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Stock-Based Compensation (Narrative) (Details) - USD ($) $ / shares in Units, $ in Millions	12 Months Ended
	Oct. 03, 2015	Sep. 27, 2014	Sep. 28, 2013
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Shares available for future grant	24,293,913
Stock Options [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting period	3 years
Expiration period	10 years
Grant-date fair value of options granted	$ 11.51	$ 10.83	$ 6.44
Stock-based compensation expense, net of income taxes	$ 27	$ 20	$ 14
Related tax benefit	$ 17	$ 13	$ 9
Options vested (in shares)	3,800,000	4,800,000	3,900,000
Grant date fair value of options vested	$ 32	$ 30	$ 22
Cash received from exercise of stock options	84	67	123
Tax benefit related to stock options exercised	30	33	35
Total intrinsic value of options exercised	79	87	90
Amount realized, related to excess tax deductions	19	24	18
Total unrecognized compensation cost related to stock option plans	$ 45
Total unrecognized compensation cost, time frame for recognition, weighted average number of years	1 year 5 months
Restricted Stock [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation expense, net of income taxes	$ 9	6	5
Related tax benefit	$ 6	$ 4	$ 3
Number of Shares - Vested	(520,964)	(600,000)	(1,400,000)
Total unrecognized compensation cost, time frame for recognition, weighted average number of years	2 years 1 month
Total unrecognized compensation cost related to share-based awards other than options	$ 24
Restricted stock awards, grant date fair value of shares vested	$ 10	$ 11	$ 20
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	$ 5	4	2
Related tax benefit	$ 3	$ 2	$ 2
Number of Shares - Vested	(25,922)
Total unrecognized compensation cost, time frame for recognition, weighted average number of years	1 year 8 months
Total unrecognized compensation cost related to share-based awards other than options	$ 11
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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- Definition

Represents the expense recognized during the period arising from equity-based compensation arrangements (for example, shares of stock, unit, stock options or other equity instruments) with employees, directors and certain consultants qualifying for treatment as employees.

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Aggregate proceeds received by the entity during the annual period from exercises of stock or unit options and conversion of similar instruments granted under equity-based payment arrangements.

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Weighted average period over which unrecognized compensation is expected to be recognized for equity-based compensation plans, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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Period from grant date that an equity-based award expires, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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