Fair Value (Details)	3 Months Ended		9 Months Ended
	May 28, 2022 USD ($)	May 29, 2021 USD ($)	May 28, 2022 USD ($)	May 29, 2021 USD ($)	Aug. 28, 2021 USD ($) ft²
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Fair value remeasurement of non-financial assets on non-recurring basis	$ 0	$ 0	$ 0	$ 0
Fair value remeasurement of non-financial liabilities on non-recurring basis	0	$ 0	0	$ 0
Property, plant and equipment, net	299,143,000		299,143,000		$ 298,416,000
Building and Building Improvements [Member]
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Property, plant and equipment, net	11,600,000		11,600,000
Land [Member]
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Property, plant and equipment, net	3,700,000		3,700,000
Long Island Customer Service Center [Member]
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Area of property | ft²					170,000
Property, plant and equipment, net	$ 15,300,000		$ 15,300,000