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Income Taxes - Additional Information (Detail) (USD $)
12 Months Ended
Dec. 27, 2014
Dec. 28, 2013
Dec. 29, 2012
Income Taxes [Line Items]      
Deferred tax benefit and expense - discontinued operations   $ 1,342,000lstr_DeferredIncomeTaxExpenseBenefitDiscontinuedOperations $ (664,000)lstr_DeferredIncomeTaxExpenseBenefitDiscontinuedOperations
Federal income tax rate 35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate    
Net unrecognized tax benefits 1,836,000lstr_NetUnrecognizedTaxBenefits 1,583,000lstr_NetUnrecognizedTaxBenefits  
Accrued for estimated interest and penalties 744,000us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestAccrued 628,000us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestAccrued  
Income taxes paid $ 98,506,000us-gaap_IncomeTaxesPaid $ 64,255,000us-gaap_IncomeTaxesPaid $ 71,033,000us-gaap_IncomeTaxesPaid