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Segment Information (Details) - 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
Revenue by product                      
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
U.S                      
Revenue by product                      
Product, net                 7,050.4 6,545.8 5,566.7
Rest of world                      
Revenue by product                      
Product, net                 2,767.5 2,642.7 2,636.7
TECFIDERA                      
Revenue by product                      
Product, net                 3,968.1 3,638.4 2,909.2
TECFIDERA | U.S                      
Revenue by product                      
Product, net                 3,169.4 2,908.2 2,426.6
TECFIDERA | Rest of world                      
Revenue by product                      
Product, net                 798.7 730.2 482.6
AVONEX                      
Revenue by product                      
Product, net                 2,313.5 2,630.2 3,013.1
AVONEX | U.S                      
Revenue by product                      
Product, net                 1,675.3 1,790.2 1,956.7
AVONEX | Rest of world                      
Revenue by product                      
Product, net                 638.2 840.0 1,056.4
PLEGRIDY                      
Revenue by product                      
Product, net                 481.7 338.5 44.5
PLEGRIDY | U.S                      
Revenue by product                      
Product, net                 305.0 227.1 27.8
PLEGRIDY | Rest of world                      
Revenue by product                      
Product, net                 176.7 111.4 16.7
TYSABRI                      
Revenue by product                      
Product, net                 1,963.8 1,886.1 1,959.5
TYSABRI | U.S                      
Revenue by product                      
Product, net                 1,182.9 1,103.1 1,025.1
TYSABRI | Rest of world                      
Revenue by product                      
Product, net                 780.9 783.0 934.4
FAMPYRA                      
Revenue by product                      
Product, net                 84.9 89.7 80.2
FAMPYRA | U.S                      
Revenue by product                      
Product, net                 0.0 0.0 0.0
FAMPYRA | Rest of world                      
Revenue by product                      
Product, net                 84.9 89.7 80.2
ZINBRYTA                      
Revenue by product                      
Product, net                 7.8 0.0 0.0
ZINBRYTA | U.S                      
Revenue by product                      
Product, net                 0.0 0.0 0.0
ZINBRYTA | Rest of world                      
Revenue by product                      
Product, net                 7.8 0.0 0.0
ELOCTATE                      
Revenue by product                      
Product, net                 513.2 319.7 58.4
ELOCTATE | U.S                      
Revenue by product                      
Product, net                 445.2 308.3 58.4
ELOCTATE | Rest of world                      
Revenue by product                      
Product, net                 68.0 11.4 0.0
ALPROLIX                      
Revenue by product                      
Product, net                 333.7 234.5 76.0
ALPROLIX | U.S                      
Revenue by product                      
Product, net                 268.0 208.9 72.1
ALPROLIX | Rest of world                      
Revenue by product                      
Product, net                 65.7 25.6 3.9
FUMADERM                      
Revenue by product                      
Product, net                 45.9 51.4 62.5
FUMADERM | U.S                      
Revenue by product                      
Product, net                 0.0 0.0 0.0
FUMADERM | Rest of world                      
Revenue by product                      
Product, net                 45.9 51.4 62.5
SPINRAZA                      
Revenue by product                      
Product, net                 4.6 0.0 0.0
SPINRAZA | U.S                      
Revenue by product                      
Product, net                 4.6 0.0 0.0
SPINRAZA | Rest of world                      
Revenue by product                      
Product, net                 0.0 0.0 0.0
BENEPALI                      
Revenue by product                      
Product, net                 100.6 0.0 0.0
BENEPALI | U.S                      
Revenue by product                      
Product, net                 0.0 0.0 0.0
BENEPALI | Rest of world                      
Revenue by product                      
Product, net                 100.6 0.0 0.0
FLIXABI                      
Revenue by product                      
Product, net                 0.1 0.0 0.0
FLIXABI | U.S                      
Revenue by product                      
Product, net                 0.0 0.0 0.0
FLIXABI | Rest of world                      
Revenue by product                      
Product, net                 $ 0.1 $ 0.0 $ 0.0