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Income taxes (Detail) (USD $)
12 Months Ended
Jan. 30, 2015
Jan. 31, 2014
Feb. 01, 2013
Current:      
Federal $ 543,089,000us-gaap_CurrentFederalTaxExpenseBenefit $ 530,728,000us-gaap_CurrentFederalTaxExpenseBenefit $ 457,370,000us-gaap_CurrentFederalTaxExpenseBenefit
Foreign 1,245,000us-gaap_CurrentForeignTaxExpenseBenefit 1,324,000us-gaap_CurrentForeignTaxExpenseBenefit 1,209,000us-gaap_CurrentForeignTaxExpenseBenefit
State 81,816,000us-gaap_CurrentStateAndLocalTaxExpenseBenefit 101,174,000us-gaap_CurrentStateAndLocalTaxExpenseBenefit 78,025,000us-gaap_CurrentStateAndLocalTaxExpenseBenefit
Total current income taxes 626,150,000us-gaap_CurrentIncomeTaxExpenseBenefit 633,226,000us-gaap_CurrentIncomeTaxExpenseBenefit 536,604,000us-gaap_CurrentIncomeTaxExpenseBenefit
Deferred:      
Federal (7,697,000)us-gaap_DeferredFederalIncomeTaxExpenseBenefit (16,132,000)us-gaap_DeferredFederalIncomeTaxExpenseBenefit 9,734,000us-gaap_DeferredFederalIncomeTaxExpenseBenefit
State (2,937,000)us-gaap_DeferredStateAndLocalIncomeTaxExpenseBenefit (13,880,000)us-gaap_DeferredStateAndLocalIncomeTaxExpenseBenefit (1,606,000)us-gaap_DeferredStateAndLocalIncomeTaxExpenseBenefit
Total deferred income taxes (10,634,000)us-gaap_DeferredIncomeTaxExpenseBenefit (30,012,000)us-gaap_DeferredIncomeTaxExpenseBenefit 8,128,000us-gaap_DeferredIncomeTaxExpenseBenefit
Total provision (benefit) for income taxes 615,516,000us-gaap_IncomeTaxExpenseBenefit 603,214,000us-gaap_IncomeTaxExpenseBenefit 544,732,000us-gaap_IncomeTaxExpenseBenefit
Reconciliation between actual income taxes and amounts computed by applying federal statutory rate      
U.S. federal statutory rate on earnings before income taxes 588,303,000us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate 569,916,000us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate 524,088,000us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate
State income taxes, net of federal income tax benefit 49,819,000us-gaap_IncomeTaxReconciliationStateAndLocalIncomeTaxes 56,822,000us-gaap_IncomeTaxReconciliationStateAndLocalIncomeTaxes 52,713,000us-gaap_IncomeTaxReconciliationStateAndLocalIncomeTaxes
Jobs credits, net of federal income taxes (18,961,000)us-gaap_IncomeTaxReconciliationTaxCreditsOther (19,348,000)us-gaap_IncomeTaxReconciliationTaxCreditsOther (16,062,000)us-gaap_IncomeTaxReconciliationTaxCreditsOther
Increase (decrease) in valuation allowances 1,453,000us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance (437,000)us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance (3,050,000)us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance
Decrease in income tax reserves (6,449,000)us-gaap_IncomeTaxReconciliationTaxContingenciesDomestic (6,391,000)us-gaap_IncomeTaxReconciliationTaxContingenciesDomestic (13,676,000)us-gaap_IncomeTaxReconciliationTaxContingenciesDomestic
Other, net 1,351,000us-gaap_IncomeTaxReconciliationOtherAdjustments 2,652,000us-gaap_IncomeTaxReconciliationOtherAdjustments 719,000us-gaap_IncomeTaxReconciliationOtherAdjustments
Total provision (benefit) for income taxes 615,516,000us-gaap_IncomeTaxExpenseBenefit 603,214,000us-gaap_IncomeTaxExpenseBenefit 544,732,000us-gaap_IncomeTaxExpenseBenefit
Reconciliation between actual income taxes rate and federal statutory rate      
U.S. federal statutory rate on earnings before income taxes (as a percent) 35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate 35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate 35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate
State income taxes, net of federal income tax benefit (as a percent) 3.00%us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes 3.50%us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes 3.50%us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes
Jobs credits, net of federal income taxes (as a percent) (1.10%)us-gaap_EffectiveIncomeTaxRateReconciliationTaxCreditsOther (1.20%)us-gaap_EffectiveIncomeTaxRateReconciliationTaxCreditsOther (1.10%)us-gaap_EffectiveIncomeTaxRateReconciliationTaxCreditsOther
Increase (decrease) in valuation allowances (as a percent) 0.10%us-gaap_EffectiveIncomeTaxRateReconciliationChangeInDeferredTaxAssetsValuationAllowance   (0.20%)us-gaap_EffectiveIncomeTaxRateReconciliationChangeInDeferredTaxAssetsValuationAllowance
Decrease in income tax reserves (as a percent) (0.40%)us-gaap_EffectiveIncomeTaxRateReconciliationTaxContingenciesDomestic (0.40%)us-gaap_EffectiveIncomeTaxRateReconciliationTaxContingenciesDomestic (0.90%)us-gaap_EffectiveIncomeTaxRateReconciliationTaxContingenciesDomestic
