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Earnings per Share (Details) - USD ($)
shares in Millions, $ in Millions
3 Months Ended 6 Months Ended
Jun. 30, 2020
Jun. 30, 2019
Jun. 30, 2020
Jun. 30, 2019
Numerator:        
Net income attributable to Biogen Inc. $ 1,542.1 $ 1,494.1 $ 2,941.2 $ 2,902.9
Weighted-average shares used in calculating:        
Weighted average number of common shares outstanding 160.6 190.3 166.7 193.4
Effect of dilutive securities:        
Dilutive potential common shares 0.3 0.1 0.3 0.3
Shares used in calculating diluted earnings per share 160.9 190.4 167.0 193.7
Time-vested restricted stock units        
Effect of dilutive securities:        
Stock units 0.1 0.1 0.1 0.2
Market stock units        
Effect of dilutive securities:        
Stock units 0.1 0.0 0.1 0.1
Performance stock units settled in stock        
Effect of dilutive securities:        
Stock units 0.1 0.0 0.1 0.0