Consolidated Statements of Shareholders' Equity - USD ($) shares in Thousands, $ in Thousands		Total	Common Stock Common Shares	Common Stock Class B Common Stock	Capital Surplus	Retained Earnings	Accumulated Other Comprehensive Loss
Balance at beginning of period at Aug. 31, 2019		$ 1,641,230	$ 1,533	$ 364	$ 84,946	$ 1,588,075	$ (33,688)
Balance at beginning of period (in shares) at Aug. 31, 2019			15,333	3,643
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income		135,770				135,770
Pension benefit liabilities, net	[1]	(787)					(787)
Change in fair value of derivatives		(126)					(126)
Foreign currency translation		2,631					2,631
Dividends declared		(18,185)				(18,185)
Share-based compensation, net	[2]	2,268			2,268
Share-based awards exercised, net	[1]	73	$ 3		70
Share-based awards exercised, net (in shares)	[1]		36
Repurchase of Common Stock		(21,745)	$ (11)		(639)	(21,095)
Repurchase of common stock (in shares)			118
Balance at end of period at Aug. 29, 2020		1,741,129	$ 1,525	$ 364	86,645	1,684,565	(31,970)
Balance at end of period (in shares) at Aug. 29, 2020			15,251	3,643
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income		151,111				151,111
Pension benefit liabilities, net	[1]	2,960					2,960
Change in fair value of derivatives		(34)					(34)
Foreign currency translation		4,208					4,208
Dividends declared		(18,147)				(18,147)
Share-based compensation, net	[2]	2,943			2,943
Share-based awards exercised, net	[1]	4	$ 4
Share-based awards exercised, net (in shares)	[1]		46
Repurchase of Common Stock		(11,222)	$ (5)		(331)	(10,886)
Repurchase of common stock (in shares)			(61)
Balance at end of period at Aug. 28, 2021		1,872,952	$ 1,524	$ 364	89,257	1,806,643	(24,836)
Balance at end of period (in shares) at Aug. 28, 2021			15,236	3,643
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income		103,404				103,404
Pension benefit liabilities, net	[1]	7,518					7,518
Change in fair value of derivatives		30					30
Foreign currency translation		(7,002)					(7,002)
Dividends declared		(21,658)				(21,658)
Shares converted			$ 1	$ (1)
Shares converted (in shares)			17	(17)
Share-based compensation, net	[2]	5,035			5,035
Share-based awards exercised, net	[1]	4	$ 4
Share-based awards exercised, net (in shares)	[1]		36
Repurchase of Common Stock		(44,412)	$ (21)	$ (4)	(1,161)	(43,226)
Repurchase of common stock (in shares)			(214)	(36)
Balance at end of period at Aug. 27, 2022		$ 1,915,871	$ 1,508	$ 359	$ 93,131	$ 1,845,163	$ (24,290)
Balance at end of period (in shares) at Aug. 27, 2022			15,075	3,590

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

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