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Share Repurchases (Details) - USD ($)
shares in Millions, $ in Millions
9 Months Ended
May. 01, 2016
May. 03, 2015
Statement [Line Items]    
Shares repurchased, value $ 118 $ 192
June 2011 Program [Member]    
Statement [Line Items]    
Authorized amount for shares repurchase 1,000  
Stock Repurchase Program, Remaining Authorized Repurchase Amount $ 475  
Treasury Stock [Member]    
Statement [Line Items]    
Treasury stock purchased, shares 2 4
Shares repurchased, value $ 118 $ 192
Treasury Stock [Member] | June 2011 Program [Member]    
Statement [Line Items]    
Shares repurchased, value $ 75