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Stock-Based Compensation (Narrative) (Details) - USD ($) $ / shares in Units, $ in Millions	12 Months Ended
	Oct. 02, 2021	Oct. 03, 2020	Sep. 28, 2019
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Shares available for future grant	9,463,920
Cash received from exercise of stock options	$ 41	$ 30	$ 99
Stock Options [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based Compensation Arrangement by Share-based Payment Award, Fair Value Assumptions, Expected Dividend Rate	3.40%	2.00%	2.50%
Vesting period	3 years
Expiration period	10 years
Grant-date fair value of options granted	$ 11.03	$ 16.77	$ 11.35
Stock-based compensation expense, net of income taxes	$ 19	$ 16	$ 16
Related tax benefit	$ 4	$ 4	$ 3
Options vested (in shares)	1,900,000	1,300,000	1,200,000
Grant date fair value of options vested	$ 25	$ 17	$ 18
Cash received from exercise of stock options	41	30	99
Tax benefit related to stock options exercised	5	6	21
Total intrinsic value of options exercised	20	21	79
Amount realized, related to excess tax deductions	2	4	14
Total unrecognized compensation cost related to stock option plans	$ 21
Total unrecognized compensation cost, time frame for recognition, weighted average number of years	1 year 4 months 24 days
Restricted Stock [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation expense, net of income taxes	$ 35	36	26
Related tax benefit	$ 9	$ 9	$ 8
Total unrecognized compensation cost, time frame for recognition, weighted average number of years	1 year 9 months 18 days
Number of Shares - Vested	(481,648)	(600,000)	(500,000)
Restricted stock awards, grant date fair value of shares vested	$ 37	$ 34	$ 29
Total unrecognized compensation cost related to share-based awards other than options	$ 46
Performance Shares [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting period	3 years
Stock-based compensation expense, net of income taxes	$ 19	18	16
Related tax benefit	$ 4	$ 4	$ 4
Total unrecognized compensation cost, time frame for recognition, weighted average number of years	1 year 9 months 18 days
Number of Shares - Vested	(167,546)
Total unrecognized compensation cost related to share-based awards other than options	$ 31
Performance Shares [Member] | Minimum [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting rights, performance criteria	0.00%
Performance Shares [Member] | Maximum [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting rights, performance criteria	200.00%

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