Share-based Compensation - Summary of Share-Based Award Activity for Stock Options and Stock Appreciation Rights (Details)	12 Months Ended
	Aug. 26, 2023 $ / shares shares
Number of Shares
Outstanding at beginning of period (in shares) | shares	368,348
Granted | shares	30,679
Expired | shares	(770)
Exercised | shares	(49,471)
Forfeited | shares	(1,169)
Outstanding at end of period (in shares) | shares	347,617
Exercisable at end of period (in shares) | shares	258,173
Weighted Average Exercise Price
Outstanding at beginning of period (in dollars per share) | $ / shares	$ 151.93
Granted | $ / shares	186.28
Expired | $ / shares	175.86
Exercised | $ / shares	126.69
Forfeited | $ / shares	159.83
Outstanding at end of period (in dollars per share) | $ / shares	158.47
Exercisable at end of period (in dollars per share) | $ / shares	$ 150.86