Accumulated Other Comprehensive Loss - Reclassification out of AOCI (Details) - USD ($) $ in Thousands	12 Months Ended
	Aug. 27, 2022	Aug. 28, 2021	Aug. 29, 2020
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]
Selling, general, and administrative expenses	$ 316,420	$ 228,581	$ 177,061
Interest expense	41,313	40,365	37,461
Net income	390,636	281,871	61,442
Reclassification out of Accumulated Other Comprehensive Income
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]
Net income	37	35	465
Amortization of net actuarial loss | Reclassification out of Accumulated Other Comprehensive Income
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]
Selling, general, and administrative expenses	37	35	33
Interest rate contract | Reclassification out of Accumulated Other Comprehensive Income
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]
Interest expense	$ 0	$ 0	$ 432