| **Income Taxes (Tables)**                                                             | 12 Months Ended                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               |
|---------------------------------------------------------------------------------------|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
||
| **Income Tax Disclosure [Abstract]**                                                  |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          |
| Domestic and foreign components of Income before income tax and extraordinary gain    | The domestic and foreign components of Income before income tax benefit (expense) and extraordinary gain consist of the following for the years ended October 31:   2011 2010 2009(in millions)      Domestic $247 $166 $441Foreign 73 124 (82)Income before income tax benefit (expense) and extraordinary gain $320 $290 $359                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                |
| Components of Income tax expense                                                      | The components of Income tax benefit (expense) consist of the following for the years ended October 31:   2011 2010 2009(in millions)      Current:      Federal $(3) $30 $(3)State and local 1 (4) (6)Foreign (47) (33) (14)Total current expense (49) (7) (23)Deferred:      Federal 1,423 — —State and local 106 — —Foreign (22) (16) (14)Total deferred benefit (expense) 1,507 (16) (14)Total income tax benefit (expense) $1,458 $(23) $(37)                                                                                                                                                                                               |
| Reconciliation of statutory federal income tax expense to recorded income tax expense | A reconciliation of statutory federal income tax expense to recorded income tax benefit (expense) is as follows for the years ended October 31:   2011 2010 2009(in millions)      Statutory federal income tax expense $(112) $(101) $(126)State income taxes, net of federal benefit (6) (3) (4)Alternative minimum taxes — 29 (10)Credits and incentives 27 2 8Adjustments to valuation allowances 1,499 56 105Medicare subsidies — 6 11Foreign operations (19) (11) (13)Adjustments to uncertain tax positions 42 5 (1)Subpart F income (1) (17) (1)Non-controlling interest adjustment 19 16 9Other 9 (5) (15)Recorded income tax benefit (expense) $1,458 $(23) $(37) |
| Components of the deferred tax asset (liability)                                      | The components of the deferred tax asset (liability) at October 31 are as follows:   2011 2010(in millions)    Deferred tax assets attributable to:    Employee benefits liabilities $1,369 $840Net operating loss (“NOL”) carry forwards 273 306Product liability and warranty accruals 262 232Research and development 74 98Tax credit carry forwards 208 115Other 294 335Gross deferred tax assets 2,480 1,926Less: Valuation allowances (344) (1,777)Net deferred tax assets $2,136 $149Deferred tax liabilities attributable to:    Goodwill and intangibles assets $(107) $(104)Other (39) (59)Total deferred tax liabilities $(146) $(163)                                                              |
| Summary of changes in the liability for uncertain tax positions                       | Changes in the liability for uncertain tax positions during the year ended October 31, 2011 are summarized as follows: (in millions)  Liability for uncertain tax positions at October 31, 2010 $91Increase as a result of positions taken in prior periods 79Decrease as a result of positions taken in prior periods (150)Increase as a result of positions taken in the current period 1Settlements (2)Liability for uncertain tax positions at October 31, 2011 $19                                                                                                                                                                                                                                                                                                                                                                                                |

| X                                                                                                                                                               |
|-----------------------------------------------------------------------------------------------------------------------------------------------------------------|
| - Details**Name:**us-gaap_IncomeTaxDisclosureAbstract**Namespace Prefix:**us-gaap_**Data Type:**xbrli:stringItemType**Balance Type:**na**Period Type:**duration |
| X                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           |
|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
| - Definition
Tabular disclosure of the components of income tax expense attributable to continuing operations for each year presented including, but not limited to: current tax expense (benefit), deferred tax expense (benefit), investment tax credits, government grants, the benefits of operating loss carryforwards, tax expense that results from allocating certain tax benefits either directly to contributed capital or to reduce goodwill or other noncurrent intangible assets of an acquired entity, adjustments of a deferred tax liability or asset for enacted changes in tax laws or rates or a change in the tax status of the entity, and adjustments of the beginning-of-the-year balances of a valuation allowance because of a change in circumstances that causes a change in judgment about the realizability of the related deferred tax asset in future years.
+ References
Reference 1: http://www.xbrl.org/2003/role/presentationRef -Topic 740 -SubTopic 10 -Publisher FASB -Number  -Article  -Subparagraph  -Name Accounting Standards Codification -Paragraph 9 -Section 50 -URI http://asc.fasb.org/extlink&oid=6907707&loc=d3e32639-109319
+ Details**Name:**us-gaap_ScheduleOfComponentsOfIncomeTaxExpenseBenefitTableTextBlock**Namespace Prefix:**us-gaap_**Data Type:**nonnum:textBlockItemType**Balance Type:**na**Period Type:**duration |
| X                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           |
|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
| - Definition
Tabular disclosure of the components of net deferred tax asset or liability recognized in an entity's statement of financial position, including the following: the total of all deferred tax liabilities, the total of all deferred tax assets, the total valuation allowance recognized for deferred tax assets.
+ References
Reference 1: http://www.xbrl.org/2003/role/presentationRef -Topic 740 -SubTopic 10 -Publisher FASB -Number  -Article  -Subparagraph  -Name Accounting Standards Codification -Paragraph 2 -Section 50 -URI http://asc.fasb.org/extlink&oid=6907707&loc=d3e32537-109319
+ Details**Name:**us-gaap_ScheduleOfDeferredTaxAssetsAndLiabilitiesTableTextBlock**Namespace Prefix:**us-gaap_**Data Type:**nonnum:textBlockItemType**Balance Type:**na**Period Type:**duration |
| X                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                |
|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
| - Definition
Tabular disclosure of the reconciliation using percentage or dollar amounts of the reported amount of income tax expense attributable to continuing operations for the year to the amount of income tax expense that would result from applying domestic federal statutory tax rates to pretax income from continuing operations.
+ References
Reference 1: http://www.xbrl.org/2003/role/presentationRef -Topic 740 -SubTopic 10 -Publisher FASB -Number  -Article  -Subparagraph  -Name Accounting Standards Codification -Paragraph 12 -Section 50 -URI http://asc.fasb.org/extlink&oid=6907707&loc=d3e32687-109319
+ Details**Name:**us-gaap_ScheduleOfEffectiveIncomeTaxRateReconciliationTableTextBlock**Namespace Prefix:**us-gaap_**Data Type:**nonnum:textBlockItemType**Balance Type:**na**Period Type:**duration |
| X                                                                                                                                                                                                                                                                                                                                                     |
|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
| - Definition
Tabular disclosure of income before income tax between domestic and foreign jurisdictions.
+ References
No definition available.
+ Details**Name:**us-gaap_ScheduleOfIncomeBeforeIncomeTaxDomesticAndForeignTableTextBlock**Namespace Prefix:**us-gaap_**Data Type:**nonnum:textBlockItemType**Balance Type:**na**Period Type:**duration |
| X                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           |
|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
| - Definition
Tabular disclosure of unrecognized tax benefits for which a material change is reasonably possible in the next twelve months, typically including the nature of the uncertainty, the event(s) that could cause a material change, and an estimate of the range of the reasonably possible change or a statement that an estimate of the range cannot be made. An unrecognized tax benefit is the difference between a tax position taken in a tax return and the amounts recognized in the financial statements for which it is more likely than not, based on the technical merits of the position, that the tax position will not be sustained upon examination.
+ References
Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name FASB Interpretation (FIN) -Number 48 -Paragraph 21 -Subparagraph d -LegacyDoc This reference is SUPERSEDED by the Accounting Standards Codification effective for interim and annual periods ending after September 15, 2009.  This reference is included to help users transition from the previous accounting hierarchy and will be removed from future versions of this taxonomy.Reference 2: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 15 -Subparagraph (d) -URI http://asc.fasb.org/extlink&oid=6907707&loc=d3e32718-109319
+ Details**Name:**us-gaap_SummaryOfPositionsForWhichSignificantChangeInUnrecognizedTaxBenefitsIsReasonablyPossibleTextBlock**Namespace Prefix:**us-gaap_**Data Type:**nonnum:textBlockItemType**Balance Type:**na**Period Type:**duration |