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Stock-Based Compensation (Details) (USD $)
6 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Jan. 27, 2014
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Proceeds from stock option plan transactions $ 6,006,000us-gaap_ProceedsFromStockOptionsExercised $ 3,209,000us-gaap_ProceedsFromStockOptionsExercised  
Total intrinsic value of all options exercised 800,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue 500,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue  
Forfeiture rate 6.00%dgii_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedForfeitureRate    
Stock Options      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Total unrecognized compensation cost nonvested awards 4,400,000us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedStockOptions
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
   
Weighted average period, unrecognized compensation cost, nonvested awards 3 years    
Restricted Stock Units      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Total unrecognized compensation cost nonvested restricted stock units 3,400,000us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedShareBasedAwardsOtherThanOptions
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
   
Weighted average period, unrecognized compensation cost, nonvested awards 1 year 8 months 12 days    
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 1,492,183us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant
/ us-gaap_PlanNameAxis
= dgii_The2014PlanMember
   
The 2014 Plan | Stock Options      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period 4 years    
Expiration period 8 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 $ 500,000dgii_ShareBasedCompensationArrangementByShareBasedPaymentAwardEmployeeWithholding
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockMember
/ us-gaap_PlanNameAxis
= dgii_EmployeeStockPurchasePlanMember
$ 600,000dgii_ShareBasedCompensationArrangementByShareBasedPaymentAwardEmployeeWithholding
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockMember
/ us-gaap_PlanNameAxis
= dgii_EmployeeStockPurchasePlanMember
 
Common shares issued to employees 72,306us-gaap_StockIssuedDuringPeriodSharesEmployeeStockPurchasePlans
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockMember
/ us-gaap_PlanNameAxis
= dgii_EmployeeStockPurchasePlanMember
65,832us-gaap_StockIssuedDuringPeriodSharesEmployeeStockPurchasePlans
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockMember
/ us-gaap_PlanNameAxis
= dgii_EmployeeStockPurchasePlanMember
 
Shares available for future issuance 669,072dgii_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    
Executives and Employees | The 2014 Plan | Restricted Stock Units      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period 4 years