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INCOME TAXES (Details 3) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Dec. 31, 2014
item
Dec. 31, 2013
Dec. 31, 2012
Dec. 31, 2011
Income Tax Disclosure [Abstract]        
Statutory U.S. federal income tax rate 35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate      
Deferred tax assets, valuation allowance $ 12.9us-gaap_DeferredTaxAssetsValuationAllowance $ 31.1us-gaap_DeferredTaxAssetsValuationAllowance    
State net operating loss carryforwards 33.9us-gaap_DeferredTaxAssetsOperatingLossCarryforwardsStateAndLocal      
Foreign net operating loss carryforwards 7.0us-gaap_DeferredTaxAssetsOperatingLossCarryforwardsForeign      
Net operating loss carryforwards, beginning expiration year 2015      
Research and development credit carry forward 34.4us-gaap_DeferredTaxAssetsTaxCreditCarryforwardsResearch 7.3us-gaap_DeferredTaxAssetsTaxCreditCarryforwardsResearch    
Research and development credit carry forward, beginning expiration year 2015      
Research and development credit carry forward, ending expiration year 2029      
Earnings from foreign subsidiaries that residual U.S. income taxes is not provided 440us-gaap_ForeignEarningsRepatriated      
Cumulative unrealized tax deductions related to stock option exercises and vested restricted shares 13.7beav_TaxBenefitFromStockOptionsExercisedAndVestingOfRestrictedStockAwardsAndUnits      
Realized tax deductions related to stock option exercises and vested restricted shares 3.5us-gaap_AdjustmentsToAdditionalPaidInCapitalShareBasedCompensationRestrictedStockUnitsRequisiteServicePeriodRecognition      
Gross uncertain tax position 75.7us-gaap_UnrecognizedTaxBenefits 47.5us-gaap_UnrecognizedTaxBenefits 34.6us-gaap_UnrecognizedTaxBenefits 21.7us-gaap_UnrecognizedTaxBenefits
Liability for unrecognized tax benefits that would affect effective tax rate, if recognized 73.2us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate      
Number of tax years the company is currently open to audit by tax authorities 8beav_NumberOfTaxableYearsOpenForTaxAudit      
Liability for unrecognized tax benefits for interest and penalties 2.0us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestAccrued      
income tax receivables $ 82.6us-gaap_IncomeTaxReceivable $ 6.2us-gaap_IncomeTaxReceivable