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Fair Value Measurements - Carrying Values and Estimated Fair Values of Financial Instruments (Details) - USD ($)
$ in Millions
3 Months Ended
Jan. 31, 2017
Jan. 31, 2016
Oct. 31, 2016
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Goodwill $ 38   $ 38
Asset impairment charges 2 $ 2  
Reported Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Retail Notes 140   151
Notes Receivable 0   1
Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Retail Notes 137   153
Notes Receivable 0   1
Fair Value, Inputs, Level 1 [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Retail Notes 0   0
Notes Receivable 0   0
Fair Value, Inputs, Level 2 [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Retail Notes 0   0
Notes Receivable 0   0
Fair Value, Inputs, Level 3 [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Retail Notes 137   153
Notes Receivable 0   1
Line of Credit [Member] | Manufacturing Operations [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt 1,007   1,009
Line of Credit [Member] | Manufacturing Operations [Member] | Reported Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt 1,007   1,009
Line of Credit [Member] | Manufacturing Operations [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value 1,040   1,037
Line of Credit [Member] | Manufacturing Operations [Member] | Fair Value, Inputs, Level 1 [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value 0   0
Line of Credit [Member] | Manufacturing Operations [Member] | Fair Value, Inputs, Level 2 [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value 0   0
Line of Credit [Member] | Manufacturing Operations [Member] | Fair Value, Inputs, Level 3 [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value 1,040   1,037
Line of Credit [Member] | Financial Services Operations      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt 655   861
Line of Credit [Member] | Financial Services Operations | Reported Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt 655   861
Line of Credit [Member] | Financial Services Operations | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value 643   851
Line of Credit [Member] | Financial Services Operations | Fair Value, Inputs, Level 1 [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value 0   0
Line of Credit [Member] | Financial Services Operations | Fair Value, Inputs, Level 2 [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value 0   0
Line of Credit [Member] | Financial Services Operations | Fair Value, Inputs, Level 3 [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value 643   851
Financing Arrangements [Member] | Manufacturing Operations [Member] | Reported Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt 35   37
Financing Arrangements [Member] | Manufacturing Operations [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value 16   17
Financing Arrangements [Member] | Manufacturing Operations [Member] | Fair Value, Inputs, Level 1 [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value 0   0
Financing Arrangements [Member] | Manufacturing Operations [Member] | Fair Value, Inputs, Level 2 [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value 0   0
Financing Arrangements [Member] | Manufacturing Operations [Member] | Fair Value, Inputs, Level 3 [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value 16   17
Tax Exempt Bond [Member] | Manufacturing Operations [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt 220   220
Tax Exempt Bond [Member] | Manufacturing Operations [Member] | Reported Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt 220   220
Tax Exempt Bond [Member] | Manufacturing Operations [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value 229   233
Tax Exempt Bond [Member] | Manufacturing Operations [Member] | Fair Value, Inputs, Level 1 [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value 0   0
Tax Exempt Bond [Member] | Manufacturing Operations [Member] | Fair Value, Inputs, Level 2 [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value 229   233
Tax Exempt Bond [Member] | Manufacturing Operations [Member] | Fair Value, Inputs, Level 3 [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value 0   0
Financed lease obligations [Member] | Manufacturing Operations [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt 107   52
Financed lease obligations [Member] | Manufacturing Operations [Member] | Reported Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt 107   52
Financed lease obligations [Member] | Manufacturing Operations [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value 107   52
Financed lease obligations [Member] | Manufacturing Operations [Member] | Fair Value, Inputs, Level 1 [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value 0   0
Financed lease obligations [Member] | Manufacturing Operations [Member] | Fair Value, Inputs, Level 2 [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value 0   0
Financed lease obligations [Member] | Manufacturing Operations [Member] | Fair Value, Inputs, Level 3 [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value 107   52
Notes Payable, Other Payables [Member] | Manufacturing Operations [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt 24   28
Notes Payable, Other Payables [Member] | Manufacturing Operations [Member] | Reported Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt 24   28
Notes Payable, Other Payables [Member] | Manufacturing Operations [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value 24   26
Notes Payable, Other Payables [Member] | Manufacturing Operations [Member] | Fair Value, Inputs, Level 1 [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value 0   0
Notes Payable, Other Payables [Member] | Manufacturing Operations [Member] | Fair Value, Inputs, Level 2 [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value 0   0
Notes Payable, Other Payables [Member] | Manufacturing Operations [Member] | Fair Value, Inputs, Level 3 [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value 24   26
Secured Debt [Member] | Financial Services Operations      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt 646   753
Secured Debt [Member] | Financial Services Operations | Reported Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt 646   753
Secured Debt [Member] | Financial Services Operations | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value 645   754
Secured Debt [Member] | Financial Services Operations | Fair Value, Inputs, Level 1 [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value 0   0
Secured Debt [Member] | Financial Services Operations | Fair Value, Inputs, Level 2 [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value 0   0
Secured Debt [Member] | Financial Services Operations | Fair Value, Inputs, Level 3 [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value 645   754
