Summary of Significant Accounting Policies - Narrative (Details)			3 Months Ended	12 Months Ended
	Aug. 19, 2020 USD ($) $ / shares	Sep. 01, 2019 USD ($)	Aug. 29, 2020 USD ($)	Aug. 29, 2020 USD ($) segment $ / shares	Aug. 31, 2019 USD ($) $ / shares	Aug. 25, 2018 USD ($) $ / shares
Accounting Policies [Abstract]
Number of reportable segments | segment				2
Goodwill impairment			$ 0
Finite-lived impairment loss				$ 0
Insurance policy limit				50,000,000.0
Self insurance reserve for product liability, per occurrence				1,000,000.0
Self insurance reserve for product liability, aggregate per policy year				2,000,000.0
Self-insurance policy health, occurrence				$ 300,000
Self-insurance policy health, aggregate				125.00%
Advertising expense				$ 12,500,000	$ 8,300,000	$ 7,400,000
Common stock dividends (in dollars per share) | $ / shares	$ 0.12			$ 0.45	$ 0.43	$ 0.40
Cash dividends paid on common stock	$ 4,000,000.0			$ 14,718,000	$ 13,728,000	$ 12,738,000
Deferred FICA liability			7,800,000	7,800,000
Employee retention credit			4,000,000.0	4,000,000.0
Accounting Standards Update [Extensible List]		us-gaap:AccountingStandardsUpdate201602Member
Net lease assets		$ 33,800,000	33,861,000	33,861,000
Net lease liabilities		$ 33,400,000	$ 35,115,000	$ 35,115,000