Stock-based Compensation (Summary of Stock-based Compensation Expense) (Details) - USD ($) $ in Millions	3 Months Ended			9 Months Ended
	Apr. 27, 2025	Apr. 28, 2024		Apr. 27, 2025	Apr. 28, 2024
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total pre-tax stock-based compensation expense	$ 16	$ 44	[1]	$ 52	$ 80	[1]
Tax-related benefits	$ 4	3		$ 14	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.