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Debt - Schedule of Debt Instruments (Details) - USD ($)
$ in Millions
Jul. 31, 2019
Nov. 01, 2018
Oct. 31, 2018
Debt Instrument [Line Items]      
Long-term Debt and Capital Lease Obligations $ 4,528 $ 4,463 $ 4,521
Term Loan [Member]      
Debt Instrument [Line Items]      
Gross maximum borrowing capacity 0   394
Financial Services Operations      
Debt Instrument [Line Items]      
Long-term Debt and Capital Lease Obligations, Including Current Maturities 2,275   2,041
Long-term Debt and Capital Lease Obligations, Current 646   485
Long-term Debt and Capital Lease Obligations 1,629   1,556
Financial Services Operations | Secured Debt [Member]      
Debt Instrument [Line Items]      
Long-term Debt 1,102   948
Financial Services Operations | Line of Credit [Member]      
Debt Instrument [Line Items]      
Long-term Debt 1,000   519
Financial Services Operations | Commercial Paper [Member]      
Debt Instrument [Line Items]      
Long-term Debt     75
Commercial Paper 71    
Financial Services Operations | Borrowings Secured By Operating and Finance Leases [Member]      
Debt Instrument [Line Items]      
Long-term Debt 102   105
Manufacturing Operations [Member]      
Debt Instrument [Line Items]      
Long-term Debt and Capital Lease Obligations, Including Current Maturities 2,929   3,426
Long-term Debt and Capital Lease Obligations, Current 30   461
Long-term Debt and Capital Lease Obligations 2,899   2,965
Manufacturing Operations [Member] | Line of Credit [Member]      
Debt Instrument [Line Items]      
Long-term Debt $ 1,560   1,570
Manufacturing Operations [Member] | Notes Payable to Banks [Member] | Eight Point Two Five Percent Senior Notes [Member]      
Debt Instrument [Line Items]      
Debt Instrument, Interest Rate, Stated Percentage 8.25%    
Long-term Debt $ 1,085   1,083
Manufacturing Operations [Member] | Convertible Subordinated Debt [Member] | Four Point Five Zero Senior Subordinated Convertible Notes [Member]      
Debt Instrument [Line Items]      
Debt Instrument, Interest Rate, Stated Percentage 4.50%    
Manufacturing Operations [Member] | Convertible Subordinated Debt [Member] | Four Point Seven Five Senior Subordinated Convertible Notes [Member] [Member]      
Debt Instrument [Line Items]      
Debt Instrument, Interest Rate, Stated Percentage 4.75%    
Long-term Debt $ 0   405
Manufacturing Operations [Member] | Tax Exempt Bond [Member]      
Debt Instrument [Line Items]      
Debt Instrument, Interest Rate, Stated Percentage 6.75%    
Long-term Debt $ 220   220
Manufacturing Operations [Member] | Financed lease obligations [Member]      
Debt Instrument [Line Items]      
Long-term Debt 54   122
Manufacturing Operations [Member] | Notes Payable, Other Payables [Member]      
Debt Instrument [Line Items]      
Long-term Debt $ 10   $ 26