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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