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Stockholders' Equity, Comprehensive Income and Share-Based Compensation (Stock Repurchases) (Details) (USD $)
In Millions, except Per Share data, unless otherwise specified
12 Months Ended
Oct. 26, 2014
Oct. 27, 2013
Oct. 28, 2012
Equity [Abstract]      
Shares of common stock repurchased (in shares) 0us-gaap_TreasuryStockSharesAcquired 18us-gaap_TreasuryStockSharesAcquired 126us-gaap_TreasuryStockSharesAcquired
Cost of stock repurchased   $ 245us-gaap_TreasuryStockValueAcquiredCostMethod $ 1,416us-gaap_TreasuryStockValueAcquiredCostMethod
Average price paid per share (in dollars per share)   $ 13.60us-gaap_TreasuryStockAcquiredAverageCostPerShare $ 11.22us-gaap_TreasuryStockAcquiredAverageCostPerShare