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Collaborative and Other Relationships Collaborative and Other Relationships - Collaborations (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Sep. 30, 2016
Jun. 30, 2016
Sep. 30, 2015
Mar. 31, 2012
Sep. 30, 2016
Sep. 30, 2015
Dec. 31, 2015
Jan. 31, 2007
Collaborative Arrangements and Non-collaborative Arrangement Transactions [Line Items]                
Research and development $ 529.0   $ 519.9   $ 1,439.4 $ 1,471.1    
Investments and other assets 1,239.6       1,239.6   $ 1,107.6  
Other 98.6   49.0   265.5 156.6    
Collaboration profit (loss) sharing 4.7   0.0   $ (0.9) 0.0    
Sobi rate to Biogen on net sales in the Sobi Territory                
Collaborative Arrangements and Non-collaborative Arrangement Transactions [Line Items]                
Reimbursement under the amended agreement method         Royalty      
Base rate after first commercial sale         12.00%      
Rate during the reimbursement period         Base Rate plus 5%      
Biogen rate to Sobi on net sales in the Biogen North America Territory                
Collaborative Arrangements and Non-collaborative Arrangement Transactions [Line Items]                
Reimbursement under the amended agreement method         Royalty      
Rate during the reimbursement period         Base Rate less 5%      
Biogen rate to Sobi on net sales in the Biogen North America Territory | Sobi Territory                
Collaborative Arrangements and Non-collaborative Arrangement Transactions [Line Items]                
Base rate after first commercial sale         12.00%      
Biogen rate to Sobi on net sales in the Biogen Direct Territory                
Collaborative Arrangements and Non-collaborative Arrangement Transactions [Line Items]                
Reimbursement under the amended agreement method         Royalty      
Rate during the reimbursement period         Base Rate less 5%      
Biogen rate to Sobi on net sales in the Biogen Direct Territory | Sobi Territory                
Collaborative Arrangements and Non-collaborative Arrangement Transactions [Line Items]                
Base rate after first commercial sale         17.00%      
Biogen rate to Sobi on net revenue from the Biogen Distributor Territory                
Collaborative Arrangements and Non-collaborative Arrangement Transactions [Line Items]                
Reimbursement under the amended agreement method         Net Revenue Share      
Rate during the reimbursement period         Base Rate less 15%      
Biogen rate to Sobi on net revenue from the Biogen Distributor Territory | Sobi Territory                
Collaborative Arrangements and Non-collaborative Arrangement Transactions [Line Items]                
Base rate after first commercial sale         50.00%      
Biogen Hemophilia                
Collaborative Arrangements and Non-collaborative Arrangement Transactions [Line Items]                
Percentage of stock acquired               100.00%
University of Pennsylvania                
Collaborative Arrangements and Non-collaborative Arrangement Transactions [Line Items]                
Research and development   $ 20.0            
Investments and other assets   $ 15.0            
Future research and development commitment 47.5       $ 47.5      
Potential future milestone payments 2,000.0       $ 2,000.0      
Swedish Orphan Biovitrum                
Collaborative Arrangements and Non-collaborative Arrangement Transactions [Line Items]                
Reimbursement recognition period         10 years      
Reimbursement cost achieving period         6 years      
Time period for paying remaining balance due         90 days      
Swedish Orphan Biovitrum | ELOCTATE                
Collaborative Arrangements and Non-collaborative Arrangement Transactions [Line Items]                
Research and development         $ 151.0      
Consideration per product         10.0      
Swedish Orphan Biovitrum | ALPROLIX                
Collaborative Arrangements and Non-collaborative Arrangement Transactions [Line Items]                
Research and development         129.0      
Consideration per product         $ 10.0      
AbbVie                
Collaborative Arrangements and Non-collaborative Arrangement Transactions [Line Items]                
Biogen share of co-promotion profits or losses         50.00%      
AbbVie | U.S.                
Collaborative Arrangements and Non-collaborative Arrangement Transactions [Line Items]                
Other         $ 13.5      
AbbVie | E.U.                
Collaborative Arrangements and Non-collaborative Arrangement Transactions [Line Items]                
Collaboration profit (loss) sharing         2.7      
Ionis Pharmaceuticals, Inc.                
Collaborative Arrangements and Non-collaborative Arrangement Transactions [Line Items]                
Research and development       $ 29.0        
License Fee 75.0              
Ionis Pharmaceuticals, Inc. | Nusinersen                
Collaborative Arrangements and Non-collaborative Arrangement Transactions [Line Items]                
Research and development 25.7   $ 10.6   58.9 $ 23.9    
Potential future milestone payments 150.0       150.0      
Samsung Biosimilar Agreement [Member]                
Collaborative Arrangements and Non-collaborative Arrangement Transactions [Line Items]                
Collaboration profit (loss) sharing 7.4       1.8      
Acquired and in-licensed rights and patents | ALPROLIX                
Collaborative Arrangements and Non-collaborative Arrangement Transactions [Line Items]                
Increase in acquired and in-licensed rights and patents         26.5      
Acquired and in-licensed rights and patents | ZINBRYTA                
Collaborative Arrangements and Non-collaborative Arrangement Transactions [Line Items]                
Increase in acquired and in-licensed rights and patents         32.0      
Acquired and in-licensed rights and patents | ZINBRYTA | U.S.                
Collaborative Arrangements and Non-collaborative Arrangement Transactions [Line Items]                
Increase in acquired and in-licensed rights and patents         20.0      
Acquired and in-licensed rights and patents | ZINBRYTA | E.U.                
Collaborative Arrangements and Non-collaborative Arrangement Transactions [Line Items]                
Increase in acquired and in-licensed rights and patents         12.0      
Acquired and in-licensed rights and patents | Biosimilars                
Collaborative Arrangements and Non-collaborative Arrangement Transactions [Line Items]                
Increase in acquired and in-licensed rights and patents $ 25.0       $ 50.0      
Royalty revenues | Swedish Orphan Biovitrum                
Collaborative Arrangements and Non-collaborative Arrangement Transactions [Line Items]                
Biogen effective royalty rate         0.14      
Cost of sales | Swedish Orphan Biovitrum                
Collaborative Arrangements and Non-collaborative Arrangement Transactions [Line Items]                
Biogen effective royalty rate         0.11