Consolidated Statements of Shareholders' Equity (Unaudited) - USD ($) shares in Thousands, $ in Thousands		Total	Common Shares	Class B Common Stock	Common Stock Common Shares	Common Stock Class B Common Stock	Capital Surplus	Retained Earnings	Retained Earnings Common Shares	Retained Earnings Class B Common Stock	Accumulated Other Comprehensive Loss
Balance at beginning of period at Aug. 28, 2021		$ 1,872,952			$ 1,524	$ 364	$ 89,257	$ 1,806,643			$ (24,836)
Balance at beginning of period (in shares) at Aug. 28, 2021					15,236	3,643
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income		33,705						33,705
Change in fair value of derivatives		47									47
Foreign currency translation		(2,799)									(2,799)
Dividends declared Common Stock			$ (4,566)	$ (874)					$ (4,566)	$ (874)
Repurchase of Common Stock		(4,771)			$ (2)		(124)	(4,645)
Repurchase of common stock (in shares)					(23)
Share-based compensation, net	[1]	1,207					1,207
Share-based awards exercised, net (in shares)	[2]				7
Balance at end of period at Nov. 27, 2021		1,894,901			$ 1,522	$ 364	90,340	1,830,263			(27,588)
Balance at end of period (in shares) at Nov. 27, 2021					15,220	3,643
Balance at beginning of period at Aug. 28, 2021		1,872,952			$ 1,524	$ 364	89,257	1,806,643			(24,836)
Balance at beginning of period (in shares) at Aug. 28, 2021					15,236	3,643
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income		77,223
Foreign currency translation		(2,631)
Balance at end of period at May. 28, 2022		1,904,011			$ 1,512	$ 363	91,571	1,838,055			(27,490)
Balance at end of period (in shares) at May. 28, 2022					15,121	3,626
Balance at beginning of period at Nov. 27, 2021		1,894,901			$ 1,522	$ 364	90,340	1,830,263			(27,588)
Balance at beginning of period (in shares) at Nov. 27, 2021					15,220	3,643
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income		18,451						18,451
Change in fair value of derivatives		(55)									(55)
Foreign currency translation		1,149									1,149
Dividends declared Common Stock			(4,561)	(870)					(4,561)	(870)
Repurchase of Common Stock		(9,995)			$ (5)		(286)	(9,704)
Repurchase of common stock (in shares)					(53)
Share-based compensation, net	[1]	(48)					(48)
Share-based awards exercised, net	[2]	3			$ 3
Share-based awards exercised, net (in shares)	[2]				25
Shares converted					$ 1	$ (1)
Shares converted (in shares)					17	(17)
Balance at end of period at Feb. 26, 2022		1,898,975			$ 1,521	$ 363	90,006	1,833,579			(26,494)
Balance at end of period (in shares) at Feb. 26, 2022					15,209	3,626
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income		25,067						25,067
Change in fair value of derivatives		(14)									(14)
Foreign currency translation		(982)									(982)
Dividends declared Common Stock			(4,534)	(870)					(4,534)	(870)
Repurchase of Common Stock		(15,687)			$ (9)		(491)	(15,187)
Repurchase of common stock (in shares)					(90)
Share-based compensation, net	[1]	2,056					2,056
Share-based awards exercised, net (in shares)	[2]				2
Balance at end of period at May. 28, 2022		1,904,011			$ 1,512	$ 363	91,571	1,838,055			(27,490)
Balance at end of period (in shares) at May. 28, 2022					15,121	3,626
Balance at beginning of period at Aug. 27, 2022		1,915,871			$ 1,508	$ 359	93,131	1,845,163			(24,290)
Balance at beginning of period (in shares) at Aug. 27, 2022					15,075	3,590
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income		33,957						33,957
Change in fair value of derivatives		52									52
Foreign currency translation		(1,778)									(1,778)
Dividends declared Common Stock			(4,680)	(890)					(4,680)	(890)
Share-based compensation, net	[1]	(567)					(567)
Share-based awards exercised, net	[2]	1			$ 1
Share-based awards exercised, net (in shares)	[2]				20
Balance at end of period at Nov. 26, 2022		1,941,966			$ 1,509	$ 359	92,564	1,873,550			(26,016)
Balance at end of period (in shares) at Nov. 26, 2022					15,095	3,590
Balance at beginning of period at Aug. 27, 2022		1,915,871			$ 1,508	$ 359	93,131	1,845,163			(24,290)
Balance at beginning of period (in shares) at Aug. 27, 2022					15,075	3,590
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income		76,043
Foreign currency translation		(2,489)
Balance at end of period at May. 27, 2023		1,976,851			$ 1,510	$ 359	97,154	1,904,490			(26,662)
Balance at end of period (in shares) at May. 27, 2023					15,103	3,590
Balance at beginning of period at Nov. 26, 2022		1,941,966			$ 1,509	$ 359	92,564	1,873,550			(26,016)
Balance at beginning of period (in shares) at Nov. 26, 2022					15,095	3,590
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income		17,810						17,810
Change in fair value of derivatives		59									59
Foreign currency translation		(1,473)									(1,473)
Dividends declared Common Stock			(4,682)	(890)					(4,682)	(890)
Share-based compensation, net	[1]	2,297					2,297
Share-based awards exercised, net	[2]	1			$ 1
Share-based awards exercised, net (in shares)	[2]				8
Balance at end of period at Feb. 25, 2023		1,955,088			$ 1,510	$ 359	94,861	1,885,788			(27,430)
Balance at end of period (in shares) at Feb. 25, 2023					15,103	3,590
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income		24,276						24,276
Change in fair value of derivatives		6									6
Foreign currency translation		762									762
Dividends declared Common Stock			$ (4,684)	$ (890)					$ (4,684)	$ (890)
Share-based compensation, net	[1]	2,293					2,293
Balance at end of period at May. 27, 2023		$ 1,976,851			$ 1,510	$ 359	$ 97,154	$ 1,904,490			$ (26,662)
Balance at end of period (in shares) at May. 27, 2023					15,103	3,590

[1] These amounts are shown net of any shares withheld by the Company to satisfy certain tax withholding obligations in connection with the vesting of certain restricted stock units.

[2] These amounts are shown net of the effect of income taxes.