Share-based Compensation - Summary of Share-Based Award Activity for Restricted Stock Units (Details) - Restricted Stock Units (RSUs)	12 Months Ended
	Aug. 27, 2022 $ / shares shares
Number of Shares
Outstanding at beginning of period (in shares) | shares	94,558
Shares granted (in shares) | shares	41,875
Vested | shares	(39,131)
Forfeited | shares	(5,602)
Outstanding at end of period (in shares) | shares	91,700
Weighted Average Grant Price
Outstanding at beginning of period (in dollars per share) | $ / shares	$ 178.78
Granted | $ / shares	199.05
Vested | $ / shares	179.12
Forfeited | $ / shares	186.40
Outstanding at end of period (in dollars per share) | $ / shares	$ 187.43