Stock-Based Compensation (Narrative) (Details) - USD ($) $ / shares in Units, $ in Millions	12 Months Ended
	Oct. 03, 2020	Sep. 28, 2019	Sep. 29, 2018
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Shares available for future grant	9,979,081
Cash received from exercise of stock options	$ 30	$ 99	$ 102
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	2.00%	2.50%	1.50%
Vesting period	3 years
Expiration period	10 years
Grant-date fair value of options granted	$ 16.77	$ 11.35	$ 18.31
Stock-based compensation expense, net of income taxes	$ 16	$ 16	$ 13
Related tax benefit	$ 4	$ 3	$ 6
Options vested (in shares)	1,300,000	1,200,000	2,200,000
Grant date fair value of options vested	$ 17	$ 18	$ 27
Cash received from exercise of stock options	30	99	102
Tax benefit related to stock options exercised	6	21	30
Total intrinsic value of options exercised	21	79	103
Amount realized, related to excess tax deductions	4	14	20
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 3 months 18 days
Restricted Stock [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation expense, net of income taxes	$ 36	26	22
Related tax benefit	$ 9	$ 8	$ 9
Total unrecognized compensation cost, time frame for recognition, weighted average number of years	1 year 9 months 18 days
Number of Shares - Vested	(556,632)	(500,000)	(600,000)
Restricted stock awards, grant date fair value of shares vested	$ 34	$ 29	$ 27
Total unrecognized compensation cost related to share-based awards other than options	$ 49
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	$ 18	16	12
Related tax benefit	$ 4	$ 4	$ 5
Total unrecognized compensation cost, time frame for recognition, weighted average number of years	1 year 10 months 24 days
Number of Shares - Vested	(344,870)
Total unrecognized compensation cost related to share-based awards other than options	$ 33
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%