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Earnings per Share (Details) - USD ($)
shares in Millions, $ in Millions
3 Months Ended
Mar. 31, 2017
Mar. 31, 2016
Numerator:    
Net income attributable to Biogen Inc $ 747.6 $ 970.9
Weighted-average shares used in calculating:    
Weighted average number of common shares outstanding 215.6 218.9
Effect of dilutive securities:    
Dilutive potential common shares 0.3 0.4
Shares used in calculating diluted earnings per share 215.9 219.3
Stock options and employee stock purchase plan    
Effect of dilutive securities:    
Stock units 0.0 0.1
Time-vested restricted stock units    
Effect of dilutive securities:    
Stock units 0.2 0.2
Market stock units    
Effect of dilutive securities:    
Stock units 0.1 0.1