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Stockholders' Equity and Stock-Based Compensation (Details) (USD $)
0 Months Ended 12 Months Ended 0 Months Ended
Mar. 04, 2014
Jan. 03, 2015
Dec. 28, 2013
Dec. 29, 2012
Sep. 25, 2014
May 06, 2014
Sep. 08, 2014
Jun. 19, 2014
Jun. 04, 2014
Jun. 03, 2014
Aug. 05, 2013
Mar. 05, 2013
Sep. 01, 2012
May 08, 2012
Mar. 06, 2012
Summary of stock option activity [Roll Forward]                              
Options outstanding at the beginning of year   906,251us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber                          
Options outstanding at the beginning of year, Weighted-average exercise price per share   $ 9.97us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice                          
Granted (in shares)   163,078us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross                          
Granted, Weighted-average exercise price per share $ 19.94us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageExercisePrice                            
Exercised (in shares)   (343,550)us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised                          
Exercised, Weighted-average exercise price per share   $ 6.18us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsExercisesInPeriodWeightedAverageExercisePrice                          
Forfeited (in shares)   (29,603)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresInPeriod                          
Forfeited, Weighted-average exercise price per share   $ 16.89us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsForfeituresInPeriodWeightedAverageExercisePrice                          
Expired (in shares)   0us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExpirationsInPeriod                          
Expired, Weighted average exercise price per share   $ 0.00us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsExpirationsInPeriodWeightedAverageExercisePrice                          
Options outstanding at the end of year   696,176us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber 906,251us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber                        
Options outstanding at the end of year, Weighted-average exercise price per share   $ 13.88us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice $ 9.97us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice                        
Options outstanding, Weighted-average remaining contractual life (in years)   6 years 2 months 12 days                          
Options exercisable (in shares)   528,009us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableNumber                          
Options exercisable, Weighted-average exercise price per share   $ 12.50us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableWeightedAverageExercisePrice                          
Options exercisable, Weighted-average remaining contractual life (in years)   5 years 6 months                          
Fair value assumptions [Abstract]                              
Expected dividend yield   0.00%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate 0.00%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate 0.00%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate                      
Risk-free interest rate   1.77%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate 1.01%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate 1.14%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate                      
Expected term   5 years 9 months 5 years 9 months 5 years 9 months                      
Expected volatility   43.70%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate 59.80%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate 62.00%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate                      
Fair value of options granted   $ 8.93us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue $ 9.04us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue $ 9.16us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue                      
Director Restricted Stock Plan [Member]                              
Summary of stock option activity [Roll Forward]                              
Granted (in shares)         2,998us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross
/ us-gaap_AwardTypeAxis
= dar_DirectorRestrictedStockPlanMember
22,680us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross
/ us-gaap_AwardTypeAxis
= dar_DirectorRestrictedStockPlanMember
                 
Summary of non-vested and restricted stock awards [Roll Forward]                              
Stock awards outstanding at the beginning of year (in shares)   130,238us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber
/ us-gaap_AwardTypeAxis
= dar_DirectorRestrictedStockPlanMember
                         
Stock awards outstanding at the beginning of year, Weighted Average Grant Date Fair Value (in dollars per share)   $ 10.75us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= dar_DirectorRestrictedStockPlanMember
                         
Shares granted   25,678us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= dar_DirectorRestrictedStockPlanMember
                         
Shares granted, Weighted Average Grant Date Fair Value (in dollars per share)   $ 19.67us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= dar_DirectorRestrictedStockPlanMember
                         
Restricted shares where the restriction lapsed   0dar_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsRestrictionsLapsed
/ us-gaap_AwardTypeAxis
= dar_DirectorRestrictedStockPlanMember
                         
Restrictions Lapsed, Weighted Average Grant Date Fair Value (in dollars per share)   $ 0.00dar_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsRestrictionsLapsedWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= dar_DirectorRestrictedStockPlanMember
                         
Shares forfeited   0us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeitedInPeriod
/ us-gaap_AwardTypeAxis
= dar_DirectorRestrictedStockPlanMember
                         
Shares forfeited, Weighted Average Grant Date Fair Value (in dollars per share)   $ 0.00us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeituresWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= dar_DirectorRestrictedStockPlanMember
                         
Stock awards outstanding at the end of year (in shares)   155,916us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber
/ us-gaap_AwardTypeAxis
= dar_DirectorRestrictedStockPlanMember
                         
Stock awards outstanding at the end of year, Weighted Average Grant Date Fair Value (in dollars per share)   $ 12.22us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= dar_DirectorRestrictedStockPlanMember
                         
Stock Awards [Member]                              
Summary of non-vested and restricted stock awards [Roll Forward]                              
Stock awards outstanding at the beginning of year (in shares)   821,207us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber
/ us-gaap_AwardTypeAxis
= dar_StockAwardsMember
                         
Stock awards outstanding at the beginning of year, Weighted Average Grant Date Fair Value (in dollars per share)   $ 14.93us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= dar_StockAwardsMember
                         
Shares granted 424,158us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= dar_StockAwardsMember
1,436,658us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= dar_StockAwardsMember
      3,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= dar_StockAwardsMember
4,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= dar_StockAwardsMember
17,500us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= dar_StockAwardsMember
7,500us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= dar_StockAwardsMember
  24,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= dar_StockAwardsMember
495,575us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= dar_StockAwardsMember
50,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= dar_StockAwardsMember
5,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= dar_StockAwardsMember
375,041us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= dar_StockAwardsMember
Shares granted, Weighted Average Grant Date Fair Value (in dollars per share)   $ 20.73us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= dar_StockAwardsMember
                         
Shares vested (106,042)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod
/ us-gaap_AwardTypeAxis
= dar_StockAwardsMember
(861,772)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod
/ us-gaap_AwardTypeAxis
= dar_StockAwardsMember
      (750)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod
/ us-gaap_AwardTypeAxis
= dar_StockAwardsMember
(1,000)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod
/ us-gaap_AwardTypeAxis
= dar_StockAwardsMember
(4,375)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod
/ us-gaap_AwardTypeAxis
= dar_StockAwardsMember
(1,875)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod
/ us-gaap_AwardTypeAxis
= dar_StockAwardsMember
(1,375)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod
/ us-gaap_AwardTypeAxis
= dar_StockAwardsMember
(8,000)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod
/ us-gaap_AwardTypeAxis
= dar_StockAwardsMember
(123,894)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod
/ us-gaap_AwardTypeAxis
= dar_StockAwardsMember
(25,000)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod
/ us-gaap_AwardTypeAxis
= dar_StockAwardsMember
(1,250)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod
/ us-gaap_AwardTypeAxis
= dar_StockAwardsMember
(93,761)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod
/ us-gaap_AwardTypeAxis
= dar_StockAwardsMember
Shares vested, Weighted Average Grant Date Fair Value (in dollars per share)   $ 16.43us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= dar_StockAwardsMember
                         
Shares forfeited   (138,920)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeitedInPeriod
/ us-gaap_AwardTypeAxis
= dar_StockAwardsMember
                         
Shares forfeited, Weighted Average Grant Date Fair Value (in dollars per share)   $ 19.90us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeituresWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= dar_StockAwardsMember
                         
Stock awards outstanding at the end of year (in shares)   1,257,173us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber
/ us-gaap_AwardTypeAxis
= dar_StockAwardsMember
                         
Stock awards outstanding at the end of year, Weighted Average Grant Date Fair Value (in dollars per share)   $ 19.98us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= dar_StockAwardsMember