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Schedule of Purchase Price Allocations Related to Acquisitions (Detail) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Jan. 31, 2014
Jan. 31, 2013
Business Acquisition [Line Items]    
Tax deductible goodwill $ 0us-gaap_BusinessAcquisitionPurchasePriceAllocationGoodwillExpectedTaxDeductibleAmount $ 0us-gaap_BusinessAcquisitionPurchasePriceAllocationGoodwillExpectedTaxDeductibleAmount
Non-tax deductible goodwill 0ldos_BusinessAcquisitionPurchasePriceAllocationGoodwillExpectedNonTaxDeductibleAmount 395ldos_BusinessAcquisitionPurchasePriceAllocationGoodwillExpectedNonTaxDeductibleAmount
Weighted average lives of finite-lived intangibles (years) 12 years 4 years
Customer Relationships    
Business Acquisition [Line Items]    
Identifiable intangible assets (finite-lived) 0us-gaap_FinitelivedIntangibleAssetsAcquired1
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
62us-gaap_FinitelivedIntangibleAssetsAcquired1
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
Weighted average lives of finite-lived intangibles (years) 0 years 5 years
Other    
Business Acquisition [Line Items]    
Identifiable intangible assets (finite-lived) $ 3us-gaap_FinitelivedIntangibleAssetsAcquired1
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= ldos_OtherFiniteLivedIntangibleAssetsMember
$ 10us-gaap_FinitelivedIntangibleAssetsAcquired1
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= ldos_OtherFiniteLivedIntangibleAssetsMember
Weighted average lives of finite-lived intangibles (years) 12 years 1 year