Consolidated Statements of Comprehensive Income - USD ($) $ in Thousands		12 Months Ended
		Aug. 28, 2021	Aug. 29, 2020	Aug. 31, 2019
Statement Of Income And Comprehensive Income [Abstract]
Net income		$ 151,111	$ 135,770	$ 179,134
Other comprehensive (loss) income:
Foreign currency translation adjustments		4,208	2,631	(3,524)
Pension benefit liabilities, net of income taxes	[1]	2,960	(787)	(5,104)
Change in fair value of derivatives, net of income taxes		(68)	25	252
Derivative financial instruments reclassified to earnings		34	(151)	(153)
Other comprehensive (loss) income		7,134	1,718	(8,529)
Comprehensive income		$ 158,245	$ 137,488	$ 170,605

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