Share-Based Compensation - Schedule of Weighted Average Assumptions (Details) - Stock Appreciation Rights (SARs)	12 Months Ended
	Aug. 29, 2026	Aug. 30, 2025	Aug. 31, 2024
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Risk-free interest rate	3.79%	4.26%	4.85%
Expected dividend yield	0.82%	0.70%	0.80%
Expected life (in years)	5 years 8 months 8 days	5 years 7 months 24 days	5 years 6 months 14 days
Expected volatility	31.80%	29.80%	29.40%