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Accumulated Other Comprehensive Income (Loss) (Details 1) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Dec. 31, 2016
Sep. 30, 2016
Jun. 30, 2016
Mar. 31, 2016
Dec. 31, 2015
Sep. 30, 2015
Jun. 30, 2015
Mar. 31, 2015
Dec. 31, 2016
Dec. 31, 2015
Dec. 31, 2014
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]                      
Other income (expense)                 $ (217.4) $ (123.7) $ (25.8)
Income tax expense                 1,237.3 1,161.6 989.9
Product, net $ 2,502.9 $ 2,539.6 $ 2,466.0 $ 2,309.4 $ 2,425.9 $ 2,391.7 $ 2,198.6 $ 2,172.3 9,817.9 9,188.5 8,203.4
Net income attributable to Biogen Inc. $ 649.2 $ 1,032.9 $ 1,049.8 $ 970.9 $ 831.6 $ 965.6 $ 927.3 $ 822.5 3,702.8 3,547.0 2,934.8
Reclassification out of Accumulated Other Comprehensive Income [Member]                      
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]                      
Net income attributable to Biogen Inc.                 3.4 171.0 12.7
Unrealized Gains (Losses) on Securities Available for Sale | Reclassification out of Accumulated Other Comprehensive Income [Member]                      
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]                      
Other income (expense)                 (0.9) (2.0) 9.9
Income tax expense                 0.3 0.7 (3.5)
Unrealized Gains (Losses) on Cash Flow Hedges | Reclassification out of Accumulated Other Comprehensive Income [Member]                      
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]                      
Other income (expense)                 0.2 (0.1) 0.0
Income tax expense                 0.0 (0.8) (0.5)
Product, net                 5.3 173.2 6.8
Operating Expenses                 $ (1.5) $ 0.0 $ 0.0