| **Debt - Schedule of Debt Instruments (Details) - USD ($) $ in Millions**                                                                                  | Jan. 31, 2017 | Oct. 31, 2016 |
|------------------------------------------------------------------------------------------------------------------------------------------------------------|---------------|---------------|
| **Debt Instrument [Line Items]**                                                                                                                           |          |          |
| Long-term Debt and Capital Lease Obligations                                                                                                               | $ 4,276       | $ 3,997       |
| Financial Services Operations                                                                                                                              |          |          |
| **Debt Instrument [Line Items]**                                                                                                                           |          |          |
| Long-term Debt and Capital Lease Obligations, Including Current Maturities                                                                                 | 1,471         | 1,808         |
| Long-term Debt and Capital Lease Obligations, Current                                                                                                      | 517           | 836           |
| Long-term Debt and Capital Lease Obligations                                                                                                               | 954           | 972           |
| Financial Services Operations | Secured Debt [Member]                                                                                                      |          |          |
| **Debt Instrument [Line Items]**                                                                                                                           |          |          |
| Debt Issuance Costs, Net                                                                                                                                   | 6             | 6             |
| Long-term Debt                                                                                                                                             | 646           | 753           |
| Financial Services Operations | Line of Credit [Member]                                                                                                    |          |          |
| **Debt Instrument [Line Items]**                                                                                                                           |          |          |
| Debt Issuance Costs, Net                                                                                                                                   | 2             | 3             |
| Long-term Debt                                                                                                                                             | 655           | 861           |
| Financial Services Operations | Commercial Paper [Member]                                                                                                  |          |          |
| **Debt Instrument [Line Items]**                                                                                                                           |          |          |
| Long-term Debt                                                                                                                                             | 73            | 96            |
| Financial Services Operations | Borrowings Secured By Operating and Finance Leases [Member]                                                                |          |          |
| **Debt Instrument [Line Items]**                                                                                                                           |          |          |
| Long-term Debt                                                                                                                                             | 97            | 98            |
| Manufacturing Operations [Member]                                                                                                                          |          |          |
| **Debt Instrument [Line Items]**                                                                                                                           |          |          |
| Debt Issuance Costs, Net                                                                                                                                   | 4             |          |
| Long-term Debt and Capital Lease Obligations, Including Current Maturities                                                                                 | 3,394         | 3,096         |
| Long-term Debt and Capital Lease Obligations, Current                                                                                                      | 72            | 71            |
| Long-term Debt and Capital Lease Obligations                                                                                                               | 3,322         | 3,025         |
| Manufacturing Operations [Member] | Line of Credit [Member]                                                                                                |          |          |
| **Debt Instrument [Line Items]**                                                                                                                           |          |          |
| Debt Issuance Costs, Net                                                                                                                                   | 7             | 7             |
| Debt Instrument, Unamortized Discount                                                                                                                      | 13            | 14            |
| Long-term Debt                                                                                                                                             | 1,007         | 1,009         |
| Manufacturing Operations [Member] | Notes Payable to Banks [Member] | Eight Point Two Five Percent Senior Notes [Member]                                   |          |          |
| **Debt Instrument [Line Items]**                                                                                                                           |          |          |
| Debt Issuance Costs, Net                                                                                                                                   | 15            | 12            |
| Debt Instrument, Unamortized Discount                                                                                                                      | $ 15          | 15            |
| Debt Instrument, Interest Rate, Stated Percentage                                                                                                          | 8.25%         |          |
| Long-term Debt                                                                                                                                             | $ 1,420       | 1,173         |
| Manufacturing Operations [Member] | Convertible Subordinated Debt [Member] | Four Point Five Zero Senior Subordinated Convertible Notes [Member]           |          |          |
| **Debt Instrument [Line Items]**                                                                                                                           |          |          |
| Debt Issuance Costs, Net                                                                                                                                   | 1             | 1             |
| Debt Instrument, Unamortized Discount                                                                                                                      | $ 9           | 10            |
| Debt Instrument, Interest Rate, Stated Percentage                                                                                                          | 4.50%         |          |
| Long-term Debt                                                                                                                                             | $ 190         | 189           |
| Manufacturing Operations [Member] | Convertible Subordinated Debt [Member] | Four Point Seven Five Senior Subordinated Convertible Notes [Member] [Member] |          |          |
| **Debt Instrument [Line Items]**                                                                                                                           |          |          |
| Debt Issuance Costs, Net                                                                                                                                   | 4             | 4             |
| Debt Instrument, Unamortized Discount                                                                                                                      | $ 21          | 24            |
| Debt Instrument, Interest Rate, Stated Percentage                                                                                                          | 4.75%         |          |
| Long-term Debt                                                                                                                                             | $ 386         | 383           |
| Manufacturing Operations [Member] | Financing Arrangements and Capital Lease Obligations [Member]                                                          |          |          |
| **Debt Instrument [Line Items]**                                                                                                                           |          |          |
| Long-term Debt                                                                                                                                             | 40            | 42            |
| Manufacturing Operations [Member] | Tax Exempt Bond [Member]                                                                                               |          |          |
| **Debt Instrument [Line Items]**                                                                                                                           |          |          |
| Debt Issuance Costs, Net                                                                                                                                   | $ 5           | 5             |
| Debt Instrument, Interest Rate, Stated Percentage                                                                                                          | 6.50%         |          |
| Long-term Debt                                                                                                                                             | $ 220         | 220           |
| Manufacturing Operations [Member] | Financed lease obligations [Member]                                                                                    |          |          |
| **Debt Instrument [Line Items]**                                                                                                                           |          |          |
| Long-term Debt                                                                                                                                             | 107           | 52            |
| Manufacturing Operations [Member] | Notes Payable, Other Payables [Member]                                                                                 |          |          |
| **Debt Instrument [Line Items]**                                                                                                                           |          |          |
| Long-term Debt                                                                                                                                             | $ 24          | $ 28          |

| X                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 |
|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
| - Definition
Contractual interest rate for funds borrowed, under the debt agreement.
+ References
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No definition available.
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|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
| - Definition
Amount, after accumulated amortization, of debt discount.
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| - Definition
Amount, after accumulated amortization, of debt issuance costs. Includes, but is not limited to, legal, accounting, underwriting, printing, and registration costs.
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|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
| - Definition
Amount, after unamortized (discount) premium and debt issuance costs, of long-term debt. Includes, but not limited to, notes payable, bonds payable, debentures, mortgage loans and commercial paper. Excludes capital lease obligations.
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| - Definition
Amount of long-term debt and capital lease obligation due after one year or beyond the normal operating cycle, if longer.
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Amount of long-term debt and capital leases due within one year or the normal operating cycle, if longer.
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