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Stockholders' Equity and Noncontrolling Interests - Repurchase table (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
12 Months Ended
Oct. 02, 2020
Sep. 27, 2019
Sep. 28, 2018
Equity [Abstract]      
Number (in shares) 0.6 1.4 1.6
Average repurchase price ($ per share) $ 133.02 $ 121.76 $ 112.63
Total cost $ 86.2 $ 166.7 $ 181.9