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Debt - Schedule of Debt Instruments (Details) - USD ($)
$ in Millions
Jan. 31, 2018
Oct. 31, 2017
Debt Instrument [Line Items]    
Debt Instrument, Interest Rate, Stated Percentage 6.75%  
Long-term Debt $ 0  
Long-term Debt and Capital Lease Obligations 4,168 $ 3,889
Term Loan [Member]    
Debt Instrument [Line Items]    
Long-term Debt   1,003
Senior Notes [Member]    
Debt Instrument [Line Items]    
Long-term Debt   1,423
Financial Services Operations    
Debt Instrument [Line Items]    
Long-term Debt and Capital Lease Obligations, Including Current Maturities 1,472 1,651
Long-term Debt and Capital Lease Obligations, Current 665 883
Long-term Debt and Capital Lease Obligations 807 768
Financial Services Operations | Secured Debt [Member]    
Debt Instrument [Line Items]    
Debt Issuance Costs, Net 5 5
Long-term Debt 691 849
Financial Services Operations | Line of Credit [Member]    
Debt Instrument [Line Items]    
Debt Issuance Costs, Net 1 2
Long-term Debt 583 616
Financial Services Operations | Commercial Paper [Member]    
Debt Instrument [Line Items]    
Long-term Debt   92
Commercial Paper 93  
Financial Services Operations | Borrowings Secured By Operating and Finance Leases [Member]    
Debt Instrument [Line Items]    
Long-term Debt 105 94
Manufacturing Operations [Member]    
Debt Instrument [Line Items]    
Long-term Debt and Capital Lease Obligations, Including Current Maturities 3,649 3,407
Long-term Debt and Capital Lease Obligations, Current 288 286
Long-term Debt and Capital Lease Obligations 3,361 3,121
Manufacturing Operations [Member] | Line of Credit [Member]    
Debt Instrument [Line Items]    
Debt Issuance Costs, Net 0 9
Debt Instrument, Unamortized Discount 0 7
Long-term Debt 1,580 0
Manufacturing Operations [Member] | Notes Payable to Banks [Member] | Eight Point Two Five Percent Senior Notes [Member]    
Debt Instrument [Line Items]    
Debt Issuance Costs, Net 0 14
Debt Instrument, Unamortized Discount $ 0 13
Debt Instrument, Interest Rate, Stated Percentage 8.25%  
Long-term Debt $ 1,082 0
Manufacturing Operations [Member] | Convertible Subordinated Debt [Member] | Four Point Five Zero Senior Subordinated Convertible Notes [Member]    
Debt Instrument [Line Items]    
Debt Issuance Costs, Net 0 1
Debt Instrument, Unamortized Discount $ 4 5
Debt Instrument, Interest Rate, Stated Percentage 4.50%  
Long-term Debt $ 196 194
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 3 3
Debt Instrument, Unamortized Discount $ 12 14
Debt Instrument, Interest Rate, Stated Percentage 4.75%  
Long-term Debt $ 396 394
Manufacturing Operations [Member] | Tax Exempt Bond [Member]    
Debt Instrument [Line Items]    
Debt Issuance Costs, Net $ 5 $ 5
Debt Instrument, Interest Rate, Stated Percentage 6.75% 6.50%
Long-term Debt $ 220 $ 220
Manufacturing Operations [Member] | Financed lease obligations [Member]    
Debt Instrument [Line Items]    
Long-term Debt 135 130
Manufacturing Operations [Member] | Notes Payable, Other Payables [Member]    
Debt Instrument [Line Items]    
Long-term Debt 40 $ 43
Revolving Credit Facility [Member]    
Debt Instrument [Line Items]    
Long-term Debt $ 0