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Income Taxes - Reconciliation of Unrecognized Tax Benefits (Details) - USD ($)
$ in Thousands
12 Months Ended
Aug. 27, 2022
Aug. 28, 2021
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]    
Beginning balance $ 9,321 $ 6,330
Additions based on tax positions related to the current year 489 637
Additions for tax positions of prior years 107 3,552
Reduction for tax positions of prior years (3,013) (287)
Statute expirations (487) (911)
Ending balance $ 6,417 $ 9,321