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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.