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Earnings per Share (Details) - USD ($)
shares in Millions, $ in Millions
3 Months Ended
Mar. 31, 2016
Mar. 31, 2015
Numerator:    
Net income attributable to Biogen Inc $ 970.9 $ 822.5
Weighted-average shares used in calculating:    
Weighted average number of common shares outstanding 218.9 235.0
Effect of dilutive securities:    
Dilutive potential common shares 0.4 0.6
Shares used in calculating diluted earnings per share 219.3 235.6
Stock options and employee stock purchase plan    
Effect of dilutive securities:    
Stock units 0.1 0.1
Time-vested restricted stock units    
Effect of dilutive securities:    
Stock units 0.2 0.3
Market stock units    
Effect of dilutive securities:    
Stock units 0.1 0.2