Stock-Based Compensation Plans - Stock Option Activity (Details) $ / shares in Units, $ in Thousands	12 Months Ended
	Aug. 27, 2022 USD ($) $ / shares shares
Stock Options
Outstanding beginning balance (in shares) | shares	317,903
Granted (in shares) | shares	44,040
Exercised (in shares) | shares	(30,113)
Forfeited/canceled (in shares) | shares	(9,723)
Outstanding ending balance (in shares) | shares	322,107
Vested and expected to vest at end of year (in shares) | shares	322,107
Exercisable at end of year (in shares) | shares	232,549
Weighted Average Exercise Price Per Share
Outstanding beginning balance (in dollars per share) | $ / shares	$ 40.41
Granted (in dollars per share) | $ / shares	75.59
Exercised (in dollars per share) | $ / shares	36.24
Forfeited/canceled (in dollars per share) | $ / shares	60.27
Outstanding ending balance (in dollars per share) | $ / shares	44.75
Vested and expected to vest at end of year (in dollars per share) | $ / shares	44.75
Exercisable at end of year (in dollars per share) | $ / shares	$ 37.77
Weighted Average Remaining Contractual Term (in years)
Outstanding	6 years 6 months
Vested and expected to vest	6 years 6 months
Exercisable	5 years 9 months 18 days
Aggregate Intrinsic Value
Outstanding | $	$ 5,886
Vested and expected to vest | $	5,886
Exercisable | $	$ 5,454