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Commitments and Contingencies (Details Textual) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Dec. 31, 2015
Jun. 30, 2014
Dec. 31, 2015
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2010
Dec. 31, 2006
Jun. 30, 2013
Apr. 02, 2013
Jan. 31, 2007
Business Acquisition [Line Items]                    
Cancellable future commitments $ 559.0   $ 559.0              
Maximum contingent consideration in the form of development and approval milestones 1,300.0   1,300.0              
Increase to goodwill     908.1 $ 527.3            
Commitments And Contingencies (Textual)                    
Lease rent expense which terminates at various dates through 2028     68.6 62.4 $ 56.1          
Liabilities associated with uncertain tax positions 45.4   45.4              
Accrued expenses 25.0   25.0              
Potential future milestone payments commitment, approximately 2,800.0   2,800.0              
TYSABRI product                    
Commitments And Contingencies (Textual)                    
Future contingent payment for annual worldwide net sales up to $2.0 billion                 18.00%  
Future contingent payment threshold                 $ 2,000.0  
Future contingent payment for annual worldwide net sales that exceed $2.0 billion                 25.00%  
Biogen Hemophilia                    
Business Acquisition [Line Items]                    
Maximum contingent consideration in the form of development and approval milestones                   $ 80.0
Milestone payments made during period   $ 20.0       $ 40.0        
Fumapharm AG                    
Business Acquisition [Line Items]                    
Amount paid in cash             $ 220.0      
Cambridge Leases                    
Business Acquisition [Line Items]                    
Charges recognized to vacate building         $ 27.2          
Solothurn                    
Business Acquisition [Line Items]                    
Cancellable future commitments 126.4   126.4              
TECFIDERA | Fumapharm AG                    
Business Acquisition [Line Items]                    
Maximum contingent consideration in the form of development and approval milestones               $ 15.0    
Increase to goodwill     900.0 $ 600.0            
Six billion | TECFIDERA | Fumapharm AG                    
Business Acquisition [Line Items]                    
Amount paid in cash     850.0              
Cumulative sales level 6,000.0   6,000.0              
Four billion | TECFIDERA | Fumapharm AG                    
Business Acquisition [Line Items]                    
Cumulative sales level 4,000.0   4,000.0              
Five billion | TECFIDERA | Fumapharm AG                    
Business Acquisition [Line Items]                    
Cumulative sales level 5,000.0   5,000.0              
Seven billion | TECFIDERA | Fumapharm AG                    
Business Acquisition [Line Items]                    
Increase to goodwill 300.0                  
Cumulative sales level 7,000.0   7,000.0              
One billion | TECFIDERA | Fumapharm AG                    
Business Acquisition [Line Items]                    
Cumulative sales level 1,000.0   1,000.0              
Each additional one billion up to twenty billion | TECFIDERA | Fumapharm AG                    
Business Acquisition [Line Items]                    
Increase to goodwill 300.0                  
Cumulative sales level 20,000.0   20,000.0              
Three billion | TECFIDERA | Fumapharm AG                    
Business Acquisition [Line Items]                    
Cumulative sales level $ 3,000.0   $ 3,000.0