Stock-based Compensation (Summary of Stock-based Compensation Expense) (Details) - USD ($) $ in Millions	3 Months Ended			9 Months Ended
	Apr. 28, 2024		Apr. 30, 2023	Apr. 28, 2024		Apr. 30, 2023
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total pre-tax stock-based compensation expense	$ 44	[1]	$ 17	$ 80	[1]	$ 48
Tax-related benefits	3		$ 3	9		$ 9
Sovos Brands Acquisition
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-Based Payment Arrangement, Accelerated Cost	$ 26			$ 26

[1] Includes $26 million of expense related to accelerated vesting of certain Replacement units in the three- and nine-month periods ended April 28, 2024.