Summary of Significant Accounting Policies Effects of Early Adoption of New Accounting Pronouncement (Details) - USD ($) $ in Millions	12 Months Ended
Oct. 01, 2017	Oct. 02, 2016	Sep. 27, 2015
New Accounting Pronouncement, Early Adoption [Line Items]
Excess Tax Benefit from Share-based Compensation, Operating Activities	$ 77.5	$ 122.8	$ 132.4
Long-term deferred income tax assets	795.4	885.4
Long-term deferred income tax liabilities (included in Other long-term liabilities)	6.3	14.7
Net deferred tax asset	$ 789.1	870.7
Long-term Debt [Member]
New Accounting Pronouncement, Early Adoption [Line Items]
Debt Issuance Costs, Net		$ 17.0

Amount, after accumulated amortization, of debt issuance costs. Includes, but is not limited to, legal, accounting, underwriting, printing, and registration costs.

Reference 1: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 835
-SubTopic 30
-Section 45
-Paragraph 3
-URI http://asc.fasb.org/extlink&oid=64930785&loc=d3e28555-108399

Reference 2: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 210
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02.17)
-URI http://asc.fasb.org/extlink&oid=6877327&loc=d3e13212-122682

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Reference 1: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 740
-SubTopic 10
-Section 50
-Paragraph 2
-URI http://asc.fasb.org/extlink&oid=84230637&loc=d3e32537-109319

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Reference 3: http://www.xbrl.org/2003/role/presentationRef
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Reference 1: http://www.xbrl.org/2003/role/presentationRef
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-URI http://asc.fasb.org/extlink&oid=84176650&loc=d3e31931-109318

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Reference 1: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
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