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Income Taxes (Details 1) (USD $)
In Millions, unless otherwise specified
Dec. 31, 2014
Dec. 31, 2013
Components of deferred tax assets and liabilities    
Tax credits $ 69.0us-gaap_DeferredTaxAssetsTaxCreditCarryforwards $ 64.1us-gaap_DeferredTaxAssetsTaxCreditCarryforwards
Inventory, other reserves, and accruals 217.3us-gaap_DeferredTaxAssetsInventory 169.6us-gaap_DeferredTaxAssetsInventory
Intangibles, net 251.7us-gaap_DeferredTaxAssetsGoodwillAndIntangibleAssets 124.2us-gaap_DeferredTaxAssetsGoodwillAndIntangibleAssets
Net operating loss 20.6us-gaap_DeferredTaxAssetsOperatingLossCarryforwards 14.7us-gaap_DeferredTaxAssetsOperatingLossCarryforwards
Share-based compensation 86.0us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsShareBasedCompensationCost 85.0us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsShareBasedCompensationCost
Other 60.0us-gaap_DeferredTaxAssetsOther 84.8us-gaap_DeferredTaxAssetsOther
Valuation allowance (11.5)us-gaap_DeferredTaxAssetsValuationAllowance (1.5)us-gaap_DeferredTaxAssetsValuationAllowance
Total deferred tax assets 693.1us-gaap_DeferredTaxAssetsNet 540.9us-gaap_DeferredTaxAssetsNet
Purchased intangible assets (432.8)us-gaap_DeferredTaxLiabilitiesGoodwillAndIntangibleAssetsIntangibleAssets (550.8)us-gaap_DeferredTaxLiabilitiesGoodwillAndIntangibleAssetsIntangibleAssets
Unrealized gain on investments and cumulative translation adjustment 0biib_DeferredTaxLiabilitiesUnrealizedGainOnInvestmentsAndCumulativeTranslationAdjustment (3.2)biib_DeferredTaxLiabilitiesUnrealizedGainOnInvestmentsAndCumulativeTranslationAdjustment
Inventory (1.1)us-gaap_DeferredTaxLiabilitiesDeferredExpenseCapitalizedInventoryCosts (24.9)us-gaap_DeferredTaxLiabilitiesDeferredExpenseCapitalizedInventoryCosts
Depreciation, amortization and other (105.9)biib_DeferredTaxLiabilitiesDepreciationAmortizationOther (112.6)biib_DeferredTaxLiabilitiesDepreciationAmortizationOther
Total deferred tax liabilities $ 539.8us-gaap_DeferredTaxLiabilities $ 691.5us-gaap_DeferredTaxLiabilities