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Intangible Assets and Goodwill (Components of Intangible Assets) (Details) - USD ($) $ in Millions | Dec. 31, 2021 | Dec. 31, 2020
--- | --- | ---
Net book value |  | $ 3,532.0 | $ 4,865.3
Other Indefinite-lived Intangible Assets | [1] | 17,175.3 | 17,175.3
Trade Names [Member] |  |  |
Net book value |  | 450.0 | 450.0
Clearing Firm, Market Data, and Other Customer Relationships [Member] |  |  |
Cost |  | 5,818.2 | 5,858.0
Accumulated amortization |  | (1,847.7) | (1,632.5)
Net book value |  | 3,020.5 | 4,225.5
Disposal Group, Including Discontinued Operation, Intangible Assets |  | (950.0) |
Technology-Related Intellectual Property [Member] |  |  |
Cost |  | 175.3 | 178.4
Accumulated amortization |  | (76.3) | (68.2)
Net book value |  | 14.4 | 110.2
Disposal Group, Including Discontinued Operation, Intangible Assets |  | (84.6) |
Other Intangible Assets [Member] |  |  |
Cost |  | 105.7 | 106.9
Accumulated amortization |  | (35.5) | (27.3)
Net book value |  | 47.1 | 79.6
Disposal Group, Including Discontinued Operation, Intangible Assets |  | (23.1) |
Finite-Lived Intangible Assets [Member] |  |  |
Cost |  | 6,099.2 | 6,143.3
Accumulated amortization |  | (1,959.5) | (1,728.0)
Net book value |  | 3,082.0 | $ 4,415.3
Disposal Group, Including Discontinued Operation, Intangible Assets |  | $ (1,057.7) |
[1] | Trading products represent futures and options products acquired in our business combinations with CBOT Holdings, Inc., NYMEX Holdings, Inc. and The Board of Trade of Kansas City, Missouri, Inc. Clearing and transaction fees are generated through the trading of these products. These trading products, most of which have traded for decades, require authorization from the CFTC. Product authorizations from the CFTC have no term limits.(2)The activity from deconsolidation includes intangible assets as part of the contribution of the net assets of the optimization business to OSTTRA.

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