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Goodwill (Rollforward of Goodwill) (Details) - USD ($)
$ in Millions
3 Months Ended
Mar. 31, 2018
Mar. 31, 2017
Goodwill [Roll Forward]    
As of January, 1 $ 19,831.7 $ 17,888.2
Changes (25.8)  
Foreign currency translation 182.7 47.1
Acquisitions   1,213.8
As of March 31, 19,988.6 19,149.1
Rare Disease    
Goodwill [Roll Forward]    
As of January, 1 16,281.8 14,493.5
Changes (25.8)  
Foreign currency translation 150.0 38.7
Acquisitions   1,213.8
As of March 31, 16,406.0 15,746.0
Neuroscience    
Goodwill [Roll Forward]    
As of January, 1 3,549.9 3,394.7
Changes 0.0  
Foreign currency translation 32.7 8.4
Acquisitions   0.0
As of March 31, $ 3,582.6 $ 3,403.1