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Income Taxes - Reconciliation of Unrecognized Tax Benefits (Details) - USD ($)
$ in Thousands
12 Months Ended
Aug. 31, 2024
Aug. 26, 2023
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]    
Beginning balance $ 7,751 $ 6,417
Additions based on tax positions related to the current year 1,069 1,042
Additions for tax positions of prior years 142 840
Reduction for tax positions of prior years (4,257) (219)
Statute expirations (67) (329)
Ending balance $ 4,638 $ 7,751