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Income Taxes (Details) (USD $)
3 Months Ended 6 Months Ended
Nov. 02, 2013
May 02, 2015
Nov. 01, 2014
Income Tax Disclosure [Abstract]      
Effective Income Tax Rate Reconciliation, at Federal Statutory Income Tax Rate, Percent   35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate  
Unrecognized Tax Benefits   $ 67,801,000us-gaap_UnrecognizedTaxBenefits $ 65,464,000us-gaap_UnrecognizedTaxBenefits
Unrecognized Tax Benefits, Reduction Resulting from Lapse of Applicable Statute of Limitations   (766,000)us-gaap_UnrecognizedTaxBenefitsReductionsResultingFromLapseOfApplicableStatuteOfLimitations  
Income Taxes (Textual) [Abstract]      
Income tax examination, number of one time issues unresolved   1adi_IncomeTaxExaminationNumberOfOneTimeIssuesUnresolved  
Potential liability related to IRS adjustment 36,500,000adi_UnrecordedPotentialTaxLiabilityRelatedToIrsExaminationOpenTaxMatter    
Unrecognized Tax Benefits, Increase Resulting from Current Period Tax Positions   215,000us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromCurrentPeriodTaxPositions  
Unrecognized Tax Benefits, Increase Resulting from Prior Period Tax Positions   4,074,000us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromPriorPeriodTaxPositions  
Unrecognized Tax Benefits, Decrease Resulting from Prior Period Tax Positions   $ 1,186,000us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromSettlementsWithTaxingAuthorities