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Stockholders' Equity, Comprehensive Income and Share-Based Compensation (Stock Options) (Details) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Oct. 26, 2014
Oct. 27, 2013
Oct. 28, 2012
Equity [Abstract]      
Aggregate intrinsic value of outstanding stock options $ 19us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingIntrinsicValue $ 49us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingIntrinsicValue $ 43us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingIntrinsicValue
Total intrinsic value of stock options exercised 39us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue 63us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue 21us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue
Total fair value of stock options vested 1us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedInPeriodFairValue1 4us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedInPeriodFairValue1 41us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedInPeriodFairValue1
Cash received from stock option exercises 29us-gaap_ProceedsFromStockOptionsExercised 88us-gaap_ProceedsFromStockOptionsExercised 33us-gaap_ProceedsFromStockOptionsExercised
Actual tax benefit realized from options exercised $ 12us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitRealizedFromExerciseOfStockOptions $ 19us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitRealizedFromExerciseOfStockOptions $ 7us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitRealizedFromExerciseOfStockOptions