Consolidated Statements of Shareholders' Equity - USD ($) shares in Thousands, $ in Thousands		Total	Cumulative Effect, Period of Adoption, Adjustment	Common Stock Common Shares	Common Stock Common Shares Cumulative Effect, Period of Adoption, Adjustment	Common Stock Class B Common Stock	Capital Surplus	Retained Earnings	Retained Earnings Cumulative Effect, Period of Adoption, Adjustment	Accumulated Other Comprehensive Loss
Balance at beginning of period at Aug. 26, 2017		$ 1,453,192		$ 1,545		$ 482	$ 86,245	$ 1,386,438		$ (21,518)
Balance at beginning of period (in shares) at Aug. 26, 2017				15,453		4,815
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income		163,895						163,895
Pension benefit liabilities, including reclassification from AOCI for tax cuts and jobs act of 2017	[1]	2,534						1,192		1,342
Pension benefit liabilities, net		1,342
Change in fair value of derivatives		201								201
Foreign currency translation		(5,184)								(5,184)
Dividends declared		(5,586)						(5,586)
Share-based compensation, net	[2]	1,466					2,204	(738)
Share-based awards exercised, net	[1]	461		$ 5			456
Share-based awards exercised, net (in shares)	[1]			51
Repurchase of Common Stock		(146,012)		$ (7)		$ (111)	(5,932)	(139,962)
Repurchase of common stock (in shares)				(73)		(1,105)
Balance at end of period at Aug. 25, 2018		1,464,967	$ 41,368	$ 1,543		$ 371	82,973	1,405,239	$ 41,368	(25,159)
Balance at end of period (in shares) at Aug. 25, 2018				15,431		3,710
Accounting Standards Update [Extensible List]			us-gaap:AccountingStandardsUpdate201409Member		us-gaap:AccountingStandardsUpdate201409Member				us-gaap:AccountingStandardsUpdate201409Member
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income		179,134						179,134
Pension benefit liabilities, net	[1]	(5,104)								(5,104)
Change in fair value of derivatives		99								99
Foreign currency translation		(3,524)								(3,524)
Dividends declared		(8,243)						(8,243)
Shares converted				$ 7		$ (7)
Shares converted (in shares)				67		(67)
Share-based compensation, net	[2]	2,997					2,997
Share-based awards exercised, net	[1]	51		$ 3			48
Share-based awards exercised, net (in shares)	[1]			32
Repurchase of Common Stock		(30,515)		$ (20)			(1,072)	(29,423)
Repurchase of common stock (in shares)				(197)
Balance at end of period at Aug. 31, 2019		1,641,230		$ 1,533		$ 364	84,946	1,588,075		(33,688)
Balance at end 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

[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 shares of restricted stock.