Income Taxes - Narrative (Details) - USD ($)	12 Months Ended
	Oct. 31, 2019	Oct. 31, 2018	Oct. 31, 2017
Operating Loss Carryforwards [Line Items]
Income (Loss) from Continuing Operations before Income Taxes, Domestic	$ 5,000,000		$ 28,000,000
Effective Income Tax Rate Reconciliation, Change in Enacted Tax Rate, Amount	0.21	$ 0.23
Deferred Tax Assets, Tax Deferred Expense, Compensation and Benefits, Employee Benefits	578,000,000	615,000,000
Effective Income Tax Rate Reconciliation at Federal Statutory Income Tax Rate, Amount	55,000,000	98,000,000	22,000,000
Current Federal Tax Expense (Benefit)	2,000,000	0	(4,000,000)
Effective Income Tax Rate Reconciliation, Change in Deferred Tax Assets Valuation Allowance, Amount	(94,000,000)	(1,120,000,000)	57,000,000
Income tax expense	19,000,000	52,000,000	10,000,000
Unrecognized Tax Benefits, Income Tax Penalties and Interest Expense	1,000,000	(1,000,000)	(6,000,000)
Unrecognized Tax Benefits	21,000,000	27,000,000	34,000,000
Unrecognized Tax Benefits, Increase Resulting from Prior Period Tax Positions	3,000,000	2,000,000
Unrecognized Tax Benefits, Income Tax Penalties and Interest Expense	4,000,000	3,000,000
Income (Loss) from Continuing Operations before Income Taxes, Noncontrolling Interest	262,000,000	420,000,000	64,000,000
Current State and Local Tax Expense (Benefit)	3,000,000	1,000,000	(10,000,000)
Current Foreign Tax Expense (Benefit)	46,000,000	47,000,000	30,000,000
Current Income Tax Expense (Benefit)	51,000,000	48,000,000	16,000,000
Deferred Federal Income Tax Expense (Benefit)	(1,000,000)	(2,000,000)	(19,000,000)
Deferred State and Local Income Tax Expense (Benefit)	(5,000,000)	1,000,000	(4,000,000)
Deferred Foreign Income Tax Expense (Benefit)	(26,000,000)	5,000,000	17,000,000
Deferred Income Tax Expense (Benefit)	(32,000,000)	4,000,000	(6,000,000)
Effective Income Tax Rate Reconciliation, State and Local Income Taxes, Amount	2,000,000	3,000,000	3,000,000
Effective Income Tax Rate Reconciliation, Tax Credit, Amount	16,000,000	50,000,000	(8,000,000)
Effective Income Tax Rate Reconciliation, Foreign Income Tax Rate Differential, Amount	1,000,000	2,000,000	(4,000,000)
Effective Income Tax Rate Reconciliation, Tax Contingency, Amount	2,000,000	1,000,000	(15,000,000)
Effective Income Tax Rate Reconciliation, Tax Expense related to Equity Components	(5,000,000)	0	(28,000,000)
Effective Income Tax Rate Reconciliation, Noncontrolling Interest Income (Loss), Amount	(5,000,000)	(6,000,000)	(9,000,000)
Effective Income Tax Rate Reconciliation, Foreign Inclusion	34,000,000	0	0
Foreign Earnings Repatriated	0	34,000,000	0
Tax Act US deferred remeasurement	0	983,000,000	0
Effective Income Tax Rate Reconciliation, Other Adjustments, Amount	13,000,000	7,000,000	(8,000,000)
Deferred Tax Assets, Operating Loss Carryforwards	782,000,000	979,000,000
Deferred Tax Assets, Tax Deferred Expense, Reserves and Accruals, Warranty Reserves	165,000,000	172,000,000
Deferred Tax Assets, in Process Research and Development	144,000,000	114,000,000
Deferred Tax Assets, Tax Credit Carryforwards	196,000,000	212,000,000
Deferred Tax Assets, Other	279,000,000	238,000,000
Deferred Tax Assets, Gross	2,144,000,000	2,330,000,000
Deferred Tax Assets, Valuation Allowance	2,011,000,000	2,182,000,000
Deferred Tax Assets, Net of Valuation Allowance	133,000,000	148,000,000
Deferred Tax Liabilities, Other	(18,000,000)	(27,000,000)
Deferred Tax Liabilities, Net	(18,000,000)	(27,000,000)
Valuation Allowance, Deferred Tax Asset, Increase (Decrease), Amount	94,000,000	137,000,000	57,000,000
Unrecognized Tax Benefits, Decrease Resulting from Prior Period Tax Positions	(2,000,000)	(7,000,000)
Unrecognized Tax Benefits, Decrease Resulting from Settlements with Taxing Authorities	(7,000,000)	(2,000,000)
Undistributed Earnings of Foreign Subsidiaries	357,000,000
Income (Loss) from Continuing Operations before Equity Method Investments, Income Taxes, Noncontrolling Interest	262,000,000	420,000,000	64,000,000
Other Comprehensive Income (Loss) [Member]
Operating Loss Carryforwards [Line Items]
Income tax expense	$ (9,000,000)
Minimum [Member]
Operating Loss Carryforwards [Line Items]
Operating Loss Carryforwards, Duration of Carryforward	5 years
Maximum [Member]
Operating Loss Carryforwards [Line Items]
Operating Loss Carryforwards, Duration of Carryforward	20 years
US Treasury and Government [Member]
Operating Loss Carryforwards [Line Items]
Deferred Tax Assets, Operating Loss Carryforwards	$ 465,000,000
Stock Option Tax Benefits [Member]
Operating Loss Carryforwards [Line Items]
Deferred Tax Assets, Operating Loss Carryforwards	166,000,000
Foreign Tax Authority [Member]
Operating Loss Carryforwards [Line Items]
Deferred Tax Assets, Operating Loss Carryforwards	151,000,000
Domestic Tax Authority [Member]
Operating Loss Carryforwards [Line Items]
Income (Loss) from Continuing Operations before Income Taxes, Domestic	220,000,000	246,000,000	(74,000,000)
Foreign Tax Authority [Member]
Operating Loss Carryforwards [Line Items]
Income (Loss) from Continuing Operations before Income Taxes, Foreign	$ 42,000,000	$ 174,000,000	$ 138,000,000