Income Taxes - Narrative (Details) - USD ($)		12 Months Ended
	Jan. 01, 2018	Oct. 31, 2018	Oct. 31, 2017	Oct. 31, 2016
Operating Loss Carryforwards [Line Items]
Effective Income Tax Rate Reconciliation, Change in Enacted Tax Rate, Amount		$ 0.23	$ 0.35
Deferred Tax Assets, Tax Deferred Expense, Compensation and Benefits, Employee Benefits		615,000,000	1,073,000,000
Effective Income Tax Rate Reconciliation at Federal Statutory Income Tax Rate, Amount		(98,000,000)	(22,000,000)	$ 11,000,000
Current Federal Tax Expense (Benefit)		0	4,000,000	(1,000,000)
Income (Loss) from Continuing Operations before Income Taxes, Domestic			28,000,000
Effective Income Tax Rate Reconciliation, Change in Deferred Tax Assets Valuation Allowance, Amount		$ 1,120,000,000	(57,000,000)	(132,000,000)
Income Taxes Percent Likelihood Of Being Realized Upon Settlement		50.00%
Income tax expense		$ (52,000,000)	(10,000,000)	(33,000,000)
Unrecognized Tax Benefits, Income Tax Penalties and Interest Expense		1,000,000	(6,000,000)	(1,000,000)
Unrecognized Tax Benefits		27,000,000	34,000,000	50,000,000
Unrecognized Tax Benefits, Increase Resulting from Prior Period Tax Positions		2,000,000	0
Unrecognized Tax Benefits, Income Tax Penalties and Interest Expense		3,000,000	4,000,000
Income (Loss) from Continuing Operations before Income Taxes, Noncontrolling Interest		420,000,000	64,000,000	(32,000,000)
Current State and Local Tax Expense (Benefit)		(1,000,000)	10,000,000	(4,000,000)
Current Foreign Tax Expense (Benefit)		(47,000,000)	(30,000,000)	(36,000,000)
Current Income Tax Expense (Benefit)		(48,000,000)	(16,000,000)	(41,000,000)
Deferred Federal Income Tax Expense (Benefit)		2,000,000	19,000,000	13,000,000
Deferred State and Local Income Tax Expense (Benefit)		(1,000,000)	4,000,000	(1,000,000)
Deferred Foreign Income Tax Expense (Benefit)		(5,000,000)	(17,000,000)	(4,000,000)
Deferred Income Tax Expense (Benefit)		(4,000,000)	6,000,000	8,000,000
Effective Income Tax Rate Reconciliation, State and Local Income Taxes, Amount		(3,000,000)	(3,000,000)	(3,000,000)
Effective Income Tax Rate Reconciliation, Tax Credit, Amount		(50,000,000)	(8,000,000)	(3,000,000)
Effective Income Tax Rate Reconciliation, Foreign Income Tax Rate Differential, Amount		(2,000,000)	4,000,000	53,000,000
Effective Income Tax Rate Reconciliation, Repatriation of Foreign Earnings, Amount	$ 147,000,000	0	0	37,000,000
Effective Income Tax Rate Reconciliation, Tax Contingency, Amount		(1,000,000)	15,000,000	(10,000,000)
Effective Income Tax Rate Reconciliation, Tax Expense related to Equity Components		0		0
Effective Income Tax Rate Reconciliation, Noncontrolling Interest Income (Loss), Amount		6,000,000	9,000,000	11,000,000
Foreign Earnings Repatriated		(34,000,000)	0	0
Tax Act US deferred remeasurement		(983,000,000)	0	0
Effective Income Tax Rate Reconciliation, Other Adjustments, Amount		(7,000,000)	8,000,000	(3,000,000)
Deferred Tax Assets, Operating Loss Carryforwards		979,000,000	1,383,000,000
Deferred Tax Assets, Tax Deferred Expense, Reserves and Accruals, Warranty Reserves		172,000,000	290,000,000
Deferred Tax Assets, in Process Research and Development		114,000,000	209,000,000
Deferred Tax Assets, Tax Credit Carryforwards		212,000,000	262,000,000
Deferred Tax Assets, Other		238,000,000	277,000,000
Deferred Tax Assets, Gross		2,330,000,000	3,494,000,000
Deferred Tax Assets, Valuation Allowance		2,182,000,000	3,326,000,000
Deferred Tax Assets, Net of Valuation Allowance		148,000,000	168,000,000
Deferred Tax Liabilities, Other		(27,000,000)	(39,000,000)
Deferred Tax Liabilities, Net		(27,000,000)	(39,000,000)
Valuation Allowance, Deferred Tax Asset, Increase (Decrease), Amount		137,000,000	57,000,000
Unrecognized Tax Benefits, Decrease Resulting from Prior Period Tax Positions		(7,000,000)	(15,000,000)
Unrecognized Tax Benefits, Decrease Resulting from Settlements with Taxing Authorities		(2,000,000)	$ (1,000,000)
Undistributed Earnings of Foreign Subsidiaries		308,000,000
Interest and Penalties from Uncertain Tax Positions, Income Tax Expense			14
Income (Loss) from Continuing Operations before Equity Method Investments, Income Taxes, Noncontrolling Interest		420,000,000	$ 64,000,000	(32,000,000)
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		$ 560,000,000
Stock Option Tax Benefits [Member]
Operating Loss Carryforwards [Line Items]
Deferred Tax Assets, Operating Loss Carryforwards		178,000,000
Foreign Tax Authority [Member]
Operating Loss Carryforwards [Line Items]
Deferred Tax Assets, Operating Loss Carryforwards		241,000,000
Domestic Tax Authority [Member]
Operating Loss Carryforwards [Line Items]
Income (Loss) from Continuing Operations before Income Taxes, Domestic		246,000,000	(74,000,000)	(95,000,000)
Foreign Tax Authority [Member]
Operating Loss Carryforwards [Line Items]
Income (Loss) from Continuing Operations before Income Taxes, Foreign		174,000,000	$ 138,000,000	$ 63,000,000
Accounting Standards Update 2018-05 [Member]
Operating Loss Carryforwards [Line Items]
Deferred Tax Assets, Valuation Allowance		$ 1,000,000,000