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Earnings (Loss) Per Share (EPS) (Shares Repurchase Program) (Details) (USD $)
Share data in Millions, unless otherwise specified
3 Months Ended 12 Months Ended 3 Months Ended
Apr. 03, 2015
May 02, 2014
Jan. 30, 2015
Jan. 31, 2014
Aug. 01, 2014
Accelerated Share Repurchases [Line Items]          
Repurchases of stock $ 6,000,000us-gaap_PaymentsForRepurchaseOfEquity $ 212,000,000us-gaap_PaymentsForRepurchaseOfEquity      
Shares repurchased and retired     6.3us-gaap_StockRepurchasedAndRetiredDuringPeriodShares    
Accelerated Share Repurchase          
Accelerated Share Repurchases [Line Items]          
Repurchases of stock       300,000,000us-gaap_PaymentsForRepurchaseOfEquity
/ us-gaap_ShareRepurchaseProgramAxis
= ldos_AcceleratedShareRepurchaseMember
 
Shares repurchased and retired   1.0us-gaap_StockRepurchasedAndRetiredDuringPeriodShares
/ us-gaap_ShareRepurchaseProgramAxis
= ldos_AcceleratedShareRepurchaseMember
  5.6us-gaap_StockRepurchasedAndRetiredDuringPeriodShares
/ us-gaap_ShareRepurchaseProgramAxis
= ldos_AcceleratedShareRepurchaseMember
 
Second Accelerated Share Repurchase          
Accelerated Share Repurchases [Line Items]          
Repurchases of stock   $ 200,000,000us-gaap_PaymentsForRepurchaseOfEquity
/ us-gaap_ShareRepurchaseProgramAxis
= ldos_SecondAcceleratedShareRepurchaseMember
     
Shares repurchased and retired   4.5us-gaap_StockRepurchasedAndRetiredDuringPeriodShares
/ us-gaap_ShareRepurchaseProgramAxis
= ldos_SecondAcceleratedShareRepurchaseMember
    0.8us-gaap_StockRepurchasedAndRetiredDuringPeriodShares
/ us-gaap_ShareRepurchaseProgramAxis
= ldos_SecondAcceleratedShareRepurchaseMember