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 (in shares) at Aug. 26, 2023			15,104	3,590
Beginning balance at Aug. 26, 2023		$ 2,003,960	$ 1,510	$ 359	$ 99,303	$ 1,926,549	$ (23,761)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income		145,474				145,474
Pension benefit liabilities, net	[1]	(348)					(348)
Change in fair value of derivatives	[1]	(73)					(73)
Foreign currency translation		538					538
Dividends declared		(23,670)				(23,670)
Share-based compensation, net	[2]	6,534			6,534
Share-based awards exercised, net (in shares)	[1]		36
Share-based awards exercised, net	[1]	4	$ 4
Repurchase of Common Stock (in shares)	[3]		(140)
Repurchase of Common Stock	[3]	(23,908)	$ (14)		(1,046)	(22,848)
Balance at end of period (in shares) at Aug. 31, 2024			15,000	3,590
Ending balance at Aug. 31, 2024		2,108,511	$ 1,500	$ 359	104,791	2,025,505	(23,644)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income		148,271				148,271
Pension benefit liabilities, net	[1]	1,877					1,877
Change in fair value of derivatives	[1]	(28)					(28)
Foreign currency translation		10					10
Dividends declared		(24,858)				(24,858)
Share-based compensation, net	[2]	7,699			7,699
Share-based awards exercised, net (in shares)	[1]		43
Share-based awards exercised, net	[1]	4	$ 4
Repurchase of Common Stock (in shares)	[3]		(403)
Repurchase of Common Stock	[3]	(72,529)	$ (40)		(3,383)	(69,106)
Shares converted (in shares)			39	(39)
Shares converted		0	$ 4	$ (4)
Balance at end of period (in shares) at Aug. 30, 2025			14,679	3,551
Ending balance at Aug. 30, 2025		2,168,957	$ 1,468	$ 355	109,107	2,079,812	(21,785)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income		109,490				109,490
Pension benefit liabilities, net	[1]	733					733
Change in fair value of derivatives	[1]	(60)					(60)
Foreign currency translation		(677)					(677)
Dividends declared		(25,354)				(25,354)
Share-based compensation, net	[2]	7,884			7,884
Share-based awards exercised, net (in shares)	[1]		50
Share-based awards exercised, net	[1]	5	$ 5
Repurchase of Common Stock (in shares)	[3]		(194)
Repurchase of Common Stock	[3]	(31,853)	$ (19)		(1,622)	(30,212)
Balance at end of period (in shares) at Aug. 29, 2026			14,535	3,551
Ending balance at Aug. 29, 2026		$ 2,229,125	$ 1,454	$ 355	$ 115,369	$ 2,133,736	$ (21,789)

[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 withholding obligations in connection with the vesting of certain restricted stock units.

[3] These amounts are shown net of the effect of excise taxes.