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Share Based Payment Arrangements - Additional Information (Detail) (USD $)
12 Months Ended 0 Months Ended
Dec. 27, 2014
CompensationPlan
EquityPlan
Dec. 28, 2013
Dec. 29, 2012
Jan. 23, 2013
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Number of employee equity incentive plans 2lstr_NumberOfEmployeeEquityIncentivePlans      
Number of board of director stock compensation plans 2lstr_NumberOfBoardOfDirectorStockCompensationPlans      
Income tax benefit realized on disqualifying dispositions of stock acquired by exercise of incentive stock options $ 659,000us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitRealizedFromExerciseOfStockOptions $ 502,000us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitRealizedFromExerciseOfStockOptions    
Employee Stock Option        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Terms of award Options granted under the Plans generally become exercisable in either five equal annual installments commencing on the first anniversary of the date of grant or 100% on the fifth anniversary from the date of grant, subject to acceleration in certain circumstances. All options granted under the Plans expire on the tenth anniversary of the date of grant. Under the Plans, the exercise price of each option equals the fair market value of the Company's Common Stock on the date of grant.      
The weighted average grant date fair value of stock options granted $ 12.70us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
$ 14.21us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
$ 13.99us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
 
Stock options outstanding, intrinsic value 21,264,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingIntrinsicValue
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
     
Intrinsic value of stock options exercisable 11,303,000us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsExercisableIntrinsicValue1
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
     
Total intrinsic value of stock options exercised during periods 14,573,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
6,095,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
12,476,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
 
Unrecognized compensation cost 2,916,000us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedStockOptions
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
     
Unrecognized compensation cost expected to be recognized over period, years 2 years 2 months 12 days      
Non-vested Restricted Stock        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Terms of award Shares of restricted stock generally are granted under the 2011 EIP subject to vesting in three equal annual installments or 100% on the fifth anniversary of the date of grant and the shares of restricted stock remain subject to forfeiture unless the grantee remains continuously employed with the Company or a subsidiary thereof through the applicable vesting date.      
Unrecognized compensation cost expected to be recognized over period, years 1 year 10 months 24 days      
Unrecognized compensation cost 827,000us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedShareBasedAwardsOtherThanOptions
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember
     
Awards issued 7,124us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember
15,449us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember
4,151us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember
 
2013 Directors Stock Compensation Plan        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Common stock authorized for issuance 115,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized
/ us-gaap_AwardTypeAxis
= lstr_TwoThousandAndThirteenDirectorsStockCompensationPlanMember
     
Common stock reserved for issuance 95,531us-gaap_CommonStockCapitalSharesReservedForFutureIssuance
/ us-gaap_AwardTypeAxis
= lstr_TwoThousandAndThirteenDirectorsStockCompensationPlanMember
     
Other Stock Compensation Plans        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Common stock reserved for issuance 5,925,501us-gaap_CommonStockCapitalSharesReservedForFutureIssuance
/ us-gaap_AwardTypeAxis
= lstr_OtherStockCompensationPlanMember
     
Restricted Stock Units (RSUs)        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Unrecognized compensation cost expected to be recognized over period, years 2 years 8 months 12 days      
Discount rate on stock awards 7.00%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsDiscountForPostvestingRestrictions
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
7.00%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsDiscountForPostvestingRestrictions
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
7.00%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsDiscountForPostvestingRestrictions
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
 
Percentage used in calculation to determine vesting 5.00%lstr_ShareBasedCompensationArrangementByShareBasedPaymentAwardPercentageUsedInCalculationToDetermineVesting
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
     
Awards issued 146,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
244,500us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
113,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
 
Recognized share-based compensation expense 4,443,000us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
1,276,000us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
964,000us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
 
Restricted Stock Units (RSUs) | Maximum        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Unrecognized compensation cost 17,100,000us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedShareBasedAwardsOtherThanOptions
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
     
RSU awards vesting period 5 years      
Restricted Stock Units (RSUs) | Chairman and Chief Executive Officer        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Awards issued       100,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
/ us-gaap_TitleOfIndividualAxis
= lstr_ChairmanAndChiefExecutiveOfficerMember
Restricted Stock Units (RSUs) | Chairman and Chief Executive Officer | Maximum        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
RSU awards vesting period       3 years
Directors Stock Compensation Plan        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
FMV of restricted shares granted to Directors upon election 225,000lstr_FmvOfRestrictedSharesGrantedToDirectorsUponElection
/ us-gaap_AwardTypeAxis
= lstr_DirectorsStockCompensationPlanMember
     
Restricted shares granted 7,124us-gaap_StockIssuedDuringPeriodSharesRestrictedStockAwardGross
/ us-gaap_AwardTypeAxis
= lstr_DirectorsStockCompensationPlanMember
13,449us-gaap_StockIssuedDuringPeriodSharesRestrictedStockAwardGross
/ us-gaap_AwardTypeAxis
= lstr_DirectorsStockCompensationPlanMember
4,151us-gaap_StockIssuedDuringPeriodSharesRestrictedStockAwardGross
/ us-gaap_AwardTypeAxis
= lstr_DirectorsStockCompensationPlanMember
 
Compensation cost on restricted shares granted $ 331,000us-gaap_RestrictedStockExpense
/ us-gaap_AwardTypeAxis
= lstr_DirectorsStockCompensationPlanMember
$ 442,000us-gaap_RestrictedStockExpense
/ us-gaap_AwardTypeAxis
= lstr_DirectorsStockCompensationPlanMember
$ 292,000us-gaap_RestrictedStockExpense
/ us-gaap_AwardTypeAxis
= lstr_DirectorsStockCompensationPlanMember