Consolidated Statements of Shareholders' Equity - USD ($) shares in Thousands, $ in Thousands		Total	Common Stock	Class B Common Stock	Common Stock Common Stock	Common Stock Class B Common Stock	Capital Surplus	Retained Earnings	Accumulated Other Comprehensive Loss
Balance at beginning of period at Aug. 27, 2016		$ 1,364,781			$ 1,542	$ 485	$ 72,561	$ 1,319,142	$ (28,949)
Balance at beginning of period (in shares) at Aug. 27, 2016			15,415	4,849
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income		70,196						70,196
Pension benefit liabilities, net	[1]	2,774							2,774
Change in fair value of derivatives		(225)							(225)
Foreign currency translation		4,882							4,882
Dividends declared		(2,900)						(2,900)
Shares converted					3	(3)
Shares converted (in shares)			34	(34)
Share-based compensation, net	[2]	10,067			(5)		10,072
Share-based compensation, net (in shares)	[2]		(47)
Share-based awards exercised, net	[1]	3,617			5		3,612
Share-based awards exercised, net (in shares)	[1]		51
Balance at end of period at Aug. 26, 2017		1,453,192			1,545	482	86,245	1,386,438	(21,518)
Balance at end 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, net		1,342
Pension benefit liabilities, including reclassification from AOCI for tax cuts and jobs act of 2017	[1]	2,534						1,192	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],[3]	461			5		456
Share-based awards exercised, net (in shares)	[1],[3]		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			1,543	371	82,973	1,405,239	(25,159)
Balance at end of period (in shares) at Aug. 25, 2018			15,431	3,710
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]
Cumulative effect of change in accounting principle		$ 41,368						$ 41,368

[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.

[3] These amounts include excess tax benefits that the Company realized as part of the exercise of share-based awards.