Guarantor and Non-Guarantor Financial Information, Condensed Supplemental Consolidated Statements of Cash Flows (Details) - USD ($) $ in Millions	12 Months Ended
	Sep. 30, 2017	Oct. 01, 2016	Sep. 26, 2015
Condensed Supplemental Consolidated Statements of Cash Flows [Abstract]
Cash flow from operating activities	$ 975	$ 857	$ 637
Cash Flow from Investing Activities [Abstract]
Additions to property, plant and equipment	(269)	(288)	(180)
Proceeds from sale of assets	6	5	18
Investment in Parent	0	0	0
(Contributions) distributions to/from subsidiaries	0	0	0
Intercompany advances (repayments)	0	0	0
Acquisition of business, net of cash acquired	(515)	(2,283)	(3)
Other investing activities, net	4	(13)	0
Net cash from investing activities	(774)	(2,579)	(165)
Cash Flow from Financing Activities [Abstract]
Proceeds from long-term borrowings	495	2,490	693
Repayment of long-term borrowings	(636)	(524)	(951)
Proceeds from issuance of common stock	31	26	18
Payment of tax receivable agreement	(111)	(57)	(39)
Debt financing costs	(5)	(40)	(86)
Purchase of non-controlling interest	0	(78)	0
Changes in intercompany balances	0	0	0
Contribution from Parent	0	0
Net cash from financing activities	(226)	1,817	(365)
Effect of currency translation on cash	8	0	(8)
Net change in cash and cash equivalents	(17)	95	99
Cash and cash equivalents at beginning of period	323	228	129
Cash and cash equivalents at end of period	306	323	228
Eliminations [Member]
Condensed Supplemental Consolidated Statements of Cash Flows [Abstract]
Cash flow from operating activities	0	0	1
Cash Flow from Investing Activities [Abstract]
Additions to property, plant and equipment	0	0	0
Proceeds from sale of assets	0	0	0
Investment in Parent	0	0	0
(Contributions) distributions to/from subsidiaries	515	2,260	0
Intercompany advances (repayments)	(428)	(96)	(368)
Acquisition of business, net of cash acquired	0	0	0
Other investing activities, net	0	0
Net cash from investing activities	87	2,164	(368)
Cash Flow from Financing Activities [Abstract]
Proceeds from long-term borrowings	0	0	0
Repayment of long-term borrowings	0	0	0
Proceeds from issuance of common stock	0	0	0
Payment of tax receivable agreement	0	0	0
Debt financing costs	0	0	0
Purchase of non-controlling interest	0	0
Changes in intercompany balances	428	96	367
Contribution from Parent	(515)	(2,260)
Net cash from financing activities	(87)	(2,164)	367
Effect of currency translation on cash	0	0	0
Net change in cash and cash equivalents	0	0	0
Cash and cash equivalents at beginning of period	0	0	0
Cash and cash equivalents at end of period	0	0	0
Parent [Member]
Condensed Supplemental Consolidated Statements of Cash Flows [Abstract]
Cash flow from operating activities	0	0	0
Cash Flow from Investing Activities [Abstract]
Additions to property, plant and equipment	0	0	0
Proceeds from sale of assets	0	0	0
Investment in Parent	0	0	0
(Contributions) distributions to/from subsidiaries	(31)	(26)	(18)
Intercompany advances (repayments)	0	0	0
Acquisition of business, net of cash acquired	0	0	0
Other investing activities, net	0	0
Net cash from investing activities	(31)	(26)	(18)
Cash Flow from Financing Activities [Abstract]
Proceeds from long-term borrowings	0	0	0
Repayment of long-term borrowings	0	0	0
Proceeds from issuance of common stock	31	26	18
Payment of tax receivable agreement	(111)	(57)	(39)
Debt financing costs	0	0	0
Purchase of non-controlling interest	0	0
Changes in intercompany balances	111	57	39
Contribution from Parent	0	0
Net cash from financing activities	31	26	18
Effect of currency translation on cash	0	0	0
Net change in cash and cash equivalents	0	0	0
Cash and cash equivalents at beginning of period	0	0	0
