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Debt - Schedule of Debt Instruments (Details) - USD ($) $ in Millions	Apr. 30, 2020	Apr. 27, 2020	Oct. 31, 2019
Debt Instrument [Line Items]
Long-term Debt and Capital Lease Obligations	$ 4,859		$ 4,317
Senior Notes \| 9.5% Senior Secured Notes, due 2025
Debt Instrument [Line Items]
Interest rate		9.50%
Debt issuance costs	12	$ 12
Financial Services Operations
Debt Instrument [Line Items]
Long-term Debt and Capital Lease Obligations, Including Current Maturities	1,894		2,256
Long-term Debt and Capital Lease Obligations, Current	504		839
Long-term Debt and Capital Lease Obligations	1,390		1,417
Financial Services Operations \| Secured Debt [Member]
Debt Instrument [Line Items]
Long-term Debt	788		991
Debt Issuance Costs, Net	2		4
Financial Services Operations \| Line of Credit [Member]
Debt Instrument [Line Items]
Long-term Debt	991		1,059
Debt Issuance Costs, Net	1		1
Financial Services Operations \| Commercial Paper [Member]
Debt Instrument [Line Items]
Long-term Debt			84
Commercial Paper	0
Financial Services Operations \| Borrowings Secured By Operating and Finance Leases [Member]
Debt Instrument [Line Items]
Long-term Debt	115		122
Manufacturing Operations [Member]
Debt Instrument [Line Items]
Long-term Debt and Capital Lease Obligations, Including Current Maturities	3,535		2,932
Long-term Debt and Capital Lease Obligations, Current	66		32
Long-term Debt and Capital Lease Obligations	3,469		2,900
Manufacturing Operations [Member] \| Line of Credit [Member]
Debt Instrument [Line Items]
Debt Instrument, Unamortized Discount	5		6
Long-term Debt	1,550		1,556
Debt Issuance Costs, Net	9		10
Manufacturing Operations [Member] \| Notes Payable to Banks [Member] \| 6.625% Senior Notes, due 2026
Debt Instrument [Line Items]
Long-term Debt	1,086		1,085
Debt Issuance Costs, Net	14		15
Manufacturing Operations [Member] \| Senior Notes
Debt Instrument [Line Items]
Long-term Debt	$ 588
Manufacturing Operations [Member] \| Convertible Subordinated Debt [Member] \| Four Point Five Zero Senior Subordinated Convertible Notes [Member]
Debt Instrument [Line Items]
Interest rate	4.50%
Manufacturing Operations [Member] \| Convertible Subordinated Debt [Member] \| Four Point Seven Five Senior Subordinated Convertible Notes [Member] [Member]
Debt Instrument [Line Items]
Interest rate	4.75%
Manufacturing Operations [Member] \| Tax Exempt Bond [Member]
Debt Instrument [Line Items]
Interest rate	6.75%
Long-term Debt	$ 220		220
Debt Issuance Costs, Net	5		5
Manufacturing Operations [Member] \| Financed lease obligations [Member]
Debt Instrument [Line Items]
Long-term Debt	51		60
Manufacturing Operations [Member] \| Notes Payable, Other Payables [Member]
Debt Instrument [Line Items]
Long-term Debt	$ 40		$ 11