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Income Taxes (Details Textual) (USD $)
In Millions, unless otherwise specified
3 Months Ended 1 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Oct. 31, 2011
Income Tax Contingency [Line Items]      
Effective tax rate 25.60%us-gaap_EffectiveIncomeTaxRateContinuingOperations 26.80%us-gaap_EffectiveIncomeTaxRateContinuingOperations  
Notice of assessment of corporate withholding tax including penalties and interest $ 45.6us-gaap_IncomeTaxExaminationPenaltiesAndInterestAccrued    
Net benefit for a previously unrecognized position 16.4biib_NetBenefitForPreviouslyUnrecognizedPosition    
Tax Year 2007      
Income Tax Contingency [Line Items]      
Proposed deduction disallowance by tax authorities     130.0biib_ProposedDisallowanceByTaxAuthoritiesForPaymentForServices
/ us-gaap_TaxPeriodAxis
= us-gaap_TaxYear2007Member
Tax Year 2008      
Income Tax Contingency [Line Items]      
Proposed deduction disallowance by tax authorities     130.0biib_ProposedDisallowanceByTaxAuthoritiesForPaymentForServices
/ us-gaap_TaxPeriodAxis
= us-gaap_TaxYear2008Member
Tax Year 2009      
Income Tax Contingency [Line Items]      
Proposed deduction disallowance by tax authorities     $ 130.0biib_ProposedDisallowanceByTaxAuthoritiesForPaymentForServices
/ us-gaap_TaxPeriodAxis
= us-gaap_TaxYear2009Member