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INCOME TAXES (Details) - USD ($)	3 Months Ended	12 Months Ended
	Oct. 31, 2014	Oct. 31, 2015	Oct. 31, 2014	Oct. 31, 2013
Income (Loss) before Income Taxes [Abstract]
U.S. operations		$ (6,000,000)	$ (18,000,000)	$ 14,000,000
Non-U.S. operations		394,000,000	493,000,000	487,000,000
Income before taxes		388,000,000	475,000,000	501,000,000
Provision (benefit) for income taxes [Abstract]
U.S. federal taxes - current		12,000,000	(11,000,000)	10,000,000
U.S. federal taxes - deferred		(7,000,000)	25,000,000	12,000,000
Non-U.S. taxes - current		24,000,000	62,000,000	16,000,000
Non-U.S. taxes - deferred		(158,000,000)	(4,000,000)	3,000,000
State taxes, net of federal benefit - current		1,000,000	9,000,000	4,000,000
State taxes, net of federal benefit - deferred		3,000,000	2,000,000	(1,000,000)
Total provision (benefit) for income taxes		(125,000,000)	83,000,000	44,000,000
Deferred tax assets: [Abstract]
Inventory	$ 20,000,000	12,000,000	20,000,000
Intangibles	35,000,000	131,000,000	35,000,000
Property, plant and equipment	28,000,000	25,000,000	28,000,000
Warranty reserves	18,000,000	20,000,000	18,000,000
Pension benefits	61,000,000	66,000,000	61,000,000
Employee benefits, other than retirement	26,000,000	27,000,000	26,000,000
Net operating loss, capital loss, and credit carryforwards	127,000,000	135,000,000	127,000,000
State taxes	6,000,000	0	6,000,000
Unremitted earnings of foreign subsidiaries	0	0	0
Share-based compensation	15,000,000	23,000,000	15,000,000
Deferred revenue	42,000,000	36,000,000	42,000,000
Other	3,000,000	11,000,000	3,000,000
Subtotal	381,000,000	486,000,000	381,000,000
Tax valuation allowance	(39,000,000)	(46,000,000)	(39,000,000)
Total deferred tax assets	342,000,000	440,000,000	342,000,000
Deferred tax liabilities: [Abstract]
Inventory	0	(1,000,000)	0
Intangibles	(6,000,000)	(15,000,000)	(6,000,000)
Property, plant and equipment	(10,000,000)	(11,000,000)	(10,000,000)
Warranty reserves	0	0	0
Pension benefits	(18,000,000)	(18,000,000)	(18,000,000)
Employee benefits, other than retirement	0	0	0
Net operating loss, capital loss, and credit carryforwards	0	0	0
State taxes	0	0	0
Unremitted earnings of foreign subsidiaries	(53,000,000)	(33,000,000)	(53,000,000)
Share-based compensation	0	0	0
Deferred revenue	(1,000,000)	(3,000,000)	(1,000,000)
Other	(11,000,000)	(7,000,000)	(11,000,000)
Subtotal	(99,000,000)	(88,000,000)	(99,000,000)
Tax valuation allowance	0	0	0
Total deferred tax liabilities	(99,000,000)	(88,000,000)	(99,000,000)
Net deferred tax assets arising from confirmation from Singaporean government of ability to amortize certain intangible property rights		219,000,000
Amortization of Intangible Assets		15,000,000	8,000,000	9,000,000
Addition of deferred tax assets for capital losses from acquisitions		34,000,000
Decrease in current deferred tax assets		4,000,000
Decrease in noncurrent deferred tax assets		43,000,000
Decrease in tax attributes		83,000,000
Decrease in foreign unremitted earnings		53,000,000
Decrease in valuation allowance		36,000,000	2,000,000
Undistributed Foreign Earnings Considered Permanently Reinvested		1,100,000,000
Current and long term Deferred tax assets and liabilities [Abstract]
Current deferred tax assets	83,000,000	74,000,000	83,000,000
Long-term deferred tax assets	163,000,000	295,000,000	163,000,000
Current deferred tax liabilities (included within other accrued liabilities)	(1,000,000)	(2,000,000)	(1,000,000)
Long-term deferred tax liabilities (included within other long-term liabilities)	(2,000,000)	(15,000,000)	(2,000,000)
Total	243,000,000	352,000,000	243,000,000
