  | (29.9) | (2.9) |
Balance at end of the period |  |  |  | 549.0 | 575.5 | 444.8
Global FX |  |  |  |  |  |
Goodwill |  |  |  |  |  |
Balance at beginning of the period |  |  |  | 267.2 | 267.2 |
Adjustment |  |  |  | 0.0 | 0.0 |
Additions |  |  |  | 0.0 | 0.0 |
Impairment |  |  |  | 0.0 |  |
Changes in foreign currency exchange rates |  |  |  | 0.0 | 0.0 |
Balance at end of the period |  |  |  | 267.2 | 267.2 | 267.2
Digital |  |  |  |  |  |
Goodwill |  |  |  |  |  |
Balance at beginning of the period |  |  |  | 0.0 | 0.0 |
Adjustment |  |  |  | 0.8 | 0.0 |
Additions |  |  |  | 460.1 | 0.0 |
Impairment |  |  | $ 460.1 | (460.9) |  |
Changes in foreign currency exchange rates |  |  |  | 0.0 | 0.0 |
Balance at end of the period |  |  |  | 0.0 | $ 0.0 | $ 0.0
Deferred tax benefit |  |  | 116.2 |  |  |
Decrease in carrying value |  |  | 343.9 |  |  |
Carrying value |  |  | 220.0 |  |  |
Intangible asset impairment |  |  | $ 0.0 |  |  |
Other long lived assets | $ 0.0 |  |  |  |  |
Futures |  |  |  |  |  |
Goodwill |  |  |  |  |  |
Balance at end of the period |  |  |  | $ 0.0 |  |

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