Stockholders' Equity, Share Repurchases (Details) - USD ($) $ / shares in Units, $ in Millions	12 Months Ended
Oct. 02, 2021	Sep. 26, 2020	Sep. 28, 2019
Stockholders' Equity [Abstract]
Number of shares repurchased (in shares)	0	0	1,500,000
Shares repurchased and retired			$ 72
Average price of shares repurchased (in dollars per share)			$ 47.64
Common stock, par value (in dollars per share)		$ 0.01

Equity impact of the value of stock that has been repurchased and retired during the period. The excess of the purchase price over par value can be charged against retained earnings (once the excess is fully allocated to additional paid in capital).

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