Condensed Consolidating Guarantor and Non-Guarantor Financial Information - Statement of Cash Flows (Details) - USD ($) $ in Millions	12 Months Ended
	Oct. 31, 2016	Oct. 31, 2015	Oct. 31, 2014
Net cash provided by (used in) operations	$ 267	$ 46	$ (336)
Net change in restricted cash and cash equivalents	5	42	(80)
Net sales of marketable securities	113	446	225
Capital expenditures and purchase of equipment leased to others	(248)	(198)	(277)
Other investing activities	63	26	57
Net cash provided by (used in) investing activities	(67)	316	(75)
Net repayments of debt	(342)	115	150
Other financing activities	(11)	(17)	29
Net cash provided by (used in) financing activities	(353)	98	179
Effect of exchange rate changes on cash and cash equivalents	45	(45)	(26)
Increase (decrease) in cash and cash equivalents	(108)	415	(258)
Cash and cash equivalents at beginning of the year	912	497	755
Cash and cash equivalents at end of the year	804	912	497
Parent Company [Member]
Net cash provided by (used in) operations	(106)	87	(285)
Net change in restricted cash and cash equivalents	0	3	5
Net sales of marketable securities	85	266	203
Capital expenditures and purchase of equipment leased to others	0	0	0
Other investing activities	0	0	0
Net cash provided by (used in) investing activities	85	269	208
Net repayments of debt	0	(2)	(176)
Other financing activities	0	1	18
Net cash provided by (used in) financing activities	0	(1)	(158)
Effect of exchange rate changes on cash and cash equivalents	0	0	0
Increase (decrease) in cash and cash equivalents	(21)	355	(235)
Cash and cash equivalents at beginning of the year	456	101	336
Cash and cash equivalents at end of the year	435	456	101
Guarantor Subsidiaries [Member]
Net cash provided by (used in) operations	187	184	(1,287)
Net change in restricted cash and cash equivalents	1	(4)	(1)
Net sales of marketable securities	0	0	0
Capital expenditures and purchase of equipment leased to others	(94)	(82)	(114)
Other investing activities	2	3	17
Net cash provided by (used in) investing activities	(91)	(83)	(98)
Net repayments of debt	(82)	(38)	1,306
Other financing activities	22	(35)	60
Net cash provided by (used in) financing activities	(60)	(73)	1,366
Effect of exchange rate changes on cash and cash equivalents	0	0	0
Increase (decrease) in cash and cash equivalents	36	28	(19)
Cash and cash equivalents at beginning of the year	81	53	72
Cash and cash equivalents at end of the year	117	81	53
Non-Guarantor Subsidiaries [Member]
Net cash provided by (used in) operations	337	168	(112)
Net change in restricted cash and cash equivalents	4	43	(84)
Net sales of marketable securities	28	180	22
Capital expenditures and purchase of equipment leased to others	(154)	(116)	(163)
Other investing activities	61	23	40
Net cash provided by (used in) investing activities	(61)	130	(185)
Net repayments of debt	(191)	(113)	409
Other financing activities	(253)	(108)	(90)
Net cash provided by (used in) financing activities	(444)	(221)	319
Effect of exchange rate changes on cash and cash equivalents	45	(45)	(26)
Increase (decrease) in cash and cash equivalents	(123)	32	(4)
Cash and cash equivalents at beginning of the year	375	343	347
Cash and cash equivalents at end of the year	252	375	343
Consolidation, Eliminations [Member]
Net cash provided by (used in) operations	(151)	(393)	1,348
Net change in restricted cash and cash equivalents	0	0	0
Net sales of marketable securities	0	0	0
Capital expenditures and purchase of equipment leased to others	0	0	0
Other investing activities	0	0	0
Net cash provided by (used in) investing activities	0	0	0
Net repayments of debt	(69)	268	(1,389)
Other financing activities	220	125	41
Net cash provided by (used in) financing activities	151	393	(1,348)
Effect of exchange rate changes on cash and cash equivalents	0	0	0
Increase (decrease) in cash and cash equivalents	0	0	0
Cash and cash equivalents at beginning of the year	0	0	0
Cash and cash equivalents at end of the year	$ 0	$ 0	$ 0