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Revenues Revenues by Product (Details) - USD ($)
$ in Millions
3 Months Ended
Mar. 31, 2018
Mar. 31, 2017
Disaggregation of Revenue [Line Items]    
Product, net $ 2,523.5 $ 2,380.1
U.S.    
Disaggregation of Revenue [Line Items]    
Product, net 1,538.0 1,631.0
Rest of world    
Disaggregation of Revenue [Line Items]    
Product, net 985.5 749.1
TECFIDERA    
Disaggregation of Revenue [Line Items]    
Product, net 986.9 958.2
TECFIDERA | U.S.    
Disaggregation of Revenue [Line Items]    
Product, net 728.9 751.1
TECFIDERA | Rest of world    
Disaggregation of Revenue [Line Items]    
Product, net 258.0 207.1
Interferon    
Disaggregation of Revenue [Line Items]    
Product, net 550.3 648.3
Interferon | U.S.    
Disaggregation of Revenue [Line Items]    
Product, net 371.4 464.8
Interferon | Rest of world    
Disaggregation of Revenue [Line Items]    
Product, net 178.9 183.5
TYSABRI    
Disaggregation of Revenue [Line Items]    
Product, net 462.1 545.0
TYSABRI | U.S.    
Disaggregation of Revenue [Line Items]    
Product, net 249.7 305.5
TYSABRI | Rest of world    
Disaggregation of Revenue [Line Items]    
Product, net 212.4 239.5
FAMPYRA    
Disaggregation of Revenue [Line Items]    
Product, net 24.4 20.5
FAMPYRA | U.S.    
Disaggregation of Revenue [Line Items]    
Product, net 0.0 0.0
FAMPYRA | Rest of world    
Disaggregation of Revenue [Line Items]    
Product, net 24.4 20.5
ZINBRYTA    
Disaggregation of Revenue [Line Items]    
Product, net 1.4 10.7
ZINBRYTA | U.S.    
Disaggregation of Revenue [Line Items]    
Product, net 0.0 0.0
ZINBRYTA | Rest of world    
Disaggregation of Revenue [Line Items]    
Product, net 1.4 10.7
SPINRAZA    
Disaggregation of Revenue [Line Items]    
Product, net 363.9 47.4
SPINRAZA | U.S.    
Disaggregation of Revenue [Line Items]    
Product, net 188.0 46.4
SPINRAZA | Rest of world    
Disaggregation of Revenue [Line Items]    
Product, net 175.9 1.0
ELOCTATE    
Disaggregation of Revenue [Line Items]    
Product, net 0.0 48.4
ELOCTATE | U.S.    
Disaggregation of Revenue [Line Items]    
Product, net 0.0 42.2
ELOCTATE | Rest of world    
Disaggregation of Revenue [Line Items]    
Product, net 0.0 6.2
ALPROLIX    
Disaggregation of Revenue [Line Items]    
Product, net 0.0 26.0
ALPROLIX | U.S.    
Disaggregation of Revenue [Line Items]    
Product, net 0.0 21.0
ALPROLIX | Rest of world    
Disaggregation of Revenue [Line Items]    
Product, net 0.0 5.0
FUMADERM    
Disaggregation of Revenue [Line Items]    
Product, net 7.0 9.7
FUMADERM | U.S.    
Disaggregation of Revenue [Line Items]    
Product, net 0.0 0.0
FUMADERM | Rest of world    
Disaggregation of Revenue [Line Items]    
Product, net 7.0 9.7
BENEPALI    
Disaggregation of Revenue [Line Items]    
Product, net 120.9 65.3
BENEPALI | U.S.    
Disaggregation of Revenue [Line Items]    
Product, net 0.0 0.0
BENEPALI | Rest of world    
Disaggregation of Revenue [Line Items]    
Product, net 120.9 65.3
FLIXABI    
Disaggregation of Revenue [Line Items]    
Product, net 6.6 0.6
FLIXABI | U.S.    
Disaggregation of Revenue [Line Items]    
Product, net 0.0 0.0
FLIXABI | Rest of world    
Disaggregation of Revenue [Line Items]    
Product, net $ 6.6 $ 0.6