Summary of Significant Accounting Policies - Schedule of Components of Property, Plant and Equipment (Details) - USD ($) $ in Thousands	Aug. 26, 2023	Aug. 27, 2022
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	$ 1,752,112	$ 1,593,499
Less: accumulated depreciation	995,572	928,380
Total property, plant and equipment	756,540	665,119
Land, Buildings and Leasehold Equipment
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	744,085	663,089
Machinery and Equipment
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	676,490	622,168
Motor Vehicles
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	$ 331,537	$ 308,242