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Financial Instruments (Details 2) (USD $)
In Millions, unless otherwise specified
Dec. 31, 2014
Dec. 31, 2013
Summary of Contractual Maturities: Available-for-Sale Securities    
Due in one year or less, Estimated Fair Value $ 640.5us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValue $ 620.2us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValue
Due in one year or less, Amortized Cost 640.8us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearAmortizedCost 620.2us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearAmortizedCost
Due after one year through five years, Estimated Fair Value 1,343.7us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue 573.1us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue
Due after one year through five years, Amortized Cost 1,345.2us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsAmortizedCost 572.9us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsAmortizedCost
Due after five years, Estimated Fair Value 126.9biib_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveYearsFairValue 52.6biib_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveYearsFairValue
Due after five years, Amortized Cost 126.8biib_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveYearsAmortizedCost 52.7biib_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveYearsAmortizedCost
Total available-for-sale securities, Fair Value 2,111.1us-gaap_AvailableForSaleSecurities 1,245.9us-gaap_AvailableForSaleSecurities
Total available-for-sale securities, Amortized Cost $ 2,112.8us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis $ 1,245.8us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis