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Stock-Based Compensation (Narrative) (Details) - USD ($) $ / shares in Units, $ in Millions	12 Months Ended
	Oct. 01, 2016	Oct. 03, 2015	Sep. 27, 2014
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Shares available for future grant	20,726,621
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	$ 11.47	$ 11.51	$ 10.83
Stock-based compensation expense, net of income taxes	$ 23	$ 27	$ 20
Related tax benefit	$ 15	$ 17	$ 13
Options vested (in shares)	3,800,000	3,800,000	4,800,000
Grant date fair value of options vested	$ 38	$ 32	$ 30
Cash received from exercise of stock options	128	84	67
Tax benefit related to stock options exercised	80	30	33
Total intrinsic value of options exercised	204	79	87
Amount realized, related to excess tax deductions	58	19	24
Total unrecognized compensation cost related to stock option plans	$ 29
Total unrecognized compensation cost, time frame for recognition, weighted average number of years	1 year 1 month
Restricted Stock [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation expense, net of income taxes	$ 14	9	6
Related tax benefit	$ 9	$ 6	$ 4
Number of Shares - Vested	(155,600)	(500,000)	(600,000)
Total unrecognized compensation cost, time frame for recognition, weighted average number of years	1 year 9 months
Total unrecognized compensation cost related to share-based awards other than options	$ 33
Restricted stock awards, grant date fair value of shares vested	$ 4	$ 10	$ 11
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	$ 11	5	4
Related tax benefit	$ 7	$ 3	$ 2
Number of Shares - Vested	(803,821)
Total unrecognized compensation cost, time frame for recognition, weighted average number of years	2 years
Total unrecognized compensation cost related to share-based awards other than options	$ 30
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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Unrecognized cost of unvested share-based compensation awards.

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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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Unrecognized cost of unvested share-based awards, other than options, awarded to employees as compensation.

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The total recognized tax benefit related to compensation cost for equity-based payment arrangements recognized in income during the period.

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Disclosure of the aggregate tax benefit realized from the exercise of stock options and the conversion of similar instruments during the annual period.

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Amount of cash inflow from realized tax benefit related to deductible compensation cost reported on the entity's tax return for equity instruments in excess of the compensation cost for those instruments recognized for financial reporting purposes.

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Period which an employee's right to exercise an award is no longer contingent on satisfaction of either a service condition, market condition or a performance condition, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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The number of equity-based payment instruments, excluding stock (or unit) options, that vested during the reporting period.

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Fair value of share-based awards for which the grantee gained the right by satisfying service and performance requirements, to receive or retain shares or units, other instruments, or cash.

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Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

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The difference between the maximum number of shares (or other type of equity) authorized for issuance under the plan (including the effects of amendments and adjustments), and the sum of: 1) the number of shares (or other type of equity) already issued upon exercise of options or other equity-based awards under the plan; and 2) shares (or other type of equity) reserved for issuance on granting of outstanding awards, net of cancellations and forfeitures, if applicable.

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Amount of accumulated difference between fair value of underlying shares on dates of exercise and exercise price on options exercised (or share units converted) into shares.

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The weighted average grant-date fair value of options granted during the reporting period as calculated by applying the disclosed option pricing methodology.

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Percentage of vesting of share-based compensation awards.

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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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Fair value of options vested. Excludes equity instruments other than options, for example, but not limited to, share units, stock appreciation rights, restricted stock.

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