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Income Taxes (Details) (USD $)
3 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Sep. 30, 2014
Income Tax Disclosure [Abstract]      
Income tax (benefit) provision $ (855,000)us-gaap_IncomeTaxExpenseBenefit $ 76,000us-gaap_IncomeTaxExpenseBenefit  
Income tax expense (benefit) specific to the period (500,000)dgii_IncomeTaxExpenseBenefitSpecifictothePeriod    
Net tax benefit mostly related to research and development tax credits   (200,000)us-gaap_IncomeTaxReconciliationTaxCreditsResearch  
Unrecognized tax benefits that would impact effective tax rate 2,100,000us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate    
Expected change in unrecognized tax benefits, minimum 400,000us-gaap_SignificantChangeInUnrecognizedTaxBenefitsIsReasonablyPossibleEstimatedRangeOfChangeLowerBound    
Income tax penalties and interest accrued 440,000us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestAccrued   423,000us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestAccrued
Accumulated undistributed foreign earnings 25,000,000us-gaap_UndistributedEarningsOfForeignSubsidiaries    
Minimum [Member]      
Income Tax Contingency [Line Items]      
Estimate of unrecognized deferred tax liability 500,000us-gaap_DeferredTaxLiabilityNotRecognizedAmountOfUnrecognizedDeferredTaxLiabilityUndistributedEarningsOfForeignSubsidiaries
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
   
Maximum      
Income Tax Contingency [Line Items]      
Estimate of unrecognized deferred tax liability $ 1,500,000us-gaap_DeferredTaxLiabilityNotRecognizedAmountOfUnrecognizedDeferredTaxLiabilityUndistributedEarningsOfForeignSubsidiaries
/ us-gaap_RangeAxis
= us-gaap_MaximumMember