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Summary of Significant Accounting Policies (Schedule of Supplementary Cash Flow Information) (Detail) (USD $)
In Millions, unless otherwise specified
 3 Months Ended
Apr. 03, 2015
May 02, 2014
Accounting Policies [Abstract]    
Vested stock issued as settlement of annual bonus accruals $ 1ldos_StockIssuedVestedStockIssuedAsSettlementOfAnnualBonusAccruals $ 1ldos_StockIssuedVestedStockIssuedAsSettlementOfAnnualBonusAccruals
Stock issued in lieu of cash dividends 1us-gaap_StockIssued1 1us-gaap_StockIssued1
Accrued dividends declared 25us-gaap_DividendsPayableCurrentAndNoncurrent 0us-gaap_DividendsPayableCurrentAndNoncurrent
Cash paid for income taxes, net of refunds (including discontinued operations) $ 60us-gaap_IncomeTaxesPaid $ 5us-gaap_IncomeTaxesPaid