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Stockholders' Equity, Share Repurchases (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Sep. 30, 2023
Oct. 01, 2022
Oct. 02, 2021
Stockholders' Equity [Abstract]      
Number of shares repurchased (in shares) 9,800,000 12,200,000 0
Shares repurchased and retired $ 601 $ 709  
Average price of shares repurchased (in dollars per share) $ 61 $ 58.3  
Common stock, par value (in dollars per share) $ 0.01 $ 0.01  
Remaining amount of share repurchase program $ 442