Other, net (as a percent)   0.10%us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments 0.10%us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments
Total provision (benefit) for income taxes (as a percent) 36.60%us-gaap_EffectiveIncomeTaxRateContinuingOperations 37.00%us-gaap_EffectiveIncomeTaxRateContinuingOperations 36.40%us-gaap_EffectiveIncomeTaxRateContinuingOperations
Deferred tax assets:      
Deferred compensation expense 8,842,000us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefits 8,666,000us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefits  
Accrued expenses and other 5,146,000us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsOther 9,067,000us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsOther  
Accrued rent 19,360,000us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsDeferredRent 17,375,000us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsDeferredRent  
Accrued insurance 76,197,000us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsSelfInsurance 78,557,000us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsSelfInsurance  
Accrued incentive compensation 14,866,000us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsEmployeeBonuses 3,385,000us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsEmployeeBonuses  
Share based compensation 17,623,000us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsShareBasedCompensationCost 12,049,000us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsShareBasedCompensationCost  
Interest rate hedges 4,318,000us-gaap_DeferredTaxAssetsDerivativeInstruments 4,921,000us-gaap_DeferredTaxAssetsDerivativeInstruments  
Tax benefit of income tax and interest reserves related to uncertain tax positions 1,502,000dg_DeferredTaxAssetsUnrecognizedTaxBenefits 3,439,000dg_DeferredTaxAssetsUnrecognizedTaxBenefits  
Deferred gain on sale- leaseback 24,385,000us-gaap_DeferredTaxAssetsDeferredGainOnSaleLeasebackTransaction 26,186,000us-gaap_DeferredTaxAssetsDeferredGainOnSaleLeasebackTransaction  
Other 3,463,000us-gaap_DeferredTaxAssetsOther 3,045,000us-gaap_DeferredTaxAssetsOther  
State tax net operating loss carryforwards, net of federal tax 87,000us-gaap_DeferredTaxAssetsOperatingLossCarryforwardsStateAndLocal 282,000us-gaap_DeferredTaxAssetsOperatingLossCarryforwardsStateAndLocal  
State tax credit carry forwards, net of federal tax 11,039,000dg_DeferredTaxAssetsStateTaxCreditCarryforwardsOther 8,282,000dg_DeferredTaxAssetsStateTaxCreditCarryforwardsOther  
Total deferred tax assets, gross 186,828,000us-gaap_DeferredTaxAssetsGross 175,254,000us-gaap_DeferredTaxAssetsGross  
Less valuation allowances (2,845,000)us-gaap_DeferredTaxAssetsValuationAllowance (1,393,000)us-gaap_DeferredTaxAssetsValuationAllowance  
Total deferred tax assets, net 183,983,000us-gaap_DeferredTaxAssetsNet 173,861,000us-gaap_DeferredTaxAssetsNet  
Deferred tax liabilities:      
Property and equipment (302,531,000)us-gaap_DeferredTaxLiabilitiesPropertyPlantAndEquipment (307,644,000)us-gaap_DeferredTaxLiabilitiesPropertyPlantAndEquipment  
Inventories (73,188,000)us-gaap_DeferredTaxLiabilitiesDeferredExpenseCapitalizedInventoryCosts (64,481,000)us-gaap_DeferredTaxLiabilitiesDeferredExpenseCapitalizedInventoryCosts  
Trademarks (433,328,000)us-gaap_DeferredTaxLiabilitiesGoodwillAndIntangibleAssetsIntangibleAssets (433,130,000)us-gaap_DeferredTaxLiabilitiesGoodwillAndIntangibleAssetsIntangibleAssets  
Other (1,794,000)us-gaap_DeferredTaxLiabilitiesOther (4,427,000)us-gaap_DeferredTaxLiabilitiesOther  
Total deferred tax liabilities (810,841,000)us-gaap_DeferredIncomeTaxLiabilities (809,682,000)us-gaap_DeferredIncomeTaxLiabilities  
Net deferred tax liabilities (626,858,000)us-gaap_DeferredTaxLiabilities (635,821,000)us-gaap_DeferredTaxLiabilities  
Summarized net deferred tax liabilities as recorded in the consolidated balance sheets      
Current deferred income tax liabilities, net (25,268,000)us-gaap_DeferredTaxLiabilitiesCurrent (21,795,000)us-gaap_DeferredTaxLiabilitiesCurrent  
Noncurrent deferred income tax liabilities, net (601,590,000)us-gaap_DeferredTaxLiabilitiesNoncurrent (614,026,000)us-gaap_DeferredTaxLiabilitiesNoncurrent  
Net deferred tax liabilities (626,858,000)us-gaap_DeferredTaxLiabilities (635,821,000)us-gaap_DeferredTaxLiabilities  
State net operating loss carryforwards which will expire in 2028 1,300,000us-gaap_OperatingLossCarryforwards    
