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Stockholders' Deficit (Details)
$ / shares in Units, $ in Thousands, shares in Millions
12 Months Ended
Oct. 02, 2022
USD ($)
restaurant
$ / shares
shares
Oct. 03, 2021
USD ($)
$ / shares
Sep. 27, 2020
USD ($)
$ / shares
Dividends Payable [Line Items]      
Shares repurchased (in shares) | shares 0.3    
Cost of shares repurchased | $ $ 25,000 $ 200,000 $ 153,550
Remaining amount under stock repurchase program | $ $ 175,000    
Number of cash dividends declared | restaurant 4    
Cash dividends declared per common share (in usd per share) $ 1.76 $ 1.68 $ 1.20
Total cash dividends | $ $ 37,200    
Dividends Declared, Tranche One      
Dividends Payable [Line Items]      
Cash dividends declared per common share (in usd per share) $ 0.44    
Dividends Declared, Tranche Two      
Dividends Payable [Line Items]      
Cash dividends declared per common share (in usd per share) 0.44    
Dividends Declared, Tranche Three      
Dividends Payable [Line Items]      
Cash dividends declared per common share (in usd per share) 0.44    
Dividends Declared, Tranche Four      
Dividends Payable [Line Items]      
Cash dividends declared per common share (in usd per share) $ 0.44