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Fair Value Measurements - Carrying Values and Estimated Fair Values of Financial Instruments (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Jul. 31, 2018
Jul. 31, 2017
Jul. 31, 2018
Jul. 31, 2017
Oct. 31, 2017
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]          
Debt Instrument, Interest Rate, Stated Percentage 6.75%   6.75%    
Goodwill $ 38   $ 38   $ 38
Long-term Debt 0   0    
Asset impairment charges 8 $ 6 11 $ 13  
Reported Value Measurement [Member]          
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]          
Retail Notes 194   194   161
Estimate of Fair Value Measurement [Member]          
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]          
Retail Notes 190   190   153
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   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   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 190   190   153
Term Loan [Member]          
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]          
Long-term Debt         1,003
Term Loan [Member] | Reported Value Measurement [Member]          
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]          
Long-term Debt, Fair Value 1,573   1,573    
Term Loan [Member] | Estimate of Fair Value Measurement [Member]          
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]          
Long-term Debt, Fair Value 1,596   1,596    
Term Loan [Member] | Fair Value, Inputs, Level 1 [Member]          
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]          
Long-term Debt, Fair Value 0   0    
Term Loan [Member] | Fair Value, Inputs, Level 2 [Member]          
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]          
Long-term Debt, Fair Value 0   0    
Term Loan [Member] | Fair Value, Inputs, Level 3 [Member]          
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]          
Long-term Debt, Fair Value 1,596   1,596    
Term Loan [Member] | Financial Services Operations | Reported Value Measurement [Member]          
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]          
Long-term Debt, Fair Value 394   394    
Term Loan [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 398   398    
Term Loan [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 0   0    
Term Loan [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   0    
Term Loan [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 398   398    
Line of Credit [Member] | Manufacturing Operations [Member]          
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]          
Long-term Debt 1,573   1,573   0
Line of Credit [Member] | Manufacturing Operations [Member] | Reported Value Measurement [Member]          
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]          
Long-term Debt         1,003
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         1,019
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
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
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         1,019
Line of Credit [Member] | Financial Services Operations          
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]          
Long-term Debt 500   500   616
Line of Credit [Member] | Financial Services Operations | Reported Value Measurement [Member]          
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]          
Long-term Debt 500   500   616
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 477   477   592
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   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   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 477   477   592
Senior Notes [Member]          
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]          
Long-term Debt         1,423
Senior Notes [Member] | Reported Value Measurement [Member]          
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]          
Long-term Debt, Fair Value 1,083   1,083    
Senior Notes [Member] | Estimate of Fair Value Measurement [Member]          
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]          
Long-term Debt, Fair Value 1,149   1,149    
Senior Notes [Member] | Fair Value, Inputs, Level 1 [Member]          
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]          
Long-term Debt, Fair Value 0   0    
Senior Notes [Member] | Fair Value, Inputs, Level 2 [Member]          
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]          
Long-term Debt, Fair Value 1,149   1,149    
Senior Notes [Member] | Fair Value, Inputs, Level 3 [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, Balance Sheet Grouping, Financial Statement Captions [Line Items]          
Debt Instrument, Interest Rate, Stated Percentage 6.75%   6.75%    
Long-term Debt $ 220   $ 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   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 238   238   243
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   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 238   238   243
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   0
Financed lease obligations [Member] | Manufacturing Operations [Member]          
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]          
Long-term Debt 121   121   130
Financed lease obligations [Member] | Manufacturing Operations [Member] | Reported Value Measurement [Member]          
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]          
Long-term Debt 121   121   130
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 121   121   130
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   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   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 121   121   130
Notes Payable, Other Payables [Member] | Manufacturing Operations [Member]          
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]          
Long-term Debt 27   27   43
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 25   25   39
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 25   25   23
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   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   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 25   25   23
Secured Debt [Member] | Financial Services Operations          
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]          
Long-term Debt 888   888   849
Secured Debt [Member] | Financial Services Operations | Reported Value Measurement [Member]          
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]          
Long-term Debt 888   888   849
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 889   889   851
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   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   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 889   889   851
Commercial Paper [Member] | Financial Services Operations          
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]          
Long-term Debt         92
Commercial Paper [Member] | Financial Services Operations | Reported Value Measurement [Member]          
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]          
Long-term Debt 88   88   92
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 88   88   92
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 88   88    
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         92
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   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   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 105   105   94
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 105   105   94
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 104   104   94
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   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   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 $ 104   $ 104   94
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]          
Debt Instrument, Interest Rate, Stated Percentage 8.25%   8.25%    
Long-term Debt $ 1,083   $ 1,083   0
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         1,423
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         1,450
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         1,450
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
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
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]          
Debt Instrument, Interest Rate, Stated Percentage 4.50%   4.50%    
Long-term Debt $ 199   $ 199   194
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] 199   199   194
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] 201   201   208
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] 201   201   208
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   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] $ 0   $ 0   0
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]          
Debt Instrument, Interest Rate, Stated Percentage 4.75%   4.75%    
Long-term Debt $ 402   $ 402   394
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] 402   402   394
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] 428   428   446
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] 428   428   446
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 [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] $ 0   $ 0   $ 0
[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 estimated fair value is derived from quoted prices in active markets which include the equity feature.