Overview, Basis of Presentation and Significant Accounting Policies - Share-Based Compensation Expense by Category (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	May 28, 2021	May 29, 2020	May 28, 2021	May 29, 2020
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items]
Share-based compensation expense	$ 8,381	$ 4,907	$ 24,867	$ 15,510
Cost of Sales
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items]
Share-based compensation expense	1,166	699	2,807	2,161
Research & Development
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items]
Share-based compensation expense	1,468	780	3,056	2,306
Selling, General and Administrative
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items]
Share-based compensation expense	$ 5,747	$ 3,428	$ 19,004	$ 11,043