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Commitments and Contingencies (Details Textual) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2006
Sep. 30, 2018
Jun. 30, 2018
Mar. 31, 2018
Jun. 30, 2013
Apr. 02, 2013
Business Acquisition [Line Items]                      
Maximum contingent consideration in the form of development and approval milestones $ 1,000.0   $ 1,000.0                
Increase to goodwill     1,080.1 $ 1,267.3              
Potential future milestone payments commitment, approximately 5,000.0   5,000.0                
Cancellable future commitments 655.0   655.0                
Commitments And Contingencies (Textual)                      
Accrued expenses 27.0   27.0                
Liabilities associated with uncertain tax positions 117.7   117.7                
Lease rent expense which terminates at various dates through 2028     64.5 65.3 $ 68.7            
TYSABRI                      
Business Acquisition [Line Items]                      
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%
Fumapharm AG                      
Business Acquisition [Line Items]                      
Amount paid in cash           $ 220.0          
Solothurn                      
Business Acquisition [Line Items]                      
Cancellable future commitments 111.0   111.0                
TECFIDERA | Fumapharm AG                      
Business Acquisition [Line Items]                      
Maximum contingent consideration in the form of development and approval milestones                   $ 15.0  
Increase to goodwill     1,200.0 1,500.0              
Fifteen billion | TECFIDERA | Fumapharm AG                      
Business Acquisition [Line Items]                      
Cumulative sales level   $ 15,000.0   15,000.0              
Sixteen billion | TECFIDERA | Fumapharm AG                      
Business Acquisition [Line Items]                      
Increase to goodwill   600.0                  
Cumulative sales level   16,000.0   16,000.0              
Seventeen billion | TECFIDERA | Fumapharm AG                      
Business Acquisition [Line Items]                      
Cumulative sales level                 $ 17,000.0    
Eighteen billion | TECFIDERA | Fumapharm AG                      
Business Acquisition [Line Items]                      
Cumulative sales level               $ 18,000.0      
Nineteen billion | TECFIDERA | Fumapharm AG                      
Business Acquisition [Line Items]                      
Increase to goodwill     1,500.0                
Cumulative sales level             $ 19,000.0        
Twenty billion | TECFIDERA | Fumapharm AG                      
Business Acquisition [Line Items]                      
Increase to goodwill 300.0                    
Each additional one billion up to twenty billion | TECFIDERA | Fumapharm AG                      
Business Acquisition [Line Items]                      
Cumulative sales level 20,000.0   20,000.0                
Development Milestones                      
Business Acquisition [Line Items]                      
Potential future milestone payments commitment, approximately 700.0   700.0                
Regulatory Milestones [Member]                      
Business Acquisition [Line Items]                      
Potential future milestone payments commitment, approximately 1,800.0   1,800.0                
Commercial Milestones [Member]                      
Business Acquisition [Line Items]                      
Potential future milestone payments commitment, approximately 2,500.0   2,500.0                
2017 Tax Act                      
Business Acquisition [Line Items]                      
Transition toll tax liabilities $ 697.0 $ 989.6 697.0 $ 989.6              
Deferred tax liabilities, decrease due to overpayment     $ 150.0                
Ionis Pharmaceuticals | Minimum | SPINRAZA                      
Business Acquisition [Line Items]                      
Percentage Of Royalties As Per Collaboration     11.00%                
Ionis Pharmaceuticals | Maximum | SPINRAZA                      
Business Acquisition [Line Items]                      
Percentage Of Royalties As Per Collaboration     15.00%