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Income Taxes (Details) (USD $)
3 Months Ended 6 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Mar. 31, 2015
Mar. 31, 2014
Sep. 30, 2014
Income Tax Disclosure [Abstract]          
Income tax provision (benefit) $ 874,000us-gaap_IncomeTaxExpenseBenefit $ (1,317,000)us-gaap_IncomeTaxExpenseBenefit $ 19,000us-gaap_IncomeTaxExpenseBenefit $ (1,241,000)us-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       (1,300,000)us-gaap_IncomeTaxReconciliationTaxCreditsResearch  
Unrecognized tax benefits that would impact effective tax rate 1,900,000us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate   1,900,000us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate    
Expected change in unrecognized tax benefits, minimum 600,000us-gaap_SignificantChangeInUnrecognizedTaxBenefitsIsReasonablyPossibleEstimatedRangeOfChangeLowerBound   600,000us-gaap_SignificantChangeInUnrecognizedTaxBenefitsIsReasonablyPossibleEstimatedRangeOfChangeLowerBound    
Income tax penalties and interest accrued 400,000us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestAccrued   400,000us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestAccrued   423,000us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestAccrued
Accumulated undistributed foreign earnings 26,000,000us-gaap_UndistributedEarningsOfForeignSubsidiaries   26,000,000us-gaap_UndistributedEarningsOfForeignSubsidiaries    
Income Tax Contingency [Line Items]          
Unrecognized tax benefits 1,883,000us-gaap_UnrecognizedTaxBenefits   1,883,000us-gaap_UnrecognizedTaxBenefits   2,301,000us-gaap_UnrecognizedTaxBenefits
Minimum [Member]          
Income Tax Contingency [Line Items]          
Estimate of unrecognized deferred tax liability 500,000us-gaap_DeferredTaxLiabilityNotRecognizedAmountOfUnrecognizedDeferredTaxLiabilityUndistributedEarningsOfForeignSubsidiaries
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
  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
  1,500,000us-gaap_DeferredTaxLiabilityNotRecognizedAmountOfUnrecognizedDeferredTaxLiabilityUndistributedEarningsOfForeignSubsidiaries
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
   
Non-current income taxes payable          
Income Tax Contingency [Line Items]          
Unrecognized tax benefits 1,500,000us-gaap_UnrecognizedTaxBenefits
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherNoncurrentLiabilitiesMember
  1,500,000us-gaap_UnrecognizedTaxBenefits
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherNoncurrentLiabilitiesMember
   
Non-current deferred tax assets          
Income Tax Contingency [Line Items]          
Unrecognized tax benefits $ 400,000us-gaap_UnrecognizedTaxBenefits
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherNoncurrentAssetsMember
  $ 400,000us-gaap_UnrecognizedTaxBenefits
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherNoncurrentAssetsMember