Goodwill, Purchased Technology and Other Intangible Assets (Narrative) (Details) $ in Millions	12 Months Ended
Oct. 25, 2015 USD ($) reportable_unit	Oct. 27, 2013 USD ($)
Schedule of Goodwill and Intangible Assets [Line Items]
Number of reporting units \| reportable_unit	3
Weight of discounted cash flow method	75.00%
Weight of guideline company method	25.00%
Change in gross carrying amount of the amortized intangible assets	$ (104)
Energy and Environmental Solutions
Schedule of Goodwill and Intangible Assets [Line Items]
Impairment of goodwill		$ 224
Accumulated goodwill impairment	$ 645
Impairment of intangible assets (excluding goodwill)		$ 54
Minimum
Schedule of Goodwill and Intangible Assets [Line Items]
Useful Life	1 year
Maximum
Schedule of Goodwill and Intangible Assets [Line Items]
Useful Life	15 years

Goodwill Impairment Test, Weight of Discounted Cash Flow Method

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Goodwill Impairment Test, Weight of Guideline Company Method

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Increase (Decrease) in Intangible Assets, Net (Including Goodwill)

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[Line Items] for Schedule of Goodwill and Intangible Assets [Line Items]

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Useful life of finite-lived intangible assets, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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Amount of accumulated impairment loss for an asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized.

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Amount of loss from the write-down of an asset representing the future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized.

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The amount of impairment loss recognized in the period resulting from the write-down of the carrying amount of an intangible asset (excluding goodwill) to fair value.

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Number of reporting units tested for impairment of goodwill. A reporting unit is an operating segment or one level below an operating segment.

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