Shareholders' Equity (Details) $ / shares in Units, $ in Thousands		12 Months Ended
	Oct. 14, 2021 USD ($) $ / shares	Aug. 28, 2021 USD ($) item shares	Aug. 29, 2020 USD ($) shares	Jun. 29, 2021 shares
Components Of Shareholders Equity [Line Items]
Preferred stock, shares authorized		5,000,000	5,000,000
Preferred stock, shares issued		0	0
Preferred stock, shares outstanding		0	0
Subsequent Event [Member]
Components Of Shareholders Equity [Line Items]
Dividends declared date	Oct. 14, 2021
Dividends payable per share | $ / shares	$ 0.75
Dividend payable date	Nov. 30, 2021
Dividends record date	Nov. 16, 2021
Dividend payable amount | $	$ 41,606
Class A Common Stock [Member]
Components Of Shareholders Equity [Line Items]
Common stock, votes per share		one
Class A Common Stock [Member] | Share Repurchase Program [Member]
Components Of Shareholders Equity [Line Items]
Number of shares authorized for repurchase		5,000,000		5,000,000
Class B Common Stock [Member]
Components Of Shareholders Equity [Line Items]
Common stock, votes per share		ten
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		789,000	48,000
Treasury stock repurchased, and treasury stock repurchased and retired, amount | $		$ 71,261	$ 3,444
Retirement of treasury stock, Shares		736,000
Treasury stock reissued to fund plan, shares		57,000	69,000
Treasury Stock [Member] | Class A Common Stock [Member]
Components Of Shareholders Equity [Line Items]
Shares repurchased by the company for associates' tax withholding liability associated with share-based compensation		53,000	48,000