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Debt - Schedule of Debt Instruments (Details) - USD ($)
12 Months Ended
Oct. 31, 2016
Oct. 31, 2015
Oct. 31, 2014
Aug. 31, 2015
Apr. 30, 2014
Oct. 31, 2013
Oct. 31, 2012
Debt Instrument [Line Items]              
Debt Instrument, Unamortized Discount $ 101,000,000            
Long-term Debt 4,904,000,000            
Long-term Debt and Capital Lease Obligations 3,997,000,000 $ 4,147,000,000          
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      
Convertible Subordinated Debt [Member] | Four Point Five Zero Senior Subordinated Convertible Notes [Member]              
Debt Instrument [Line Items]              
Debt Instrument, Unamortized Discount           $ 1,000,000  
Convertible Subordinated Debt [Member] | Four Point Seven Five Senior Subordinated Convertible Notes [Member] [Member]              
Debt Instrument [Line Items]              
Debt Instrument, Unamortized Discount         $ 1,000,000    
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 9,000,000            
Long-term Debt 1,808,000,000            
Long-term Debt and Capital Lease Obligations, Including Current Maturities 1,808,000,000 2,093,000,000          
Long-term Debt and Capital Lease Obligations, Current 836,000,000 1,005,000,000          
Long-term Debt and Capital Lease Obligations 972,000,000 1,088,000,000          
Financial Services Operations | Secured Debt [Member]              
Debt Instrument [Line Items]              
Long-term Debt 753,000,000 864,000,000          
Financial Services Operations | Line of Credit [Member]              
Debt Instrument [Line Items]              
Long-term Debt 861,000,000 1,062,000,000          
Financial Services Operations | Commercial Paper [Member]              
Debt Instrument [Line Items]              
Long-term Debt 96,000,000 86,000,000          
Financial Services Operations | Borrowings Secured By Operating and Finance Leases [Member]              
Debt Instrument [Line Items]              
Long-term Debt 98,000,000 81,000,000          
Manufacturing Operations [Member]              
Debt Instrument [Line Items]              
Debt Instrument, Unamortized Discount 92,000,000            
Long-term Debt 3,096,000,000            
Long-term Debt and Capital Lease Obligations, Including Current Maturities 3,096,000,000 3,162,000,000          
Long-term Debt and Capital Lease Obligations, Current 71,000,000 103,000,000          
Long-term Debt and Capital Lease Obligations 3,025,000,000 3,059,000,000          
Manufacturing Operations [Member] | Line of Credit [Member]              
Debt Instrument [Line Items]              
Debt Instrument, Unamortized Discount 14,000,000 17,000,000          
Long-term Debt 1,009,000,000 1,014,000,000          
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 18,000,000          
Debt Instrument, Interest Rate, Stated Percentage 8.25%            
Long-term Debt $ 1,173,000,000 1,168,000,000          
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 14,000,000          
Debt Instrument, Interest Rate, Stated Percentage 4.50%         4.50%  
Long-term Debt $ 189,000,000 184,000,000          
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 32,000,000          
Debt Instrument, Interest Rate, Stated Percentage 4.75%       4.75%    
Long-term Debt $ 383,000,000 373,000,000          
Manufacturing Operations [Member] | Financing Arrangements and Capital Lease Obligations [Member]              
Debt Instrument [Line Items]              
Long-term Debt $ 42,000,000 49,000,000          
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 52,000,000 111,000,000          
Manufacturing Operations [Member] | Notes Payable, Other Payables [Member]              
Debt Instrument [Line Items]              
Long-term Debt $ 28,000,000 $ 43,000,000