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Investments and Fair Value Measurements - Narrative (Details) - USD ($)
12 Months Ended
Aug. 26, 2023
Aug. 27, 2022
Aug. 28, 2021
Fair Value, Measurements, Nonrecurring      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Asset impairment charges $ 0 $ 0 $ 0