Summary of Significant Accounting Policies - Schedule of Components of Property, Plant and Equipment (Details) - USD ($) $ in Thousands	Aug. 31, 2024	Aug. 26, 2023
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	$ 1,870,573	$ 1,752,112
Less: accumulated depreciation	1,068,961	995,572
Total property, plant and equipment, net	801,612	756,540
Land, Buildings and Leasehold Equipment
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	787,628	744,085
Machinery and Equipment
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	710,108	676,490
Motor Vehicles
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	$ 372,837	$ 331,537