Shareholders' Equity (Details) $ / shares in Units, shares in Thousands, $ in Thousands			12 Months Ended
	Oct. 11, 2022 $ / shares	Oct. 03, 2022 USD ($)	Sep. 03, 2022 USD ($) item shares	Aug. 28, 2021 USD ($) shares	Aug. 29, 2020 USD ($)	Jun. 29, 2021 shares
Subsequent Event [Member]
Components Of Shareholders Equity [Line Items]
Dividends declared date	Oct. 11, 2022
Dividends payable per share | $ / shares	$ 0.79
Dividend payable date	Nov. 29, 2022
Dividends date of record	Nov. 15, 2022
Dividend payable amount | $		$ 44,140
Class A Common Stock [Member]
Components Of Shareholders Equity [Line Items]
Treasury Stock, Shares, Retired			300	736
Class A Common Stock [Member] | Share Repurchase Program [Member]
Components Of Shareholders Equity [Line Items]
Number of shares authorized for repurchase			4,700			5,000
Class B Common Stock [Member]
Components Of Shareholders Equity [Line Items]
Common stock voting rights for each share held | item			10
Treasury Stock [Member]
Components Of Shareholders Equity [Line Items]
Treasury stock repurchased, and treasury stock repurchased and retired, shares			363	789
Treasury stock repurchased, and treasury stock repurchased and retired, amount | $			$ 27,359	$ 71,261
Treasury stock reissued to fund plan, shares			58	57
Treasury Stock [Member] | Class A Common Stock [Member]
Components Of Shareholders Equity [Line Items]
Purchase of treasury stock | $			$ 5,233	$ 3,795	$ 3,444
Shares repurchased by the company for associates' tax withholding liability associated with share-based compensation			63	53