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Income Taxes - Reconciliation of Unrecognized Tax Benefits (Details) - USD ($)
$ in Thousands
12 Months Ended
Aug. 26, 2023
Aug. 27, 2022
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]    
Beginning balance $ 6,417 $ 9,321
Additions based on tax positions related to the current year 1,042 489
Additions for tax positions of prior years 840 107
Reduction for tax positions of prior years (219) (3,013)
Statute expirations (329) (487)
Ending balance $ 7,751 $ 6,417