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Income Taxes, Net Deferred Income Tax Liability (Details) - USD ($)
$ in Millions
Sep. 30, 2017
Oct. 01, 2016
Deferred Tax Assets [Abstract]    
Allowance for doubtful accounts $ 7 $ 7
Deferred gain on sale-leaseback 10 11
Accrued liabilities and reserves 89 129
Inventories 6 10
Net operating loss carryforward 292 371
Alternative minimum tax (AMT) credit carryforward 11 10
Research and development credit carryforward 18 36
Federal and state tax credits 9 2
Other 14 6
Total deferred tax assets 456 582
Valuation allowance (93) (82)
Total deferred tax assets, net of valuation allowance 363 500
Deferred Tax Liabilities [Abstract]    
Property, plant and equipment 277 282
Intangible assets 475 435
Debt extinguishment 27 53
Other 3 2
Total deferred tax liabilities 782 772
Net deferred tax liability $ (419) $ (272)