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Intangible Assets and Goodwill (Details) - USD ($)
$ in Millions
3 Months Ended
Mar. 31, 2016
Mar. 31, 2015
Dec. 31, 2015
Intangible assets      
Total intangible assets, gross $ 7,662.2   $ 7,646.3
Accumulated Amortization (3,650.0)   (3,561.2)
Intangible assets, net 4,012.2   4,085.1
Intangible Assets and Goodwill (Textual) [Abstract]      
Amortization of acquired intangible assets 88.8 $ 95.9  
Accumulated impairment losses related to goodwill 0.0    
Expected future amortization expense, 2016 (remaining nine months) 265.3    
Expected future amortization expense, 2017 321.0    
Expected future amortization expense, 2018 293.6    
Expected future amortization expense, 2019 277.6    
Expected future amortization expense, 2020 271.6    
Expected future amortization expense, 2021 259.3    
Total 1,688.4    
BENEPALI      
Intangible assets      
Increase in acquired and in-licensed rights and patents 25.0    
Out-licensed patents      
Intangible assets      
Cost 543.3   543.3
Accumulated Amortization (510.5)   (506.0)
Net $ 32.8   37.3
Out-licensed patents | Minimum      
Intangible assets      
Estimated life, (in years) 13 years    
Out-licensed patents | Maximum      
Intangible assets      
Estimated life, (in years) 23 years    
Developed technology      
Intangible assets      
Cost $ 3,005.3   3,005.3
Accumulated Amortization (2,578.1)   (2,552.9)
Net $ 427.2   452.4
Developed technology | Minimum      
Intangible assets      
Estimated life, (in years) 15 years    
Developed technology | Maximum      
Intangible assets      
Estimated life, (in years) 23 years    
Developed technology | AVONEX      
Intangible assets      
Net $ 418.9    
Acquired and in-licensed rights and patents      
Intangible assets      
Cost 3,331.1   3,303.2
Accumulated Amortization (561.4)   (502.3)
Net $ 2,769.7   2,800.9
Acquired and in-licensed rights and patents | Minimum      
Intangible assets      
Estimated life, (in years) 6 years    
Acquired and in-licensed rights and patents | Maximum      
Intangible assets      
Estimated life, (in years) 18 years    
In-process research and development      
Intangible assets      
Indefinite lived intangible assets useful life Indefinite until commercialization    
Cost and Net $ 718.5   730.5
Accumulated Amortization $ 0.0   0.0
Trademarks and trade names      
Intangible assets      
Indefinite lived intangible assets useful life Indefinite    
Cost and Net $ 64.0   64.0
Accumulated Amortization 0.0   $ 0.0
TYSABRI product | Acquired and in-licensed rights and patents      
Intangible assets      
Net $ 2,689.2