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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% |  |

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