Cash and cash equivalents at end of period	0	0	0
Issuer [Member]
Condensed Supplemental Consolidated Statements of Cash Flows [Abstract]
Cash flow from operating activities	128	103	60
Cash Flow from Investing Activities [Abstract]
Additions to property, plant and equipment	(19)	(13)	(13)
Proceeds from sale of assets	1	0	0
Investment in Parent	0	0	0
(Contributions) distributions to/from subsidiaries	(484)	(2,234)	18
Intercompany advances (repayments)	428	96	368
Acquisition of business, net of cash acquired	0	0	0
Other investing activities, net	4	(13)
Net cash from investing activities	(70)	(2,164)	373
Cash Flow from Financing Activities [Abstract]
Proceeds from long-term borrowings	495	2,490	693
Repayment of long-term borrowings	(632)	(450)	(947)
Proceeds from issuance of common stock	0	0	0
Payment of tax receivable agreement	0	0	0
Debt financing costs	(5)	(40)	(86)
Purchase of non-controlling interest	0	0
Changes in intercompany balances	0	0	0
Contribution from Parent	0	0
Net cash from financing activities	(142)	2,000	(340)
Effect of currency translation on cash	0	0	0
Net change in cash and cash equivalents	(84)	(61)	93
Cash and cash equivalents at beginning of period	102	163	70
Cash and cash equivalents at end of period	18	102	163
Guarantor Subsidiaries [Member]
Condensed Supplemental Consolidated Statements of Cash Flows [Abstract]
Cash flow from operating activities	647	566	542
Cash Flow from Investing Activities [Abstract]
Additions to property, plant and equipment	(209)	(239)	(164)
Proceeds from sale of assets	5	5	18
Investment in Parent	0	0	0
(Contributions) distributions to/from subsidiaries	0	0	0
Intercompany advances (repayments)	0	0	0
Acquisition of business, net of cash acquired	(515)	(368)	(3)
Other investing activities, net	0	0
Net cash from investing activities	(719)	(602)	(149)
Cash Flow from Financing Activities [Abstract]
Proceeds from long-term borrowings	0	0	0
Repayment of long-term borrowings	(3)	(23)	0
Proceeds from issuance of common stock	0	0	0
Payment of tax receivable agreement	0	0	0
Debt financing costs	0	0	0
Purchase of non-controlling interest	0	(66)
Changes in intercompany balances	(433)	(238)	(408)
Contribution from Parent	515	368
Net cash from financing activities	79	41	(408)
Effect of currency translation on cash	0	0	0
Net change in cash and cash equivalents	7	5	(15)
Cash and cash equivalents at beginning of period	5	0	15
Cash and cash equivalents at end of period	12	5	0
Non-Guarantor Subsidiaries [Member]
Condensed Supplemental Consolidated Statements of Cash Flows [Abstract]
Cash flow from operating activities	200	188	34
Cash Flow from Investing Activities [Abstract]
Additions to property, plant and equipment	(41)	(36)	(3)
Proceeds from sale of assets	0	0	0
Investment in Parent	0	0	0
(Contributions) distributions to/from subsidiaries	0	0	0
Intercompany advances (repayments)	0	0	0
Acquisition of business, net of cash acquired	0	(1,915)	0
Other investing activities, net	0	0
Net cash from investing activities	(41)	(1,951)	(3)
Cash Flow from Financing Activities [Abstract]
Proceeds from long-term borrowings	0	0	0
Repayment of long-term borrowings	(1)	(51)	(4)
Proceeds from issuance of common stock	0	0	0
Payment of tax receivable agreement	0	0	0
Debt financing costs	0	0	0
Purchase of non-controlling interest	0	(12)
Changes in intercompany balances	(106)	85	2
Contribution from Parent	0	1,892
Net cash from financing activities	(107)	1,914	(2)
Effect of currency translation on cash	8	0	(8)
Net change in cash and cash equivalents	60	151	21
Cash and cash equivalents at beginning of period	216	65	44
Cash and cash equivalents at end of period	$ 276	$ 216	$ 65