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Equity Plans - Summary of Aggregate Restricted Award Activity and Assumptions (Details) - Restricted Award Activity - USD ($)
$ / shares in Units, shares in Thousands, $ in Thousands
3 Months Ended 9 Months Ended
May 27, 2022
May 28, 2021
May 27, 2022
May 28, 2021
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Awards granted (in shares) 935 3,079 1,581 4,513
Weighted average grant-date fair value per share (in usd per share) $ 24.25 $ 19.97 $ 25.96 $ 17.65
Aggregate vesting-date fair value of shares vested $ 24,099 $ 7,281 $ 42,326 $ 18,689