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Income Taxes Income Taxes - Reconciliation (Details) (USD $)
In Thousands, unless otherwise specified
12 Months Ended
Jan. 03, 2015
Dec. 28, 2013
Dec. 29, 2012
Effective Income Tax Rate Reconciliation, Amount [Abstract]      
Computed expected tax expense $ 28,508us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate $ 57,287us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate $ 72,375us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate
State income taxes, net of federal benefit 228us-gaap_IncomeTaxReconciliationStateAndLocalIncomeTaxes 5,017us-gaap_IncomeTaxReconciliationStateAndLocalIncomeTaxes 7,124us-gaap_IncomeTaxReconciliationStateAndLocalIncomeTaxes
Section 199 qualified domestic production deduction 0us-gaap_IncomeTaxReconciliationDeductionsQualifiedProductionActivities 619us-gaap_IncomeTaxReconciliationDeductionsQualifiedProductionActivities 4,830us-gaap_IncomeTaxReconciliationDeductionsQualifiedProductionActivities
Change in valuation allowance 5,420us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance 507us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance 254us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance
Non-deductible compensation expenses 1,622us-gaap_IncomeTaxReconciliationNondeductibleExpense 106us-gaap_IncomeTaxReconciliationNondeductibleExpense 253us-gaap_IncomeTaxReconciliationNondeductibleExpense
Deferred tax on unremitted foreign earnings 1,956us-gaap_IncomeTaxReconciliationRepatriationOfForeignEarnings 0us-gaap_IncomeTaxReconciliationRepatriationOfForeignEarnings 0us-gaap_IncomeTaxReconciliationRepatriationOfForeignEarnings
Sub-Part F income 3,786dar_EffectiveIncomeTaxRateReconciliationSubPartFAmount 0dar_EffectiveIncomeTaxRateReconciliationSubPartFAmount 0dar_EffectiveIncomeTaxRateReconciliationSubPartFAmount
Foreign rate differential (9,754)us-gaap_IncomeTaxReconciliationForeignIncomeTaxRateDifferential 694us-gaap_IncomeTaxReconciliationForeignIncomeTaxRateDifferential 0us-gaap_IncomeTaxReconciliationForeignIncomeTaxRateDifferential
Biofuel tax incentives (22,546)dar_IncomeTaxReconciliationBiofuelTaxRefunds (9,342)dar_IncomeTaxReconciliationBiofuelTaxRefunds 0dar_IncomeTaxReconciliationBiofuelTaxRefunds
Non-deductible transaction costs 4,107us-gaap_IncomeTaxReconciliationNondeductibleExpenseOther 996us-gaap_IncomeTaxReconciliationNondeductibleExpenseOther 0us-gaap_IncomeTaxReconciliationNondeductibleExpenseOther
Other, net (186)us-gaap_IncomeTaxReconciliationOtherAdjustments 65us-gaap_IncomeTaxReconciliationOtherAdjustments 839us-gaap_IncomeTaxReconciliationOtherAdjustments
Income Tax Expense (Benefit) $ 13,141us-gaap_IncomeTaxExpenseBenefit $ 54,711us-gaap_IncomeTaxExpenseBenefit $ 76,015us-gaap_IncomeTaxExpenseBenefit