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Equity Incentive Distribution Rights (Details) (USD $)
3 Months Ended
Mar. 31, 2015
Minimum quarterly distribution [Member]  
Incentive Distribution Made to Managing Member or General Partner [Line Items]  
Distribution Payment Targets $ 0.37500dkl_DistributionPaymentTargets
/ dkl_IncentiveDistributionByTargetAxis
= dkl_MinimumQuarterlyDistributionMember
Minimum quarterly distribution [Member] | Limited Partner [Member]  
Incentive Distribution Made to Managing Member or General Partner [Line Items]  
Incentive Distribution Distribution Split Marginal Percentage 98.00%dkl_IncentiveDistributionDistributionSplitMarginalPercentage
/ dkl_IncentiveDistributionByTargetAxis
= dkl_MinimumQuarterlyDistributionMember
/ us-gaap_IncentiveDistributionMadeToManagingMemberOrGeneralPartnerAxis
= us-gaap_LimitedPartnerMember
Minimum quarterly distribution [Member] | General Partner [Member]  
Incentive Distribution Made to Managing Member or General Partner [Line Items]  
Incentive Distribution Distribution Split Marginal Percentage 2.00%dkl_IncentiveDistributionDistributionSplitMarginalPercentage
/ dkl_IncentiveDistributionByTargetAxis
= dkl_MinimumQuarterlyDistributionMember
/ us-gaap_IncentiveDistributionMadeToManagingMemberOrGeneralPartnerAxis
= us-gaap_GeneralPartnerMember
First target distribution [Member] | Minimum [Member]  
Incentive Distribution Made to Managing Member or General 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 Managing Member or General Partner [Line Items]  
Distribution Payment Targets $ 0.43125dkl_DistributionPaymentTargets
/ dkl_IncentiveDistributionByTargetAxis
= dkl_FirstTargetDistributionMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
First target distribution [Member] | Limited Partner [Member]  
Incentive Distribution Made to Managing Member or General Partner [Line Items]  
Incentive Distribution Distribution Split Marginal Percentage 98.00%dkl_IncentiveDistributionDistributionSplitMarginalPercentage
/ dkl_IncentiveDistributionByTargetAxis
= dkl_FirstTargetDistributionMember
/ us-gaap_IncentiveDistributionMadeToManagingMemberOrGeneralPartnerAxis
= us-gaap_LimitedPartnerMember
First target distribution [Member] | General Partner [Member]  
Incentive Distribution Made to Managing Member or General Partner [Line Items]  
Incentive Distribution Distribution Split Marginal Percentage 2.00%dkl_IncentiveDistributionDistributionSplitMarginalPercentage
/ dkl_IncentiveDistributionByTargetAxis
= dkl_FirstTargetDistributionMember
/ us-gaap_IncentiveDistributionMadeToManagingMemberOrGeneralPartnerAxis
= us-gaap_GeneralPartnerMember
Second target distribution [Member] | Minimum [Member]  
Incentive Distribution Made to Managing Member or General 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 Managing Member or General Partner [Line Items]  
Distribution Payment Targets $ 0.46875dkl_DistributionPaymentTargets
/ dkl_IncentiveDistributionByTargetAxis
= dkl_SecondTargetDistributionMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
Second target distribution [Member] | Limited Partner [Member]  
Incentive Distribution Made to Managing Member or General Partner [Line Items]  
Incentive Distribution Distribution Split Marginal Percentage 85.00%dkl_IncentiveDistributionDistributionSplitMarginalPercentage
/ dkl_IncentiveDistributionByTargetAxis
= dkl_SecondTargetDistributionMember
/ us-gaap_IncentiveDistributionMadeToManagingMemberOrGeneralPartnerAxis
= us-gaap_LimitedPartnerMember
Second target distribution [Member] | General Partner [Member]  
Incentive Distribution Made to Managing Member or General Partner [Line Items]  
Incentive Distribution Distribution Split Marginal Percentage 15.00%dkl_IncentiveDistributionDistributionSplitMarginalPercentage
/ dkl_IncentiveDistributionByTargetAxis
= dkl_SecondTargetDistributionMember
/ us-gaap_IncentiveDistributionMadeToManagingMemberOrGeneralPartnerAxis
= us-gaap_GeneralPartnerMember
Third target distribution [Member] | Minimum [Member]  
Incentive Distribution Made to Managing Member or General 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 Managing Member or General Partner [Line Items]  
Distribution Payment Targets $ 0.56250dkl_DistributionPaymentTargets
/ dkl_IncentiveDistributionByTargetAxis
= dkl_ThirdTargetDistributionMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
Third target distribution [Member] | Limited Partner [Member]  
Incentive Distribution Made to Managing Member or General Partner [Line Items]  
Incentive Distribution Distribution Split Marginal Percentage 75.00%dkl_IncentiveDistributionDistributionSplitMarginalPercentage
/ dkl_IncentiveDistributionByTargetAxis
= dkl_ThirdTargetDistributionMember
/ us-gaap_IncentiveDistributionMadeToManagingMemberOrGeneralPartnerAxis
= us-gaap_LimitedPartnerMember
Third target distribution [Member] | General Partner [Member]  
Incentive Distribution Made to Managing Member or General Partner [Line Items]  
Incentive Distribution Distribution Split Marginal Percentage 25.00%dkl_IncentiveDistributionDistributionSplitMarginalPercentage
/ dkl_IncentiveDistributionByTargetAxis
= dkl_ThirdTargetDistributionMember
/ us-gaap_IncentiveDistributionMadeToManagingMemberOrGeneralPartnerAxis
= us-gaap_GeneralPartnerMember
Thereafter [Member]  
Incentive Distribution Made to Managing Member or General Partner [Line Items]  
Distribution Payment Targets $ 0.56250dkl_DistributionPaymentTargets
/ dkl_IncentiveDistributionByTargetAxis
= dkl_ThereafterMember
Thereafter [Member] | Limited Partner [Member]  
Incentive Distribution Made to Managing Member or General Partner [Line Items]  
Incentive Distribution Distribution Split Marginal Percentage 50.00%dkl_IncentiveDistributionDistributionSplitMarginalPercentage
/ dkl_IncentiveDistributionByTargetAxis
= dkl_ThereafterMember
/ us-gaap_IncentiveDistributionMadeToManagingMemberOrGeneralPartnerAxis
= us-gaap_LimitedPartnerMember
Thereafter [Member] | General Partner [Member]  
Incentive Distribution Made to Managing Member or General Partner [Line Items]  
Incentive Distribution Distribution Split Marginal Percentage 50.00%dkl_IncentiveDistributionDistributionSplitMarginalPercentage
/ dkl_IncentiveDistributionByTargetAxis
= dkl_ThereafterMember
/ us-gaap_IncentiveDistributionMadeToManagingMemberOrGeneralPartnerAxis
= us-gaap_GeneralPartnerMember