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Revenues by Product (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Dec. 31, 2019
Sep. 30, 2019
Jun. 30, 2019
Mar. 31, 2019
Dec. 31, 2018
Sep. 30, 2018
Jun. 30, 2018
Mar. 31, 2018
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Disaggregation of Revenue [Line Items]                      
Product Revenues $ 3,671.3 $ 3,600.1 $ 3,616.7 $ 3,489.8 $ 3,526.3 $ 3,439.0 $ 3,356.5 $ 3,131.1 $ 14,377.9 $ 13,452.9 $ 12,273.9
TECFIDERA                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 4,432.7 4,274.1 4,214.0
Interferon                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 2,101.8 2,363.0 2,645.8
TYSABRI                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 1,892.2 1,864.0 1,973.1
VUMERITY                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 5.5 0.0 0.0
FAMPYRA                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 97.1 92.7 91.6
ZINBRYTA                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 0.0 1.4 52.7
MS Product Revenues                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 8,529.3 8,595.2 8,977.2
SPINRAZA                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 2,097.0 1,724.2 883.7
BENEPALI                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 486.2 485.2 370.8
FLIXABI                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 68.1 43.2 9.0
IMRALDI                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 184.0 16.7 0.0
Biosimilars                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 738.3 545.1 379.8
FUMADERM                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 15.2 22.3 39.6
ELOCTATE                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 0.0 0.0 48.4
ALPROLIX                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 0.0 0.0 26.0
Hemophilia Products                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 0.0 0.0 74.4
Product, net                      
Disaggregation of Revenue [Line Items]                      
Product Revenues $ 2,924.8 $ 2,894.7 $ 2,880.3 $ 2,680.0 $ 2,825.7 $ 2,780.1 $ 2,757.5 $ 2,523.5 11,379.8 10,886.8 10,354.7
U.S | TECFIDERA                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 3,306.5 3,253.2 3,294.0
U.S | Interferon                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 1,426.6 1,668.3 1,889.1
U.S | TYSABRI                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 1,041.8 1,025.0 1,113.8
U.S | VUMERITY                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 5.5 0.0 0.0
U.S | FAMPYRA                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 0.0 0.0 0.0
U.S | ZINBRYTA                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 0.0 0.0 0.0
U.S | MS Product Revenues                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 5,780.4 5,946.5 6,296.9
U.S | SPINRAZA                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 933.4 854.0 657.0
U.S | BENEPALI                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 0.0 0.0 0.0
U.S | FLIXABI                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 0.0 0.0 0.0
U.S | IMRALDI                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 0.0 0.0 0.0
U.S | Biosimilars                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 0.0 0.0 0.0
U.S | FUMADERM                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 0.0 0.0 0.0
U.S | ELOCTATE                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 0.0 0.0 42.2
U.S | ALPROLIX                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 0.0 0.0 21.0
U.S | Hemophilia Products                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 0.0 0.0 63.2
U.S | Product, net                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 6,713.8 6,800.5 7,017.1
Rest of world | TECFIDERA                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 1,126.2 1,020.9 920.0
Rest of world | Interferon                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 675.2 694.7 756.7
Rest of world | TYSABRI                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 850.4 839.0 859.3
Rest of world | VUMERITY                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 0.0 0.0 0.0
Rest of world | FAMPYRA                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 97.1 92.7 91.6
Rest of world | ZINBRYTA                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 0.0 1.4 52.7
Rest of world | MS Product Revenues                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 2,748.9 2,648.7 2,680.3
Rest of world | SPINRAZA                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 1,163.6 870.2 226.7
Rest of world | BENEPALI                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 486.2 485.2 370.8
Rest of world | FLIXABI                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 68.1 43.2 9.0
Rest of world | IMRALDI                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 184.0 16.7 0.0
Rest of world | Biosimilars                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 738.3 545.1 379.8
Rest of world | FUMADERM                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 15.2 22.3 39.6
Rest of world | ELOCTATE                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 0.0 0.0 6.2
Rest of world | ALPROLIX                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 0.0 0.0 5.0
Rest of world | Hemophilia Products                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 0.0 0.0 11.2
Rest of world | Product, net                      
Disaggregation of Revenue [Line Items]                      
Product Revenues                 $ 4,666.0 $ 4,086.3 $ 3,337.6