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Information Regarding Reportable Business Segments (Detail) (USD $)
In Thousands, unless otherwise specified
12 Months Ended
Dec. 27, 2014
Dec. 28, 2013
Dec. 29, 2012
Segment Reporting Information [Line Items]      
External revenue from continuing operations $ 3,184,790us-gaap_Revenues $ 2,664,780us-gaap_Revenues $ 2,770,799us-gaap_Revenues
Internal revenue 28,164us-gaap_RevenueFromRelatedParties 28,811us-gaap_RevenueFromRelatedParties 28,446us-gaap_RevenueFromRelatedParties
Investment income 1,381us-gaap_InterestIncomeOperating 1,475us-gaap_InterestIncomeOperating 1,563us-gaap_InterestIncomeOperating
Interest and debt expense from continuing operations 3,177us-gaap_InterestAndDebtExpense 3,211us-gaap_InterestAndDebtExpense 3,110us-gaap_InterestAndDebtExpense
Depreciation and amortization from continuing operations 27,575us-gaap_DepreciationAndAmortization 27,667us-gaap_DepreciationAndAmortization 25,213us-gaap_DepreciationAndAmortization
Operating income from continuing operations 224,372us-gaap_OperatingIncomeLoss 176,590us-gaap_OperatingIncomeLoss 200,739us-gaap_OperatingIncomeLoss
Expenditures on long-lived assets from continuing operations 10,539us-gaap_PaymentsToAcquirePropertyPlantAndEquipment 6,373us-gaap_PaymentsToAcquirePropertyPlantAndEquipment 5,388us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
Goodwill 31,134us-gaap_Goodwill 31,134us-gaap_Goodwill 57,470us-gaap_Goodwill
Capital lease additions 47,232us-gaap_CapitalLeaseObligationsIncurred 49,138us-gaap_CapitalLeaseObligationsIncurred 43,077us-gaap_CapitalLeaseObligationsIncurred
Total assets 1,044,212us-gaap_Assets 970,696us-gaap_Assets 879,421us-gaap_Assets
Transportation Logistics      
Segment Reporting Information [Line Items]      
External revenue from continuing operations 3,145,413us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= lstr_TransportationLogisticsMember
2,628,225us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= lstr_TransportationLogisticsMember
2,734,938us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= lstr_TransportationLogisticsMember
Interest and debt expense from continuing operations 3,177us-gaap_InterestAndDebtExpense
/ us-gaap_StatementBusinessSegmentsAxis
= lstr_TransportationLogisticsMember
3,211us-gaap_InterestAndDebtExpense
/ us-gaap_StatementBusinessSegmentsAxis
= lstr_TransportationLogisticsMember
3,110us-gaap_InterestAndDebtExpense
/ us-gaap_StatementBusinessSegmentsAxis
= lstr_TransportationLogisticsMember
Depreciation and amortization from continuing operations 27,575us-gaap_DepreciationAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= lstr_TransportationLogisticsMember
27,667us-gaap_DepreciationAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= lstr_TransportationLogisticsMember
25,213us-gaap_DepreciationAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= lstr_TransportationLogisticsMember
Operating income from continuing operations 193,914us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= lstr_TransportationLogisticsMember
151,188us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= lstr_TransportationLogisticsMember
167,626us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= lstr_TransportationLogisticsMember
Expenditures on long-lived assets from continuing operations 10,539us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= lstr_TransportationLogisticsMember
6,373us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= lstr_TransportationLogisticsMember
5,388us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= lstr_TransportationLogisticsMember
Goodwill 31,134us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= lstr_TransportationLogisticsMember
31,134us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= lstr_TransportationLogisticsMember
57,470us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= lstr_TransportationLogisticsMember
Capital lease additions 47,232us-gaap_CapitalLeaseObligationsIncurred
/ us-gaap_StatementBusinessSegmentsAxis
= lstr_TransportationLogisticsMember
49,138us-gaap_CapitalLeaseObligationsIncurred
/ us-gaap_StatementBusinessSegmentsAxis
= lstr_TransportationLogisticsMember
43,077us-gaap_CapitalLeaseObligationsIncurred
/ us-gaap_StatementBusinessSegmentsAxis
= lstr_TransportationLogisticsMember
Total assets 917,789us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= lstr_TransportationLogisticsMember
754,904us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= lstr_TransportationLogisticsMember
708,233us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= lstr_TransportationLogisticsMember
Insurance      
Segment Reporting Information [Line Items]      
External revenue from continuing operations 39,377us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= lstr_InsuranceMember
36,555us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= lstr_InsuranceMember
35,861us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= lstr_InsuranceMember
Internal revenue 28,164us-gaap_RevenueFromRelatedParties
/ us-gaap_StatementBusinessSegmentsAxis
= lstr_InsuranceMember
28,811us-gaap_RevenueFromRelatedParties
/ us-gaap_StatementBusinessSegmentsAxis
= lstr_InsuranceMember
28,446us-gaap_RevenueFromRelatedParties
/ us-gaap_StatementBusinessSegmentsAxis
= lstr_InsuranceMember
Investment income 1,381us-gaap_InterestIncomeOperating
/ us-gaap_StatementBusinessSegmentsAxis
= lstr_InsuranceMember
1,475us-gaap_InterestIncomeOperating
/ us-gaap_StatementBusinessSegmentsAxis
= lstr_InsuranceMember
1,563us-gaap_InterestIncomeOperating
/ us-gaap_StatementBusinessSegmentsAxis
= lstr_InsuranceMember
Operating income from continuing operations 30,458us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= lstr_InsuranceMember
25,402us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= lstr_InsuranceMember
33,113us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= lstr_InsuranceMember
Total assets $ 126,423us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= lstr_InsuranceMember
$ 215,792us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= lstr_InsuranceMember
$ 171,188us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= lstr_InsuranceMember