Share-Based Payments - Additional Information (Detail) - USD ($)	12 Months Ended
	Aug. 31, 2019	Aug. 25, 2018	Aug. 26, 2017
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Weighted average grant date fair value of options granted	$ 208.37	$ 129.12	$ 139.80
Total share-based compensation expense related to stock options and share purchase plans	$ 43,255,000	$ 43,674,000	$ 38,244,000
Exercise period of vested options after death	1 year
Restricted stock units granted under Director Compensation Program, description	Under the 2011 Program, restricted stock units were granted the first day of each calendar quarter. The number of restricted stock units granted each quarter was determined by dividing one-fourth of the amount of the annual retainer by the fair market value of the shares of common stock as of the grant date.
Intrinsic value of options exercised	$ 227,400,000	123,100,000	93,900,000
Total fair value of options vested	34,500,000	35,700,000	34,700,000
Expense related to the discount on the selling of shares to employees and executives	$ 2,800,000	$ 2,100,000	$ 1,800,000
Shares sold to employees under employee stock purchase plan	11,011	14,523	14,205
Shares purchased from employees at fair value	17,201	11,816	12,455
Common stock reserved for future issuance	152,766
Maximum [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Exercise period of vested options after service period	90 days
Minimum [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Exercise period of vested options after service period	30 days
2003 Comp Plan [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Accrued Director fees	$ 11,200,000	$ 13,600,000
Additional shares of stock or units	0
Accrued Director fees in shares	10,206	17,710
Restated Executive Stock Purchase Plan [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total share-based compensation expense related to stock options and share purchase plans	$ 43,300,000	$ 43,700,000	$ 38,200,000
Share-based compensation expense for unvested awards not yet recognized in earnings	$ 34,300,000
Weighted average period recognition of share-based compensation expense for unvested awards	1 year 8 months 12 days
Shares sold to employees under employee stock purchase plan	1,483	1,840	1,865
Common stock reserved for future issuance	236,565
Restricted Stock Units (RSUs) [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Non vested restricted stock unit award	$ 5,600,000
Estimated weighted average period	3 years 1 month 6 days
Stock Options [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Term of options from grant date	10 years or 10 years and one day