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Stock-Based Compensation (Details) (USD $)
3 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Jan. 27, 2014
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Proceeds from stock option plan transactions $ 9,000us-gaap_ProceedsFromStockOptionsExercised $ 2,813,000us-gaap_ProceedsFromStockOptionsExercised  
Excess tax benefits from stock-based compensation 0us-gaap_ExcessTaxBenefitFromShareBasedCompensationFinancingActivities (20,000)us-gaap_ExcessTaxBenefitFromShareBasedCompensationFinancingActivities  
Total intrinsic value of all options exercised   400,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue  
Forfeiture rate 6.00%dgii_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedForfeitureRate    
Stock Options      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Weighted Average Remaining Contractual Term 4 years 8 months 12 days    
Total unrecognized compensation cost nonvested awards 5,300,000us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedStockOptions
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
   
Weighted average period, unrecognized compensation cost, nonvested awards 3 years 2 months 12 days    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Exercisable, Weighted Average Remaining Contractual Term 3 years 8 months 12 days    
Restricted Stock Units      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Weighted average period, unrecognized compensation cost, nonvested awards 1 year 9 months 18 days    
Employee Service Share-based Compensation, Nonvested Awards, Compensation Not yet Recognized, Share-based Awards Other than Options 3,600,000us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedShareBasedAwardsOtherThanOptions
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
   
The 2014 Plan      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Number of shares authorized     2,250,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized
/ us-gaap_PlanNameAxis
= dgii_The2014PlanMember
Number of shares available for future grants 372,572us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant
/ us-gaap_PlanNameAxis
= dgii_The2014PlanMember
   
The 2014 Plan | Stock Options      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Expiration period 8 years    
Vesting period 4 years    
The Purchase Plan | The Purchase Plan      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Number of continuous days of service 90 days    
Number of hours per week employed 20 hours    
Percent of market value 85.00%us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardPurchasePriceOfCommonStockPercent
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockMember
/ us-gaap_PlanNameAxis
= dgii_EmployeeStockPurchasePlanMember
   
Offering period 3 months    
Employee contributions $ 261,000dgii_ShareBasedCompensationArrangementByShareBasedPaymentAwardEmployeeWithholding
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockMember
/ us-gaap_PlanNameAxis
= dgii_EmployeeStockPurchasePlanMember
$ 296,000dgii_ShareBasedCompensationArrangementByShareBasedPaymentAwardEmployeeWithholding
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockMember
/ us-gaap_PlanNameAxis
= dgii_EmployeeStockPurchasePlanMember
 
Common shares issued to employees 40,950us-gaap_StockIssuedDuringPeriodSharesEmployeeStockPurchasePlans
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockMember
/ us-gaap_PlanNameAxis
= dgii_EmployeeStockPurchasePlanMember
35,048us-gaap_StockIssuedDuringPeriodSharesEmployeeStockPurchasePlans
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockMember
/ us-gaap_PlanNameAxis
= dgii_EmployeeStockPurchasePlanMember
 
Shares available for future issuance 700,428dgii_ShareBasedCompensationEmployeeStockPurchasePlanSharesAvailableForFuturePurchase
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockMember
/ us-gaap_PlanNameAxis
= dgii_EmployeeStockPurchasePlanMember
   
Director | The 2014 Plan | Restricted Stock Units      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period 1 year    
Executive Officer | The 2014 Plan | Restricted Stock Units      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period 3 years