State tax credit carryforwards that will expire beginning in 2022 through 2025 17,000,000us-gaap_TaxCreditCarryforwardAmount    
Increase (decrease) in valuation allowance for state tax credit carryforwards 1,500,000us-gaap_ValuationAllowanceDeferredTaxAssetChangeInAmount (400,000)us-gaap_ValuationAllowanceDeferredTaxAssetChangeInAmount (3,100,000)us-gaap_ValuationAllowanceDeferredTaxAssetChangeInAmount
Reserves for uncertain tax benefits 9,343,000us-gaap_UnrecognizedTaxBenefits 19,583,000us-gaap_UnrecognizedTaxBenefits 22,237,000us-gaap_UnrecognizedTaxBenefits
Interest accrued related to uncertain tax benefits 1,000,000us-gaap_UnrecognizedTaxBenefitsInterestOnIncomeTaxesAccrued 2,400,000us-gaap_UnrecognizedTaxBenefitsInterestOnIncomeTaxesAccrued  
Potential penalties accrued related to uncertain tax benefits 400,000us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAccrued 400,000us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAccrued  
Aggregate reserve for uncertain tax positions including interest and penalties 10,700,000dg_UnrecognizedTaxBenefitsIncludingInterestAndPenalties 22,400,000dg_UnrecognizedTaxBenefitsIncludingInterestAndPenalties  
Reserves for uncertain tax benefits included in current liabilities as Accrued expenses and other   3,600,000us-gaap_LiabilityForUncertainTaxPositionsCurrent  
Reserves for uncertain tax benefits included in noncurrent Other liabilities 10,690,000us-gaap_LiabilityForUncertainTaxPositionsNoncurrent 18,802,000us-gaap_LiabilityForUncertainTaxPositionsNoncurrent  
Reserve for uncertain tax positions for which a reduction is reasonably possible in the next twelve months 3,000,000us-gaap_SignificantChangeInUnrecognizedTaxBenefitsIsReasonablyPossibleAmountOfUnrecordedBenefit    
Reserve for uncertain tax positions that would impact effective tax rate if recognized 9,300,000us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate    
Income tax amounts associated with uncertain tax positions      
Income tax expense (benefit) (9,497,000)dg_UnrecognizedTaxBenefitsExpense (3,915,000)dg_UnrecognizedTaxBenefitsExpense (16,119,000)dg_UnrecognizedTaxBenefitsExpense
Income tax related interest expense (benefit) (1,445,000)us-gaap_UnrecognizedTaxBenefitsInterestOnIncomeTaxesExpense 590,000us-gaap_UnrecognizedTaxBenefitsInterestOnIncomeTaxesExpense 344,000us-gaap_UnrecognizedTaxBenefitsInterestOnIncomeTaxesExpense
Income tax related penalty expense (benefit) 51,000us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesExpense 30,000us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesExpense (200,000)us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesExpense
Reconciliation of the uncertain income tax positions      
Beginning Balance 19,583,000us-gaap_UnrecognizedTaxBenefits 22,237,000us-gaap_UnrecognizedTaxBenefits 42,018,000us-gaap_UnrecognizedTaxBenefits
Increases - tax positions taken in the current year 198,000us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromCurrentPeriodTaxPositions 3,484,000us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromCurrentPeriodTaxPositions 2,114,000us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromCurrentPeriodTaxPositions
Increases - tax positions taken in prior years 62,000us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromPriorPeriodTaxPositions 3,000,000us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromPriorPeriodTaxPositions 1,144,000us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromPriorPeriodTaxPositions
Decreases - tax positions taken in prior years (8,636,000)us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromPriorPeriodTaxPositions (608,000)us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromPriorPeriodTaxPositions (22,669,000)us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromPriorPeriodTaxPositions
Statute expirations (1,121,000)us-gaap_UnrecognizedTaxBenefitsReductionsResultingFromLapseOfApplicableStatuteOfLimitations (7,622,000)us-gaap_UnrecognizedTaxBenefitsReductionsResultingFromLapseOfApplicableStatuteOfLimitations (166,000)us-gaap_UnrecognizedTaxBenefitsReductionsResultingFromLapseOfApplicableStatuteOfLimitations
Settlements (743,000)us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromSettlementsWithTaxingAuthorities (908,000)us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromSettlementsWithTaxingAuthorities (204,000)us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromSettlementsWithTaxingAuthorities
Ending Balance $ 9,343,000us-gaap_UnrecognizedTaxBenefits $ 19,583,000us-gaap_UnrecognizedTaxBenefits $ 22,237,000us-gaap_UnrecognizedTaxBenefits