Income Taxes - Narrative (Details) - USD ($) $ in Millions	12 Months Ended
	Oct. 31, 2017	Oct. 31, 2016	Oct. 31, 2015
Operating Loss Carryforwards [Line Items]
Deferred taxes, net	$ 129	$ 161
Deferred Tax Assets, Tax Deferred Expense, Compensation and Benefits, Employee Benefits	1,073	1,274
Effective Income Tax Rate Reconciliation at Federal Statutory Income Tax Rate, Amount	(22)	11	$ 36
Current Federal Tax Expense (Benefit)	4	(1)	(2)
Income (Loss) from Continuing Operations before Income Taxes, Domestic	(74)	(95)	(215)
Effective Income Tax Rate Reconciliation, Change in Deferred Tax Assets Valuation Allowance, Amount	$ (57)	(132)	(41)
Income Taxes Percent Likelihood Of Being Realized Upon Settlement	50.00%
Income tax expense	$ (10)	(33)	(51)
Unrecognized Tax Benefits, Income Tax Penalties and Interest Expense	6	(1)
Unrecognized Tax Benefits	34	50
Unrecognized Tax Benefits, Income Tax Penalties and Interest Expense	4	8
Income (Loss) from Continuing Operations before Income Taxes, Foreign	138	63	112
Income (Loss) from Continuing Operations before Income Taxes, Noncontrolling Interest	64	(32)	(103)
Current State and Local Tax Expense (Benefit)	10	(4)	(1)
Current Foreign Tax Expense (Benefit)	(30)	(36)	(64)
Current Income Tax Expense (Benefit)	(16)	(41)	(67)
Deferred Federal Income Tax Expense (Benefit)	19	13	2
Deferred State and Local Income Tax Expense (Benefit)	4	(1)	0
Deferred Foreign Income Tax Expense (Benefit)	(17)	(4)	14
Deferred Income Tax Expense (Benefit)	6	8	16
Effective Income Tax Rate Reconciliation, State and Local Income Taxes, Amount	(3)	(3)	0
Effective Income Tax Rate Reconciliation, Tax Credit, Amount	8	3	4
Effective Income Tax Rate Reconciliation, Foreign Income Tax Rate Differential, Amount	4	53	(48)
Effective Income Tax Rate Reconciliation, Repatriation of Foreign Earnings, Amount	0	37	(31)
Effective Income Tax Rate Reconciliation, Tax Contingency, Amount	15	(10)	(1)
Effective Income Tax Rate Reconciliation, Tax Expense related to Equity Components	28	0	0
Effective Income Tax Rate Reconciliation, Noncontrolling Interest Income (Loss), Amount	9	11	11
Effective Income Tax Rate Reconciliation, Other Adjustments, Amount	8	(3)	19
Deferred Tax Assets, Operating Loss Carryforwards	1,383	1,324
Deferred Tax Assets, Tax Deferred Expense, Reserves and Accruals, Warranty Reserves	290	362
Deferred Tax Assets, in Process Research and Development	209	172
Deferred Tax Assets, Tax Credit Carryforwards	262	262
Deferred Tax Assets, Other	277	232
Deferred Tax Assets, Gross	3,494	3,626
Deferred Tax Assets, Valuation Allowance	3,326	3,434
Deferred Tax Assets, Net of Valuation Allowance	168	192
Deferred Tax Liabilities, Other	(39)	(31)
Deferred Tax Liabilities, Net	(39)	(31)
Valuation Allowance, Deferred Tax Asset, Increase (Decrease), Amount	57	132
Unrecognized Tax Benefits, Decrease Resulting from Prior Period Tax Positions	(15)
Unrecognized Tax Benefits, Decrease Resulting from Settlements with Taxing Authorities	(1)
Other Comprehensive Income (Loss) [Member]
Operating Loss Carryforwards [Line Items]
Income tax expense	$ 14
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
Stock Option Tax Benefits [Member]
Operating Loss Carryforwards [Line Items]
Deferred Tax Assets, Operating Loss Carryforwards	$ 63
Consolidation, Eliminations [Member]
Operating Loss Carryforwards [Line Items]
Deferred taxes, net	0	1
Income tax expense	0	2	0
Income (Loss) from Continuing Operations before Income Taxes, Noncontrolling Interest	$ (336)	$ (193)	$ (143)