Commercial Paper [Member] | Financial Services Operations      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt 73   96
Commercial Paper [Member] | Financial Services Operations | Reported Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt 73   96
Commercial Paper [Member] | Financial Services Operations | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value 73   96
Commercial Paper [Member] | Financial Services Operations | Fair Value, Inputs, Level 1 [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value 73    
Commercial Paper [Member] | Financial Services Operations | Fair Value, Inputs, Level 1 [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value     96
Commercial Paper [Member] | Financial Services Operations | Fair Value, Inputs, Level 2 [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value 0    
Commercial Paper [Member] | Financial Services Operations | Fair Value, Inputs, Level 2 [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value     0
Commercial Paper [Member] | Financial Services Operations | Fair Value, Inputs, Level 3 [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value 0    
Commercial Paper [Member] | Financial Services Operations | Fair Value, Inputs, Level 3 [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value     0
Borrowings Secured By Operating and Finance Leases [Member] | Financial Services Operations      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt 97   98
Borrowings Secured By Operating and Finance Leases [Member] | Financial Services Operations | Reported Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt 97   98
Borrowings Secured By Operating and Finance Leases [Member] | Financial Services Operations | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value 98   98
Borrowings Secured By Operating and Finance Leases [Member] | Financial Services Operations | Fair Value, Inputs, Level 1 [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value 0   0
Borrowings Secured By Operating and Finance Leases [Member] | Financial Services Operations | Fair Value, Inputs, Level 2 [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value 0   0
Borrowings Secured By Operating and Finance Leases [Member] | Financial Services Operations | Fair Value, Inputs, Level 3 [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value 98   98
Eight Point Two Five Percent Senior Notes [Member] | Notes Payable to Banks [Member] | Manufacturing Operations [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt 1,420   1,173
Eight Point Two Five Percent Senior Notes [Member] | Notes Payable to Banks [Member] | Manufacturing Operations [Member] | Reported Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt 1,420   1,173
Eight Point Two Five Percent Senior Notes [Member] | Notes Payable to Banks [Member] | Manufacturing Operations [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value 1,465   1,180
Eight Point Two Five Percent Senior Notes [Member] | Notes Payable to Banks [Member] | Manufacturing Operations [Member] | Fair Value, Inputs, Level 1 [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value 1,465   1,180
Eight Point Two Five Percent Senior Notes [Member] | Notes Payable to Banks [Member] | Manufacturing Operations [Member] | Fair Value, Inputs, Level 2 [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value 0   0
Eight Point Two Five Percent Senior Notes [Member] | Notes Payable to Banks [Member] | Manufacturing Operations [Member] | Fair Value, Inputs, Level 3 [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value 0   0
Four Point Five Zero Senior Subordinated Convertible Notes [Member] | Convertible Subordinated Debt [Member] | Manufacturing Operations [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt 190   189
Four Point Five Zero Senior Subordinated Convertible Notes [Member] | Convertible Subordinated Debt [Member] | Manufacturing Operations [Member] | Reported Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt [1] 190   189
Four Point Five Zero Senior Subordinated Convertible Notes [Member] | Convertible Subordinated Debt [Member] | Manufacturing Operations [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value [1] 198   189
Four Point Five Zero Senior Subordinated Convertible Notes [Member] | Convertible Subordinated Debt [Member] | Manufacturing Operations [Member] | Fair Value, Inputs, Level 1 [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value [1] 0   0
Four Point Five Zero Senior Subordinated Convertible Notes [Member] | Convertible Subordinated Debt [Member] | Manufacturing Operations [Member] | Fair Value, Inputs, Level 2 [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value [1] 0   0
Four Point Five Zero Senior Subordinated Convertible Notes [Member] | Convertible Subordinated Debt [Member] | Manufacturing Operations [Member] | Fair Value, Inputs, Level 3 [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value [1] 198   189
Four Point Seven Five Senior Subordinated Convertible Notes [Member] [Member] | Convertible Subordinated Debt [Member] | Manufacturing Operations [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt 386   383
Four Point Seven Five Senior Subordinated Convertible Notes [Member] [Member] | Convertible Subordinated Debt [Member] | Manufacturing Operations [Member] | Reported Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt [1] 386   383
Four Point Seven Five Senior Subordinated Convertible Notes [Member] [Member] | Convertible Subordinated Debt [Member] | Manufacturing Operations [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value [1] 405   382
Four Point Seven Five Senior Subordinated Convertible Notes [Member] [Member] | Convertible Subordinated Debt [Member] | Manufacturing Operations [Member] | Fair Value, Inputs, Level 1 [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value [1] 0   0
Four Point Seven Five Senior Subordinated Convertible Notes [Member] [Member] | Convertible Subordinated Debt [Member] | Manufacturing Operations [Member] | Fair Value, Inputs, Level 2 [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value 0 [1]   0
Four Point Seven Five Senior Subordinated Convertible Notes [Member] [Member] | Convertible Subordinated Debt [Member] | Manufacturing Operations [Member] | Fair Value, Inputs, Level 3 [Member] | Estimate of Fair Value Measurement [Member]      
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]      
Long-term Debt, Fair Value [1] $ 405   $ 382
[1] The carrying value represents the consolidated financial statement amount of the debt which excludes the allocation of the conversion feature to equity, while the fair value is based on internally developed valuation techniques such as discounted cash flow modeling for Level 3 convertible notes which include the equity feature.