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Equity Percentage Allocations of Available Cash from Operating Surplus (Details) (USD $)
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Incentive Distribution Made to Member or Limited Partner [Line Items]      
General partner's ownership interest 2.00%us-gaap_LimitedLiabilityCompanyLLCOrLimitedPartnershipLPManagingMemberOrGeneralPartnerOwnershipInterest 2.00%us-gaap_LimitedLiabilityCompanyLLCOrLimitedPartnershipLPManagingMemberOrGeneralPartnerOwnershipInterest 2.00%us-gaap_LimitedLiabilityCompanyLLCOrLimitedPartnershipLPManagingMemberOrGeneralPartnerOwnershipInterest
Minimum quarterly distribution [Member]      
Incentive Distribution Made to Member or Limited Partner [Line Items]      
Distribution Payment Targets 0.37500dkl_DistributionPaymentTargets
/ dkl_IncentiveDistributionByTargetAxis
= dkl_MinimumQuarterlyDistributionMember
   
Minimum quarterly distribution [Member] | Limited Partner [Member]      
Incentive Distribution Made to Member or Limited Partner [Line Items]      
Marginal percentage interest in distributions 98.00%dkl_IncentiveDistributionDistributionSplitMarginalPercentage
/ dkl_IncentiveDistributionByTargetAxis
= dkl_MinimumQuarterlyDistributionMember
/ us-gaap_IncentiveDistributionMadeToManagingMemberOrGeneralPartnerAxis
= us-gaap_LimitedPartnerMember
   
Minimum quarterly distribution [Member] | General Partner      
Incentive Distribution Made to Member or Limited Partner [Line Items]      
Marginal percentage interest in distributions 2.00%dkl_IncentiveDistributionDistributionSplitMarginalPercentage
/ dkl_IncentiveDistributionByTargetAxis
= dkl_MinimumQuarterlyDistributionMember
/ us-gaap_IncentiveDistributionMadeToManagingMemberOrGeneralPartnerAxis
= us-gaap_GeneralPartnerMember
   
First target distribution [Member] | Limited Partner [Member]      
Incentive Distribution Made to Member or Limited Partner [Line Items]      
Marginal percentage interest in distributions 98.00%dkl_IncentiveDistributionDistributionSplitMarginalPercentage
/ dkl_IncentiveDistributionByTargetAxis
= dkl_FirstTargetDistributionMember
/ us-gaap_IncentiveDistributionMadeToManagingMemberOrGeneralPartnerAxis
= us-gaap_LimitedPartnerMember
   
First target distribution [Member] | General Partner      
Incentive Distribution Made to Member or Limited Partner [Line Items]      
Marginal percentage interest in distributions 2.00%dkl_IncentiveDistributionDistributionSplitMarginalPercentage
/ dkl_IncentiveDistributionByTargetAxis
= dkl_FirstTargetDistributionMember
/ us-gaap_IncentiveDistributionMadeToManagingMemberOrGeneralPartnerAxis
= us-gaap_GeneralPartnerMember
   
First target distribution [Member] | Minimum [Member]      
Incentive Distribution Made to Member or Limited Partner [Line Items]      
Distribution Payment Targets 0.37500dkl_DistributionPaymentTargets
/ dkl_IncentiveDistributionByTargetAxis
= dkl_FirstTargetDistributionMember
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
   
First target distribution [Member] | Maximum [Member]      
Incentive Distribution Made to Member or Limited Partner [Line Items]      
Distribution Payment Targets 0.43125dkl_DistributionPaymentTargets
/ dkl_IncentiveDistributionByTargetAxis
= dkl_FirstTargetDistributionMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
   
Second target distribution [Member] | Limited Partner [Member]      
Incentive Distribution Made to Member or Limited Partner [Line Items]      
Marginal percentage interest in distributions 85.00%dkl_IncentiveDistributionDistributionSplitMarginalPercentage
/ dkl_IncentiveDistributionByTargetAxis
= dkl_SecondTargetDistributionMember
/ us-gaap_IncentiveDistributionMadeToManagingMemberOrGeneralPartnerAxis
= us-gaap_LimitedPartnerMember
   
