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Earnings (Loss) Per Share (EPS) (Schedule of Stock-Based Awards Excluded from Weighted Average Shares Outstanding) (Detail)
In Millions, unless otherwise specified
3 Months Ended
Apr. 03, 2015
May 02, 2014
Stock Options    
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]    
Antidilutive stock based awards 1us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount
/ us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis
= us-gaap_EmployeeStockOptionMember
2us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount
/ us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis
= us-gaap_EmployeeStockOptionMember
Vested Stock Awards    
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]    
Antidilutive stock based awards   1us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount
/ us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis
= ldos_VestedStockAwardsMember