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Collaborative and Other Relationships - ADUHELM Collaboration Agreement (Details) - USD ($)
$ in Millions
1 Months Ended 3 Months Ended 12 Months Ended
Jun. 30, 2021
Mar. 31, 2019
Dec. 31, 2021
Jun. 30, 2021
Jun. 30, 2020
Dec. 31, 2019
Dec. 31, 2021
Dec. 31, 2020
Dec. 31, 2019
Collaborative arrangements and non-collaborative arrangement transactions                  
Income (loss) from equity method investments             $ 34.9 $ 3.3 $ (77.4)
Royalty cost of sales             $ 2,109.7 1,805.2 1,955.4
ADUHELM                  
Collaborative arrangements and non-collaborative arrangement transactions                  
Royalty cost of sales     $ 164.0            
Eisai                  
Collaborative arrangements and non-collaborative arrangement transactions                  
Percentage of future development costs             45.00%    
Loss on contract termination   $ 45.0              
Additional milestone payment           $ 75.0 $ 100.0 75.0 0.0
Income (loss) from equity method investments         $ 33.8 $ 33.8 45.0 33.8 $ 0.0
Due from related parties     285.4       285.4 151.1  
Due to related parties     $ 46.5       46.5 $ 111.9  
Eisai | Collaboration profit sharing                  
Collaborative arrangements and non-collaborative arrangement transactions                  
Income (loss) from equity method investments             $ 233.2    
Eisai | United States                  
Collaborative arrangements and non-collaborative arrangement transactions                  
Biogen share of co-promotion profits or losses             55.00%    
Eisai | European Union                  
Collaborative arrangements and non-collaborative arrangement transactions                  
Biogen share of co-promotion profits or losses             68.50%    
Eisai | JAPAN                  
Collaborative arrangements and non-collaborative arrangement transactions                  
Biogen share of co-promotion profits or losses             20.00%    
Eisai | ADUHELM                  
Collaborative arrangements and non-collaborative arrangement transactions                  
Additional milestone payment $ 100.0                
Income (loss) from equity method investments       $ 45.0     $ 45.0