Stockholders' Equity, Comprehensive Income and Share-Based Compensation (Details Textual) $ / shares in Units, shares in Millions		1 Months Ended	3 Months Ended		6 Months Ended		12 Months Ended
	Apr. 26, 2015 USD ($)	Dec. 31, 2015 $ / shares	May. 01, 2016 USD ($) $ / shares shares	Apr. 26, 2015 USD ($) shares	May. 01, 2016 USD ($) employee_stock_purchase_plans shares	Apr. 26, 2015 USD ($) shares	Oct. 25, 2015
Equity [Line Items]
Other comprehensive loss, net of tax | $			$ (1,000,000)	$ (48,000,000)	$ (3,000,000)	$ (49,000,000)
Amount authorized by board of directors to repurchase shares | $	$ 3,000,000,000.0			$ 3,000,000,000.0		3,000,000,000.0
Period of stock repurchase program	3 years
Remaining authorized repurchase amount | $			$ 150,000,000		$ 150,000,000
Common stock repurchases (in shares) | shares			45.1		80.5
Dividends declared per share (in dollars per share) | $ / shares		$ 0.10	$ 0.10
Payments of Dividends | $					$ 228,000,000	$ 245,000,000
Number of employee stock purchase plans | employee_stock_purchase_plans					2
Employee Stock [Member]
Equity [Line Items]
Total unrecognized compensation expense | $			$ 337,000,000		$ 337,000,000
Weighted average period for unrecognized compensation expense to be recognized (in years)					2 years 8 months 29 days
Share-based Compensation Arrangement by Share-based Payment Award, Purchase Price of Common Stock, Percent							85.00%
Performance Shares [Member]
Equity [Line Items]
Additional performance-based awards to be earned upon certain levels of achievement | shares			1.0		1.0
Restricted Stock Units, Restricted Stock, Performance Shares and Performance Units [Member] | Certain Executive Officers [Member]
Equity [Line Items]
Measurement period for achieving TSR goals					2 years
Restricted Stock Units, Restricted Stock, Performance Shares and Performance Units [Member] | Certain Executive Officers [Member] | Maximum [Member]
Equity [Line Items]
Vesting period for performance-based awards					4 years
ESIP [Member] | Employee Stock Option [Member]
Equity [Line Items]
Number of shares available for grant (in shares) | shares			107.0		107.0
Employee Stock Purchase Plan, United States [Member]
Equity [Line Items]
Number of employee stock purchase plans | employee_stock_purchase_plans					1
Employee Stock Purchase Plan, International [Member]
Equity [Line Items]
Number of employee stock purchase plans | employee_stock_purchase_plans					1
Employee Stock Purchase Plan [Member]
Equity [Line Items]
Employee Stock Purchase Plan (ESPP), Purchase Period							6 months
Stock Issued During Period, Shares, Employee Stock Purchase Plans | shares			3.0	2.0	3.0	2.0
Employee Stock Purchase Plan [Member] | Employee Stock Option [Member]
Equity [Line Items]
Number of shares available for grant (in shares) | shares			26.0		26.0
Treasury Stock [Member]
Equity [Line Items]
Common stock repurchases (in shares) | shares					81.0
Defined and Postretirement Benefit Plans [Member]
Equity [Line Items]
Other comprehensive loss, net of tax | $					$ 0	$ (43,000,000)