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Share-Based Plans - Additional Information (Detail) - USD ($) $ / shares in Units, $ in Thousands	12 Months Ended
	Aug. 31, 2024	Aug. 26, 2023	Aug. 27, 2022
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Maximum percentage of discount on salary and bonus	25.00%
Share-based compensation expense	$ 106,246	$ 93,087	$ 70,612
Exercise period of vested options after death	1 year
Forfeiture rate	7.00%	10.00%	10.00%
Weighted average grant date fair value of options granted	$ 922.10	$ 764.68	$ 463.45
Intrinsic value of options exercised	$ 424,500	$ 424,600	$ 282,700
Total fair value of options vested	67,000	47,900	39,300
Share-based compensation expense for unvested awards not yet recognized in earnings	$ 103,600
Weighted average period recognition of share-based compensation expense for unvested awards	2 years 10 months 24 days
Expense related to the discount on the selling of shares to employees and executives	$ 3,100	$ 2,500	$ 3,200
Shares sold to employees under employee stock purchase plan	5,000	5,183	6,238
Shares purchased from employees at fair value			4,886
Common stock reserved for future issuance	117,341
Maximum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Exercise period of vested options after service period	90 days
Term of options granted	10 years
Share-Based Payment Arrangement, Employee
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Forfeiture rate	10.00%
Two Thousand Three Plan
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Accrued Director fees	$ 15,300	$ 11,800
Accrued director fees in shares	4,822
Additional shares of stock or units	0
Executive Stock Purchase Plan
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Shares sold to employees under employee stock purchase plan	540	689	709
Common stock reserved for future issuance	232,426
Omnibus Incentive Award Plan 2020 \| Share-Based Payment Arrangement, Employee
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Forfeiture rate	0.00%
Restricted Stock Units (RSUs)
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Service period	4 years
Non vested restricted stock unit award	$ 6,800
Estimated weighted average period	2 years 4 months 24 days
Stock Options
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Option-vesting periods	4 years
Stock Options \| Maximum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Option-vesting periods	5 years
Stock Options \| Minimum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Term of options from grant date	ten years
Option-vesting periods	4 years
2011 Equity Incentive Award Plan
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Debt instrument term	10 years