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Stock Repurchase and Dividends - Schedule of Dividends Declared and Paid (Details) - USD ($)
$ / shares in Units, $ in Thousands
12 Months Ended
Sep. 03, 2021
May 28, 2021
Feb. 26, 2021
Dec. 11, 2020
Sep. 04, 2020
May 29, 2020
Feb. 28, 2020
Dec. 13, 2019
Oct. 03, 2021
Sep. 27, 2020
Sep. 29, 2019
Stock Repurchase And Dividends [Abstract]                      
Dividend paid per share (in dollars per share) $ 0.20 $ 0.20 $ 0.17 $ 0.17 $ 0.17 $ 0.17 $ 0.15 $ 0.15 $ 0.74 $ 0.64 $ 0.54
Dividends paid $ 10,800 $ 10,831 $ 9,212 $ 9,198 $ 9,153 $ 9,175 $ 8,225 $ 8,190 $ 40,041 $ 34,743