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Debt - Interest Expense Disclosure (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
May 27, 2022
May 28, 2021
May 27, 2022
May 28, 2021
Debt Instrument [Line Items]        
Amortization of debt discount and issuance costs     $ 7,476 $ 6,503
2.25% Convertible Senior Notes Due 2026        
Debt Instrument [Line Items]        
Contractual stated interest $ 1,438 $ 1,438 4,219 4,219
Amortization of debt discount and issuance costs 2,242 2,088 6,702 6,247
Total interest cost recognized $ 3,680 $ 3,526 $ 10,921 $ 10,466