Stock-Based Compensation - Schedule of Stock-Based Compensation Expense (Details) - USD ($)	3 Months Ended
	Dec. 02, 2023	Dec. 03, 2022
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]
Stock-based compensation	$ 5,201,000	$ 4,990,000
Deferred income tax benefit	(1,264,000)	(1,233,000)
Stock-based compensation expense, net	3,937,000	3,757,000
Stock options
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]
Stock-based compensation	0	101,000
Restricted stock units
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]
Stock-based compensation	4,275,000	3,711,000
Performance share units
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]
Stock-based compensation	821,000	1,095,000
Associate Stock Purchase Plan
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]
Stock-based compensation	$ 105,000	$ 83,000