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Segment Information (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Dec. 31, 2015
Sep. 30, 2015
Jun. 30, 2015
Mar. 31, 2015
Dec. 31, 2014
Sep. 30, 2014
Jun. 30, 2014
Mar. 31, 2014
Dec. 31, 2015
Dec. 31, 2014
Dec. 31, 2013
Revenue by product                      
Product, net $ 2,425.9 $ 2,391.7 $ 2,198.6 $ 2,172.3 $ 2,287.0 $ 2,117.3 $ 2,056.3 $ 1,742.8 $ 9,188.5 $ 8,203.4 $ 5,542.3
U.S                      
Revenue by product                      
Product, net                 6,545.8 5,566.7 3,581.0
Rest of world                      
Revenue by product                      
Product, net                 2,642.7 2,636.7 1,961.3
TECFIDERA                      
Revenue by product                      
Product, net                 3,638.4 2,909.2 876.1
TECFIDERA | U.S                      
Revenue by product                      
Product, net                 2,908.2 2,426.6 864.4
TECFIDERA | Rest of world                      
Revenue by product                      
Product, net                 730.2 482.6 11.7
AVONEX                      
Revenue by product                      
Product, net                 2,630.2 3,013.1 3,005.5
AVONEX | U.S                      
Revenue by product                      
Product, net                 1,790.2 1,956.7 1,902.4
AVONEX | Rest of world                      
Revenue by product                      
Product, net                 840.0 1,056.4 1,103.1
PLEGRIDY                      
Revenue by product                      
Product, net                 338.5 44.5 0.0
PLEGRIDY | U.S                      
Revenue by product                      
Product, net                 227.1 27.8 0.0
PLEGRIDY | Rest of world                      
Revenue by product                      
Product, net                 111.4 16.7 0.0
TYSABRI                      
Revenue by product                      
Product, net                 1,886.1 1,959.5 1,526.5
TYSABRI | U.S                      
Revenue by product                      
Product, net                 1,103.1 1,025.1 814.2
TYSABRI | Rest of world                      
Revenue by product                      
Product, net                 783.0 934.4 712.3
FAMPYRA                      
Revenue by product                      
Product, net                 89.7 80.2 74.0
FAMPYRA | U.S                      
Revenue by product                      
Product, net                 0.0 0.0 0.0
FAMPYRA | Rest of world                      
Revenue by product                      
Product, net                 89.7 80.2 74.0
ELOCTATE                      
Revenue by product                      
Product, net                 319.7 58.4 0.0
ELOCTATE | U.S                      
Revenue by product                      
Product, net                 308.3 58.4 0.0
ELOCTATE | Rest of world                      
Revenue by product                      
Product, net                 11.4 0.0 0.0
ALPROLIX                      
Revenue by product                      
Product, net                 234.5 76.0 0.0
ALPROLIX | U.S                      
Revenue by product                      
Product, net                 208.9 72.1 0.0
ALPROLIX | Rest of world                      
Revenue by product                      
Product, net                 25.6 3.9 0.0
FUMADERM                      
Revenue by product                      
Product, net                 51.4 62.5 60.2
FUMADERM | U.S                      
Revenue by product                      
Product, net                 0.0 0.0 0.0
FUMADERM | Rest of world                      
Revenue by product                      
Product, net                 $ 51.4 $ 62.5 $ 60.2