Income Tax Benefit Related to Foreign Valuation Allowance Reversal	6,000,000
Federal net operating loss carryforwards		3,000,000
Tax credit carryforwards		$ 1,000,000
Operating Loss Carryforwards, Expiration Date Range		2035
Tax Credit Carryforward Expiration Year		2025
Foreign net operating loss carryforwards		$ 1,519,000,000
Portion of this foreign loss which will expire in years beginning 2019 through 2023		39,000,000
Balance of this foreign loss with an indefinite life		1,480,000,000
Portion Of Deferred Tax Assets Operating Loss Carryforwards Foreign With No Expiration Dates, Portion Attributable to Acquisitions		13,000,000
Deferred Tax Assets, Capital Loss Carryforwards		177,000,000
Deferred Tax Assets, Tax Credit Carryforwards, Foreign		2,000,000
Deferred Tax Assets Capital Loss Carryforwards Relating To Acquisitions		170,000,000
Deferred Tax Assets Tax Credit Carry forwards Foreign Relating To Acquisitions		2,000,000
Cumulative excess tax benefit realized for shared based awards		4,000,000
Effective Income Tax Rate, Continuing Operations, Tax Rate Reconciliation [Abstract]
Profit before tax times statutory rate		136,000,000	166,000,000	175,000,000
State income taxes, net of federal benefit		3,000,000	6,000,000	2,000,000
Non-U.S. income taxed at different rates		(107,000,000)	(113,000,000)	(147,000,000)
Singapore tax incentives through amortization		(219,000,000)	0	0
Retroactive Singapore tax rate incentive impact		(15,000,000)
Repatriation of foreign earnings		0	62,000,000	8,000,000
Foreign earnings not considered indefinitely reinvested		33,000,000	0	0
Change in unrecognized tax benefits		33,000,000	(39,000,000)	6,000,000
Valuation allowances		0	(5,000,000)	0
Other, net		11,000,000	6,000,000	0
Total provision (benefit) for income taxes		$ (125,000,000)	$ 83,000,000	$ 44,000,000
Effective tax rate (in hundredths)		(32.00%)	18.00%	9.00%
Impact of the tax holidays decreased in income taxes		$ 250,000,000	$ 40,000,000	$ 68,000,000
The benefit of the tax holidays on net income per share (diluted)		$ 1.46	$ 0.41	$ 0.57
Income tax benefit related to one-time items due to retroactive granting of Singapore tax incentives (in hundredths)		$ 1.21
Income tax benefit related to prior year reserve release			$ 55,000,000
Income Tax Assets and Liabilities [Abstract]
Current income tax liabilities (included within income and other taxes payable)	(60,000,000)	$ (3,000,000)	(60,000,000)
Long-term income tax liabilities (included within other long-term liabilities)	(82,000,000)	(14,000,000)	(82,000,000)
Total	(142,000,000)	(17,000,000)	(142,000,000)
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]
Balance, beginning of year		129,000,000	173,000,000	$ 162,000,000
Reductions due to spin transaction		(113,000,000)	0	0
Additions due to acquisition		2,000,000	0	0
Additions for tax positions related to the current year		34,000,000	10,000,000	9,000,000
Additions for tax positions from prior years		2,000,000	9,000,000	5,000,000
Reductions for tax positions from prior years		(4,000,000)	(59,000,000)	(2,000,000)
Settlements with taxing authorities		0	(1,000,000)	0
Statute of limitations expirations		0	(3,000,000)	(1,000,000)
Balance, end of year	129,000,000	50,000,000	129,000,000	173,000,000
Unrecognized Tax Benefits that Would Impact Effective Tax Rate		50,000,000
Interest and penalties relating to unrecognized tax benefits recognized		0	4,000,000	$ 2,000,000
Interest and penalties accrued related to unrecognized tax benefits accrued and reported	$ 8,000,000	1,000,000	$ 8,000,000
Property Rights [Member]
Deferred tax liabilities: [Abstract]
Amortization of Intangible Assets		$ 88,000,000

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