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Equity Plans - Share Based Awards (Details) - $ / shares
shares in Millions
3 Months Ended 9 Months Ended
Jun. 03, 2021
May 28, 2020
Jun. 03, 2021
May 28, 2020
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Number of shares available for future awards (in shares) 105   105  
Restricted stock awards        
Restricted Stock and Restricted Stock Units ("Restricted Stock Awards")        
Number of Shares - Granted (in shares) 1 0 11 8
Weighted Average Grant Date Fair Value Per Share - Granted (in dollars per share) $ 84.73 $ 45.78 $ 53.00 $ 46.37
Employee stock purchase plan        
Employee Stock Purchase Plan ("ESPP")        
Shares purchased     2 2
Purchase price per share $ 42.55 $ 38.16 $ 42.55 $ 38.16