Fair Value Measurements - Company's Marketable Debt Securities Measured at Fair Value on Recurring Basis (Detail) - USD ($) $ in Thousands	Aug. 27, 2022	Aug. 28, 2021
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Total	$ 112,545	$ 113,918
Fair Value, Measurements, Recurring
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Other current assets	49,768	46,007
Other long-term assets	62,777	67,911
Total	112,545	113,918
Level 1 | Fair Value, Measurements, Recurring
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Other current assets	49,659	46,007
Other long-term assets	57,301	54,105
Total	106,960	100,112
Level 2 | Fair Value, Measurements, Recurring
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Other current assets	109
Other long-term assets	5,476	13,806
Total	$ 5,585	$ 13,806