Share-based Compensation - Summary of Share-Based Award Activity for Stock Options and Stock Appreciation Rights (Details)	12 Months Ended
	Aug. 28, 2021 $ / shares shares
Number of Shares
Outstanding at beginning of period (in shares) | shares	494,933
Granted | shares	36,725
Exercised | shares	(117,693)
Forfeited | shares	(19,791)
Outstanding at end of period (in shares) | shares	394,174
Exercisable at end of period (in shares) | shares	95,235
Weighted Average Exercise Price
Outstanding at beginning of period (in dollars per share) | $ / shares	$ 132.14
Granted | $ / shares	172.58
Exercised | $ / shares	104.55
Forfeited | $ / shares	133.66
Outstanding at end of period (in dollars per share) | $ / shares	144.07
Exercisable at end of period (in dollars per share) | $ / shares	$ 121.59