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Stock-Based Compensation Plans - Stock Option Activity (Details)
$ / shares in Units, $ in Thousands
 12 Months Ended
Aug. 28, 2021
USD ($)
$ / shares
shares
Stock Options  
Outstanding beginning balance (in shares) | shares 292,444
Granted (in shares) | shares 54,836
Exercised (in shares) | shares (22,607)
Forfeited/canceled (in shares) | shares (6,770)
Outstanding ending balance (in shares) | shares 317,903
Vested and expected to vest at end of year (in shares) | shares 317,903
Exercisable at end of year (in shares) | shares 195,873
Weighted Average Exercise Price Per Share  
Outstanding beginning balance (in dollars per share) | $ / shares $ 36.96
Granted (in dollars per share) | $ / shares 54.49
Exercised (in dollars per share) | $ / shares 33.59
Forfeited/canceled (in dollars per share) | $ / shares 40.75
Outstanding ending balance (in dollars per share) | $ / shares 40.14
Vested and expected to vest at end of year (in dollars per share) | $ / shares 40.14
Exercisable at end of year (in dollars per share) | $ / shares $ 36.19
Weighted Average Remaining Contractual Term (in years)  
Outstanding 7 years 1 month 6 days
Vested and expected to vest 7 years 1 month 6 days
Exercisable 6 years 4 months 24 days
Aggregate Intrinsic Value  
Outstanding | $ $ 10,480
Vested and expected to vest | $ 10,480
Exercisable | $ $ 7,231