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Effect of Increase in Cost of Insurance and Claims (Detail) (USD $)
In Thousands, except Per Share data, unless otherwise specified
3 Months Ended
Mar. 28, 2015
Mar. 29, 2014
Change in Accounting Estimate [Line Items]    
Operating income $ 49,045us-gaap_OperatingIncomeLoss $ 45,014us-gaap_OperatingIncomeLoss
Net income 30,015us-gaap_NetIncomeLoss 27,638us-gaap_NetIncomeLoss
Earnings per share $ 0.67us-gaap_EarningsPerShareBasic $ 0.61us-gaap_EarningsPerShareBasic
Diluted earnings per share $ 0.67us-gaap_EarningsPerShareDiluted $ 0.61us-gaap_EarningsPerShareDiluted
Development of Prior Year Self Insured Claims Estimates    
Change in Accounting Estimate [Line Items]    
Operating income 4,641us-gaap_OperatingIncomeLoss
/ us-gaap_ChangeInAccountingEstimateByTypeAxis
= lstr_DevelopmentOfPriorYearSelfInsuredClaimsEstimatesMember
1,891us-gaap_OperatingIncomeLoss
/ us-gaap_ChangeInAccountingEstimateByTypeAxis
= lstr_DevelopmentOfPriorYearSelfInsuredClaimsEstimatesMember
Net income $ 2,868us-gaap_NetIncomeLoss
/ us-gaap_ChangeInAccountingEstimateByTypeAxis
= lstr_DevelopmentOfPriorYearSelfInsuredClaimsEstimatesMember
$ 1,169us-gaap_NetIncomeLoss
/ us-gaap_ChangeInAccountingEstimateByTypeAxis
= lstr_DevelopmentOfPriorYearSelfInsuredClaimsEstimatesMember
Earnings per share $ 0.06us-gaap_EarningsPerShareBasic
/ us-gaap_ChangeInAccountingEstimateByTypeAxis
= lstr_DevelopmentOfPriorYearSelfInsuredClaimsEstimatesMember
$ 0.03us-gaap_EarningsPerShareBasic
/ us-gaap_ChangeInAccountingEstimateByTypeAxis
= lstr_DevelopmentOfPriorYearSelfInsuredClaimsEstimatesMember
Diluted earnings per share $ 0.06us-gaap_EarningsPerShareDiluted
/ us-gaap_ChangeInAccountingEstimateByTypeAxis
= lstr_DevelopmentOfPriorYearSelfInsuredClaimsEstimatesMember
$ 0.03us-gaap_EarningsPerShareDiluted
/ us-gaap_ChangeInAccountingEstimateByTypeAxis
= lstr_DevelopmentOfPriorYearSelfInsuredClaimsEstimatesMember