Revenue and Customer Contract Balances - Additional information (Details) - USD ($) $ in Millions	9 Months Ended
	May 26, 2023	Aug. 26, 2022
Disaggregation Of Revenue [Line Items]
Expected revenue recognized on remaining performance obligations	$ 70.7
Revenue recognized	25.1
Estimates of consideration payable to customers, including estimates for pricing adjustments and returns	10.6	$ 15.4
Customer Advances
Disaggregation Of Revenue [Line Items]
Revenue recognized	18.9
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date: 2023-05-27
Disaggregation Of Revenue [Line Items]
Expected revenue recognized on remaining performance obligations	$ 53.7
Revenue, remaining performance obligation, expected timing of satisfaction, period	12 months