Stock-based Compensation (Narrative) (Details) - USD ($) $ / shares in Units, shares in Thousands, $ in Millions			3 Months Ended			9 Months Ended
	Mar. 12, 2024	[1]	Oct. 27, 2024	Apr. 28, 2024	Oct. 29, 2023	Apr. 27, 2025	Apr. 28, 2024	Jul. 28, 2024
Stock-based Compensation
Replacement share-based awards issued in connection with Sovos Brands, Inc. acquisition				$ 42			$ 42
Sovos Brands Acquisition
Stock-based Compensation
ShareBased Compensation Arrangement by Share Based Payment Award Equity Instruments Other than Options Granted In Connection With Acquisition Fair Value							74
Replacement share-based awards issued in connection with Sovos Brands, Inc. acquisition	$ 42						$ 42
Share Based Compensation Arrangement By Share Based Payment Award Equity Instruments Other Than Options Granted In Connection With Acquisition							1,721
EPS Performance Restricted Stock Units [Member]
Stock-based Compensation
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage			100.00%
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Period						3 years
Nonvested, Units						841
Nonvested, Weighted-Average Grant-Date Fair Value						$ 45.22
EPS Performance Restricted Stock Units [Member] | Minimum [Member]
Stock-based Compensation
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage						0.00%
EPS Performance Restricted Stock Units [Member] | Maximum [Member]
Stock-based Compensation
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage						200.00%
Time Lapse, EPS Performance, and Replacement Restricted Stock Units [Member]
Stock-based Compensation
Remaining unearned compensation on nonvested awards						$ 60
Weighted-average remaining service period, years						1 year 9 months 18 days
Nonvested, Units						2,991		3,300
Fair value of restricted units and shares vested						$ 68	$ 95
Granted, Weighted-Average Grant-Date Fair Value						$ 47.97	$ 41.46
Nonvested, Weighted-Average Grant-Date Fair Value						$ 45.26		$ 43.24
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period						1,429
TSR Performance Restricted Stock/Units [Member]
Stock-based Compensation
Remaining unearned compensation on nonvested awards						$ 13
Weighted-average remaining service period, years						1 year 9 months 18 days
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage			175.00%		75.00%
Nonvested, Units						841		873
Fair value of restricted units and shares vested						$ 23	$ 12
Granted, Weighted-Average Grant-Date Fair Value						$ 45.23	$ 44.18
Nonvested, Weighted-Average Grant-Date Fair Value						$ 47.15		$ 47.40
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period						566
TSR Performance Restricted Stock Units Additional Shares [Member]
Stock-based Compensation
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period			199

[1] We issued replacement equity awards in settlement of certain Sovos Brands equity awards that did not become vested in connection with the acquisition. The portion of fair value of the replacement awards attributable to pre-combination service was $42 million and is included in the purchase consideration. We recognized $26 million of expense related to accelerated vesting of certain replacement awards in the third quarter of 2024.