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Dispositions (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended
Apr. 03, 2015
May 02, 2014
Disposal Group, Including Discontinued Operation, Income Statement Disclosures [Abstract]    
Income (loss) from discontinued operations before income taxes $ 0us-gaap_DiscontinuedOperationIncomeLossFromDiscontinuedOperationBeforeIncomeTax $ (13)us-gaap_DiscontinuedOperationIncomeLossFromDiscontinuedOperationBeforeIncomeTax
Other Disposals    
Disposal Group, Including Discontinued Operation, Income Statement Disclosures [Abstract]    
Revenues 8us-gaap_DisposalGroupIncludingDiscontinuedOperationRevenue
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26us-gaap_DisposalGroupIncludingDiscontinuedOperationRevenue
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Cost of revenues 7us-gaap_DisposalGroupIncludingDiscontinuedOperationCostsOfGoodsSold
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22us-gaap_DisposalGroupIncludingDiscontinuedOperationCostsOfGoodsSold
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Selling, general and administrative expenses 3ldos_DisposalGroupIncludingDiscontinuedOperationSellingGeneralandAdministrativeExpense
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14ldos_DisposalGroupIncludingDiscontinuedOperationSellingGeneralandAdministrativeExpense
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Intangible asset impairment charges 0ldos_DisposalGroupsIncludingDiscontinuedOperationsImpairmentofIntangibleAssetsExcludingGoodwill
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3ldos_DisposalGroupsIncludingDiscontinuedOperationsImpairmentofIntangibleAssetsExcludingGoodwill
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Operating loss (2)us-gaap_DisposalGroupIncludingDiscontinuedOperationOperatingIncomeLoss
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(13)us-gaap_DisposalGroupIncludingDiscontinuedOperationOperatingIncomeLoss
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Non-operating income 2us-gaap_NonoperatingIncomeExpense
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0us-gaap_NonoperatingIncomeExpense
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Income (loss) from discontinued operations before income taxes $ 0us-gaap_DiscontinuedOperationIncomeLossFromDiscontinuedOperationBeforeIncomeTax
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$ (13)us-gaap_DiscontinuedOperationIncomeLossFromDiscontinuedOperationBeforeIncomeTax
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= ldos_OtherDisposalsMember