Second target distribution [Member] | General Partner      
Incentive Distribution Made to Member or Limited Partner [Line Items]      
Marginal percentage interest in distributions 15.00%dkl_IncentiveDistributionDistributionSplitMarginalPercentage
/ dkl_IncentiveDistributionByTargetAxis
= dkl_SecondTargetDistributionMember
/ us-gaap_IncentiveDistributionMadeToManagingMemberOrGeneralPartnerAxis
= us-gaap_GeneralPartnerMember
   
Second target distribution [Member] | Minimum [Member]      
Incentive Distribution Made to Member or Limited Partner [Line Items]      
Distribution Payment Targets 0.43125dkl_DistributionPaymentTargets
/ dkl_IncentiveDistributionByTargetAxis
= dkl_SecondTargetDistributionMember
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
   
Second target distribution [Member] | Maximum [Member]      
Incentive Distribution Made to Member or Limited Partner [Line Items]      
Distribution Payment Targets 0.46875dkl_DistributionPaymentTargets
/ dkl_IncentiveDistributionByTargetAxis
= dkl_SecondTargetDistributionMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
   
Third target distribution [Member] | Limited Partner [Member]      
Incentive Distribution Made to Member or Limited Partner [Line Items]      
Marginal percentage interest in distributions 75.00%dkl_IncentiveDistributionDistributionSplitMarginalPercentage
/ dkl_IncentiveDistributionByTargetAxis
= dkl_ThirdTargetDistributionMember
/ us-gaap_IncentiveDistributionMadeToManagingMemberOrGeneralPartnerAxis
= us-gaap_LimitedPartnerMember
   
Third target distribution [Member] | General Partner      
Incentive Distribution Made to Member or Limited Partner [Line Items]      
Marginal percentage interest in distributions 25.00%dkl_IncentiveDistributionDistributionSplitMarginalPercentage
/ dkl_IncentiveDistributionByTargetAxis
= dkl_ThirdTargetDistributionMember
/ us-gaap_IncentiveDistributionMadeToManagingMemberOrGeneralPartnerAxis
= us-gaap_GeneralPartnerMember
   
Third target distribution [Member] | Minimum [Member]      
Incentive Distribution Made to Member or Limited Partner [Line Items]      
Distribution Payment Targets 0.46875dkl_DistributionPaymentTargets
/ dkl_IncentiveDistributionByTargetAxis
= dkl_ThirdTargetDistributionMember
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
   
Third target distribution [Member] | Maximum [Member]      
Incentive Distribution Made to Member or Limited Partner [Line Items]      
Distribution Payment Targets 0.56250dkl_DistributionPaymentTargets
/ dkl_IncentiveDistributionByTargetAxis
= dkl_ThirdTargetDistributionMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
   
Thereafter [Member]      
Incentive Distribution Made to Member or Limited Partner [Line Items]      
Distribution Payment Targets 0.56250dkl_DistributionPaymentTargets
/ dkl_IncentiveDistributionByTargetAxis
= dkl_ThereafterMember
   
Thereafter [Member] | Limited Partner [Member]      
Incentive Distribution Made to Member or Limited Partner [Line Items]      
Marginal percentage interest in distributions 50.00%dkl_IncentiveDistributionDistributionSplitMarginalPercentage
/ dkl_IncentiveDistributionByTargetAxis
= dkl_ThereafterMember
/ us-gaap_IncentiveDistributionMadeToManagingMemberOrGeneralPartnerAxis
= us-gaap_LimitedPartnerMember
   
Thereafter [Member] | General Partner      
Incentive Distribution Made to Member or Limited Partner [Line Items]      
Marginal percentage interest in distributions 50.00%dkl_IncentiveDistributionDistributionSplitMarginalPercentage
/ dkl_IncentiveDistributionByTargetAxis
= dkl_ThereafterMember
/ us-gaap_IncentiveDistributionMadeToManagingMemberOrGeneralPartnerAxis
= us-gaap_GeneralPartnerMember