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Intangible Assets and Goodwill (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2019
Sep. 30, 2018
Jun. 07, 2019
Dec. 31, 2018
Intangible assets            
Contingent consideration impairment $ 57.8 $ 87.9 $ 66.3 $ 91.6    
Total intangible assets, gross 8,206.1   8,206.1     $ 7,727.3
Accumulated Amortization (4,813.7)   (4,813.7)     (4,607.3)
Intangible assets, net 3,392.4   3,392.4     3,120.0
Amortization and impairment of acquired intangible assets 283.9 281.9 422.2 493.2    
Amortization of intangible assets, excluding impairment 68.0 92.6 206.3 303.9    
Intangible Assets and Goodwill (Textual) [Abstract]            
Expected future amortization expense, 2019 (remaining three months) 65.0   65.0      
Expected future amortization expense, 2020 255.0   255.0      
Expected future amortization expense, 2021 215.0   215.0      
Expected future amortization expense, 2022 215.0   215.0      
Expected future amortization expense, 2023 220.0   220.0      
Expected future amortization expense, 2024 210.0   210.0      
Out-licensed patents            
Intangible assets            
Cost 543.3   543.3     543.3
Net 0.8   0.8     1.0
Accumulated Amortization (542.5)   $ (542.5)     (542.3)
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     3,005.3
Net 240.7   240.7     270.5
Accumulated Amortization (2,764.6)   $ (2,764.6)     (2,734.8)
Developed technology | Minimum            
Intangible assets            
Estimated life, (in years)     15 years      
Developed technology | Maximum            
Intangible assets            
Estimated life, (in years)     28 years      
Developed technology | AVONEX            
Intangible assets            
Net 236.6   $ 236.6      
Acquired and in-licensed rights and patents            
Intangible assets            
Cost 3,638.7   3,638.7     3,638.7
Net 2,132.1   2,132.1     2,308.5
Accumulated Amortization (1,506.6)   $ (1,506.6)     (1,330.2)
Acquired and in-licensed rights and patents | Minimum            
Intangible assets            
Estimated life, (in years)     4 years      
Acquired and in-licensed rights and patents | Maximum            
Intangible assets            
Estimated life, (in years)     18 years      
Acquired and in-licensed rights and patents | TYSABRI            
Intangible assets            
Net 1,889.6   $ 1,889.6      
Acquired and in-licensed rights and patents | TECFIDERA            
Intangible assets            
Net 45.6   $ 45.6      
In Process Research and Development            
Intangible assets            
Indefinite lived intangible assets useful life     Indefinite until commercialization      
Cost and Net 954.8   $ 954.8     476.0
Accumulated Amortization 0.0   $ 0.0     0.0
Amortization and impairment of acquired intangible assets 215.9 189.3        
Trademarks and Trade Names            
Intangible assets            
Indefinite lived intangible assets useful life     Indefinite      
Cost and Net 64.0   $ 64.0     64.0
Accumulated Amortization 0.0   $ 0.0     $ 0.0
Nightstar            
Intangible assets            
In-process research and development         $ 700.0  
BG00011            
Intangible assets            
Contingent consideration impairment 61.2          
BG00011 | In Process Research and Development            
Intangible assets            
Amortization and impairment of acquired intangible assets $ 215.9          
PLSR [Member] | In Process Research and Development            
Intangible assets            
Amortization and impairment of acquired intangible assets   60.0        
TGN [Member]            
Intangible assets            
Contingent consideration impairment   89.6        
TGN [Member] | In Process Research and Development            
Intangible assets            
Cost and Net   41.8   $ 41.8    
Amortization and impairment of acquired intangible assets   $ 129.3