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Debt - Schedule of Debt Instruments (Details) - USD ($)
12 Months Ended
Oct. 31, 2017
Oct. 31, 2015
Oct. 31, 2014
Oct. 31, 2016
Aug. 31, 2015
Oct. 31, 2013
Oct. 31, 2012
Debt Instrument [Line Items]              
Debt Instrument, Unamortized Discount $ 78,000,000            
Long-term Debt 5,058,000,000            
Long-term Debt and Capital Lease Obligations 3,889,000,000     $ 3,997,000,000      
Payments to subsidiary to meet convenant requirement 0 $ 0 $ 0        
Line of Credit [Member]              
Debt Instrument [Line Items]              
Debt Instrument, Unamortized Discount         $ 10,000,000    
Asset-Based Credit Facility [Member]              
Debt Instrument [Line Items]              
Long-term Line of Credit   0   0      
Financial Services Operations              
Debt Instrument [Line Items]              
Debt Instrument, Unamortized Discount 7,000,000            
Long-term Debt 1,651,000,000            
Long-term Debt and Capital Lease Obligations, Including Current Maturities 1,651,000,000     1,808,000,000      
Long-term Debt and Capital Lease Obligations, Current 883,000,000     836,000,000      
Long-term Debt and Capital Lease Obligations 768,000,000     972,000,000      
Financial Services Operations | Secured Debt [Member]              
Debt Instrument [Line Items]              
Long-term Debt 849,000,000     753,000,000      
Financial Services Operations | Line of Credit [Member]              
Debt Instrument [Line Items]              
Long-term Debt 616,000,000     861,000,000      
Financial Services Operations | Commercial Paper [Member]              
Debt Instrument [Line Items]              
Long-term Debt 92,000,000     96,000,000      
Financial Services Operations | Borrowings Secured By Operating and Finance Leases [Member]              
Debt Instrument [Line Items]              
Long-term Debt 94,000,000     98,000,000      
Manufacturing Operations [Member]              
Debt Instrument [Line Items]              
Debt Instrument, Unamortized Discount 71,000,000            
Long-term Debt 3,407,000,000            
Long-term Debt and Capital Lease Obligations, Including Current Maturities 3,407,000,000     3,096,000,000      
Long-term Debt and Capital Lease Obligations, Current 286,000,000     71,000,000      
Long-term Debt and Capital Lease Obligations 3,121,000,000     3,025,000,000      
Manufacturing Operations [Member] | Line of Credit [Member]              
Debt Instrument [Line Items]              
Debt Instrument, Unamortized Discount   14,000,000   7,000,000      
Long-term Debt $ 1,003,000,000     1,009,000,000      
Manufacturing Operations [Member] | Notes Payable to Banks [Member] | Eight Point Two Five Percent Senior Notes [Member]              
Debt Instrument [Line Items]              
Debt Instrument, Unamortized Discount   15,000,000   13,000,000      
Debt Instrument, Interest Rate, Stated Percentage 8.25%            
Long-term Debt $ 1,423,000,000     1,173,000,000      
Manufacturing Operations [Member] | Convertible Subordinated Debt [Member] | Four Point Five Zero Senior Subordinated Convertible Notes [Member]              
Debt Instrument [Line Items]              
Debt Instrument, Unamortized Discount   10,000,000   $ 5,000,000      
Debt Instrument, Interest Rate, Stated Percentage       4.50%   4.50%  
Long-term Debt 194,000,000     $ 189,000,000      
Manufacturing Operations [Member] | Convertible Subordinated Debt [Member] | Four Point Seven Five Senior Subordinated Convertible Notes [Member] [Member]              
Debt Instrument [Line Items]              
Debt Instrument, Unamortized Discount   $ 24,000,000   $ 14,000,000      
Debt Instrument, Interest Rate, Stated Percentage       4.75%      
Long-term Debt $ 394,000,000     $ 383,000,000      
Manufacturing Operations [Member] | Tax Exempt Bond [Member]              
Debt Instrument [Line Items]              
Debt Instrument, Interest Rate, Stated Percentage 6.50%           6.50%
Long-term Debt $ 220,000,000     220,000,000      
Manufacturing Operations [Member] | Financed lease obligations [Member]              
Debt Instrument [Line Items]              
Long-term Debt 130,000,000     52,000,000      
Manufacturing Operations [Member] | Notes Payable, Other Payables [Member]              
Debt Instrument [Line Items]              
Long-term Debt $ 43,000,000     $ 70,000,000