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Income Taxes (Details) (USD $)
3 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Activity relating to the Company's unrecognized tax benefits    
Balance at the beginning of the period $ 16,387,000us-gaap_UnrecognizedTaxBenefits  
Gross increases related to current period tax positions 154,000us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromCurrentPeriodTaxPositions  
Balance at the end of the period 16,541,000us-gaap_UnrecognizedTaxBenefits  
Unrecognized tax benefits relating to state research credits 200,000advs_UnrecognizedTaxBenefitsIncreasesResultingFromResearchAndEnterpriseZoneCredits  
Portion of unrecognized tax benefits, if recognized would decrease the entity's tax provision and increase net income 13,600,000us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate  
Effective income tax rate (as a percent) 45.00%us-gaap_EffectiveIncomeTaxRateContinuingOperations 36.00%us-gaap_EffectiveIncomeTaxRateContinuingOperations
Correction of error in income tax expense recorded 900,000us-gaap_IncomeTaxReconciliationOtherAdjustments  
Provision made for undistributed earnings of foreign subsidiaries 0us-gaap_DeferredTaxLiabilityNotRecognizedAmountOfUnrecognizedDeferredTaxLiabilityUndistributedEarningsOfForeignSubsidiaries  
Undistributed earnings for non-U.S. subsidiaries which are deemed to be permanently reinvested $ 27,900,000us-gaap_UndistributedEarningsOfForeignSubsidiaries