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Intangible Assets and Goodwill (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2022
Sep. 30, 2021
Dec. 31, 2021
Intangible assets          
Total intangible assets, gross $ 7,588.3   $ 7,588.3   $ 7,609.8
Accumulated Amortization (5,579.4)   (5,579.4)   (5,388.5)
Intangible assets, net 2,008.9   2,008.9   2,221.3
Amortization and impairment of acquired intangible assets 56.5 $ 111.0 190.9 $ 813.2  
Expected future amortization expense, 2019 (remaining three months) 55.0   55.0    
Expected future amortization expense, 2020 215.0   215.0    
Expected future amortization expense, 2021 195.0   195.0    
Expected future amortization expense, 2022 190.0   190.0    
Expected future amortization expense, 2023 175.0   175.0    
Expected future amortization expense, 2024 165.0   165.0    
Completed technology          
Intangible assets          
Cost 7,415.0   7,415.0   7,413.1
Net 1,835.6   1,835.6   2,024.6
Accumulated Amortization (5,579.4)   $ (5,579.4)   (5,388.5)
Completed technology | Minimum          
Intangible assets          
Useful life     4 years    
Completed technology | Maximum          
Intangible assets          
Useful life     28 years    
In-process research and development          
Intangible assets          
Cost and Net 109.3   $ 109.3   132.7
Accumulated Amortization 0.0   0.0   0.0
Indefinite-lived Intangible Assets (Excluding Goodwill) 109.3   109.3   132.7
Trademarks and Trade Names          
Intangible assets          
Cost and Net 64.0   64.0   64.0
Accumulated Amortization 0.0   0.0   0.0
Indefinite-lived Intangible Assets (Excluding Goodwill) 64.0   64.0   $ 64.0
BIIB111          
Intangible assets          
Amortization and impairment of acquired intangible assets   15.0   365.0  
BIIB112          
Intangible assets          
Amortization and impairment of acquired intangible assets   28.4   220.0  
Vixotrigine          
Intangible assets          
Amortization and impairment of acquired intangible assets       $ 44.3  
TGN | In-process research and development          
Intangible assets          
Cost and Net 109.3   109.3    
Indefinite-lived Intangible Assets (Excluding Goodwill) $ 109.3   $ 109.3    
BIIB111 and BIIB112          
Intangible assets          
Amortization and impairment of acquired intangible assets   $ 39.1