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Stockholders' Deficit (Details)
$ / shares in Units, $ in Thousands, shares in Millions
3 Months Ended 4 Months Ended 12 Months Ended
Oct. 03, 2021
USD ($)
$ / shares
Jul. 04, 2021
$ / shares
Apr. 11, 2021
$ / shares
Jan. 17, 2021
$ / shares
Oct. 03, 2021
USD ($)
restaurant
$ / shares
shares
Sep. 27, 2020
USD ($)
$ / shares
Sep. 29, 2019
USD ($)
$ / shares
Stockholders' Equity Note [Abstract]              
Shares repurchased (in shares) | shares         1.9    
Cost of shares repurchased         $ 200,000 $ 153,550 $ 125,317
Remaining amount under stock repurchase program $ 0       $ 0    
Number of cash dividends declared | restaurant         4    
Amount of each of the three cash dividends declared per common share (in usd per share) | $ / shares $ 0.44 $ 0.44 $ 0.40 $ 0.40 $ 1.68 $ 1.20 $ 1.60
Total cash dividends         $ 37,600