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Financial Instruments (Details 2) (USD $)
In Millions, unless otherwise specified
Mar. 31, 2015
Dec. 31, 2014
Summary of Contractual Maturities: Available-for-Sale Securities    
Due in one year or less, estimated fair value $ 673.9us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValue $ 640.5us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValue
Due in one year or less, amortized cost 674.0us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearAmortizedCost 640.8us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearAmortizedCost
Due after one year through five years, Estimated Fair Value 1,252.0us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue 1,343.7us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue
Due after one year through five years, Amortized Cost 1,251.0us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsAmortizedCost 1,345.2us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsAmortizedCost
Due after five years, estimated fair value 125.3biib_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveYearsFairValue 126.9biib_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveYearsFairValue
Due after five years, amortized cost 125.1biib_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveYearsAmortizedCost 126.8biib_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveYearsAmortizedCost
Total available-for-sale securities, Fair Value 2,051.2us-gaap_AvailableForSaleSecurities 2,111.1us-gaap_AvailableForSaleSecurities
Total available-for-sale securities, Amortized Cost $ 2,050.1us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis $ 2,112.8us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis