| **Financial Instruments and Commodity Contracts**                       | 12 Months Ended                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              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| **Derivative Instruments and Hedging Activities Disclosure [Abstract]** |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              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| Financial Instruments and Commodity Contracts                           | Financial Instruments and Commodity ContractsDerivative Financial InstrumentsWe use derivative financial instruments as part of our overall interest rate, foreign currency, and commodity risk management strategies to reduce our interest rate exposure, reduce exchange rate risk for transactional exposures denominated in currencies other than the functional currency, and minimize the effect of commodity price volatility. From time to time, we use foreign currency forward and option contracts to manage the risk of exchange rate movements that would affect the value of our foreign currency cash flows. Foreign currency exchange rate movements create a degree of risk by affecting the value of sales made and costs incurred in currencies other than the functional currency. From time to time, we also use commodity forward contracts to manage our exposure to variability in certain commodity prices. In 2009 in connection with the sale of our 2014 Convertible Notes, we purchased call options for $125 million. The call options are intended to minimize share dilution associated with the 2014 Convertible Notes. As the call options and warrants are indexed to our common stock, we recognized them in permanent equity in Additional paid in capital, and will not recognize subsequent changes in fair value as long as the instruments remain classified as equity. We generally do not enter into derivative financial instruments for speculative or trading purposes and did not during the years ended October 31, 2013, 2012, and 2011. None of our derivatives qualified for hedge accounting treatment during the years ended October 31, 2013, 2012, and 2011.Certain of our derivative contracts contain provisions that require us to provide collateral if certain thresholds are exceeded. No collateral was provided at October 31, 2013 and $1 million was provided as collateral at October 31, 2012. Collateral is generally not required to be provided by our counter-parties for derivative contracts. We manage exposure to counter-party credit risk by entering into derivative financial instruments with various major financial institutions that can be expected to fully perform under the terms of such instruments. We do not anticipate nonperformance by any of the counter-parties. Our exposure to credit risk in the event of nonperformance by the counter-parties is limited to those assets that have been recorded, but have not yet been received in cash. At October 31, 2013 and October 31, 2012, our exposure to the credit risk of others was $5 million and zero, respectively. Our Financial Services operations may use interest rate swaps or interest rate caps from time to time to manage exposure to fluctuations in interest rates by limiting the amount of fixed rate finance receivables that are funded with variable rate debt. The Mexican Financial Services operation uses cross currency swaps to limit exposure to fluctuations in the value of the peso, as required under Mexican bank credit facilities.The fair values of all derivatives are recorded as assets or liabilities on a gross basis in our Consolidated Balance Sheets. The following table presents the fair values of our derivatives and their respective balance sheet locations:  As of October 31, 2013 Asset Derivatives Liability Derivatives(in millions)Location inConsolidated Balance Sheets Fair Value Location inConsolidated Balance Sheets Fair ValueForeign currency contractsOther current assets $4 Other current liabilities $—Interest rate capOther noncurrent assets 1 Other noncurrent liabilities —Total fair value $5   $— As of October 31, 2012 Asset Derivatives Liability Derivatives(in millions)Location inConsolidated Balance Sheets Fair Value Location inConsolidated Balance Sheets Fair ValueCommodity contractsOther current assets $— Other current liabilities $3Commodity contractsOther noncurrent assets — Other noncurrent liabilities 2Total fair value $—   $5The following table presents the location and amount of loss (gain) recognized in our Consolidated Statements of Operations related to derivatives: Location in Consolidated                                                                                                                                                             Statements of Operations Amount of Loss (Gain) Recognized(in millions) 2013 2012 2011Cross currency swapsOther expense (income), net $— $(1) $8Foreign currency contractsOther expense (income), net (4) 4 (4)Commodity forward contractsCosts of products sold 2 8 (14)Total loss (gain) $(2) $11 $(10)Foreign Currency ContractsDuring 2013 and 2012, we entered into foreign exchange forward and option contracts as economic hedges of anticipated cash flows denominated in Canadian dollars, Brazilian reais, South African rand and Euros. All contracts were entered into to protect against the risk that the eventual cash flows resulting from certain transactions would be affected by changes in exchange rates between the U.S. dollar and the respective foreign currency. The following table presents the outstanding foreign currency contracts as of October 31, 2013 and 2012:(in millions)Currency Notional Amount MaturityAs of October 31, 2013     Option collar contractsEUR €2 October 2013Forward exchange contractCAD C$90 October 2013Option collar contractCAD C$50 October 2013Option collar contractBRL US$25 October 2013As of October 31, 2012     Option collar contractsEUR €25 October 2012 - April 2013Commodity Forward ContractsDuring 2013 and 2012, we entered into commodity forward contracts as economic hedges of our exposure to variability in commodity prices for diesel fuel and steel. As of October 31, 2013, we had outstanding diesel fuel contracts with aggregate notional values of $2 million and outstanding steel contracts with aggregate notional values of $11 million. The commodity forward contracts have maturity dates ranging from October 2013 to December 2013. As of October 31, 2012, we had outstanding diesel fuel contracts with aggregate notional values of $3 million and outstanding steel contracts with aggregate notional values of $61 million. All of these contracts were entered into to protect against the risk that the eventual cash flows related to purchases of the commodities will be affected by changes in prices.Interest-Rate ContractsFrom time to time, we enter into various interest-rate contracts, interest rate caps, and cross currency swaps. As of October 31, 2013 and October 31, 2012, the notional amount of our outstanding cross currency swaps was $45 million and $39 million, respectively. We are exposed to interest rate and exchange rate risk as a result of our borrowing activities. The objective of these contracts is to mitigate fluctuations in earnings, cash flows, and fair value of borrowings. In May 2013, our Mexican Financial Services operation issued $78 million of variable-rate asset-backed securities with a maturity date of May 2018. To protect against the potential of rising interest rates, the terms required the purchase of an interest rate cap with a notional amount of $78 million. |

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| - Definition
The entire disclosure for derivative instruments and hedging activities including, but not limited to, risk management strategies, non-hedging derivative instruments, assets, liabilities, revenue and expenses, and methodologies and assumptions used in determining the amounts.
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