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Earnings Per Share (Shares Repurchased) (Details) (USD $)
Share data in Millions, unless otherwise specified
12 Months Ended 3 Months Ended
Jan. 30, 2015
Jan. 31, 2014
Jan. 31, 2013
May 02, 2014
Jan. 31, 2014
Equity, Class of Treasury Stock [Line Items]          
Number of shares repurchased and retired 6.3us-gaap_StockRepurchasedAndRetiredDuringPeriodShares 5.6us-gaap_StockRepurchasedAndRetiredDuringPeriodShares      
Amount paid to repurchase outstanding shares $ 215,000,000us-gaap_PaymentsForRepurchaseOfEquity $ 319,000,000us-gaap_PaymentsForRepurchaseOfEquity $ 22,000,000us-gaap_PaymentsForRepurchaseOfEquity    
Value of initial shares repurchased 215,000,000us-gaap_StockRepurchasedAndRetiredDuringPeriodValue 319,000,000us-gaap_StockRepurchasedAndRetiredDuringPeriodValue 22,000,000us-gaap_StockRepurchasedAndRetiredDuringPeriodValue    
Second Accelerated Share Repurchase [Member]          
Equity, Class of Treasury Stock [Line Items]          
Agreement to repurchase shares, amount 200,000,000us-gaap_StockRepurchaseProgramAuthorizedAmount1
/ us-gaap_ShareRepurchaseProgramAxis
= ldos_SecondAcceleratedShareRepurchaseMember
       
Second Accelerated Share Repurchase, Initial Delivery [Member]          
Equity, Class of Treasury Stock [Line Items]          
Number of shares repurchased and retired 4.5us-gaap_StockRepurchasedAndRetiredDuringPeriodShares
/ us-gaap_ShareRepurchaseProgramAxis
= ldos_SecondAcceleratedShareRepurchaseInitialDeliveryMember
       
Amount paid to repurchase outstanding shares 200,000,000us-gaap_PaymentsForRepurchaseOfEquity
/ us-gaap_ShareRepurchaseProgramAxis
= ldos_SecondAcceleratedShareRepurchaseInitialDeliveryMember
       
Value of initial shares repurchased 168,000,000us-gaap_StockRepurchasedAndRetiredDuringPeriodValue
/ us-gaap_ShareRepurchaseProgramAxis
= ldos_SecondAcceleratedShareRepurchaseInitialDeliveryMember
       
Second Accelerated Share Repurchase, Final Delivery [Member]          
Equity, Class of Treasury Stock [Line Items]          
Number of shares repurchased and retired 0.8us-gaap_StockRepurchasedAndRetiredDuringPeriodShares
/ us-gaap_ShareRepurchaseProgramAxis
= ldos_SecondAcceleratedShareRepurchaseFinalDeliveryMember
       
Value of initial shares repurchased 32,000,000us-gaap_StockRepurchasedAndRetiredDuringPeriodValue
/ us-gaap_ShareRepurchaseProgramAxis
= ldos_SecondAcceleratedShareRepurchaseFinalDeliveryMember
       
Accelerated Share Repurchase (ASR)          
Equity, Class of Treasury Stock [Line Items]          
Agreement to repurchase shares, amount   300,000,000us-gaap_StockRepurchaseProgramAuthorizedAmount1
/ us-gaap_ShareRepurchaseProgramAxis
= ldos_AcceleratedShareRepurchaseMember
    300,000,000us-gaap_StockRepurchaseProgramAuthorizedAmount1
/ us-gaap_ShareRepurchaseProgramAxis
= ldos_AcceleratedShareRepurchaseMember
Number of shares repurchased and retired       1.0us-gaap_StockRepurchasedAndRetiredDuringPeriodShares
/ us-gaap_ShareRepurchaseProgramAxis
= ldos_AcceleratedShareRepurchaseMember
5.6us-gaap_StockRepurchasedAndRetiredDuringPeriodShares
/ us-gaap_ShareRepurchaseProgramAxis
= ldos_AcceleratedShareRepurchaseMember
Amount paid to repurchase outstanding shares         300,000,000us-gaap_PaymentsForRepurchaseOfEquity
/ us-gaap_ShareRepurchaseProgramAxis
= ldos_AcceleratedShareRepurchaseMember
Value of initial shares repurchased         255,000,000us-gaap_StockRepurchasedAndRetiredDuringPeriodValue
/ us-gaap_ShareRepurchaseProgramAxis
= ldos_AcceleratedShareRepurchaseMember
Forward contract indexed to our common stock       $ 45,000,000ldos_ForwardContractIndexedtoIssuersEquityAmount
/ us-gaap_ShareRepurchaseProgramAxis
= ldos_AcceleratedShareRepurchaseMember