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Other Intangible Assets and Goodwill (Finite-Lived Intangible Assets) (Details) - USD ($) $ in Millions | 12 Months Ended
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Sep. 30, 2018 | Oct. 01, 2017 | Oct. 02, 2016
Finite-Lived Intangible Assets [Line Items] |  |  |
Finite-lived intangible assets, amortization expense | $ 186.5 | $ 57.5 | $ 57.3
Gross carrying amount | 1,182.2 | 409.0 |
Accumulated amortization | (371.0) | (194.8) |
Net Carrying Amount | 811.2 | 214.2 |
Acquired and reacquired rights [Member] |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Gross carrying amount | 1,081.7 | 328.8 |
Accumulated amortization | (320.1) | (154.2) |
Net Carrying Amount | 761.6 | 174.6 |
Acquired trade secrets and processes [Member] |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Gross carrying amount | 27.6 | 27.6 |
Accumulated amortization | (16.5) | (13.7) |
Net Carrying Amount | 11.1 | 13.9 |
Trade Names, trademarks and patents [Member] |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Gross carrying amount | 33.0 | 31.5 |
Accumulated amortization | (19.5) | (17.6) |
Net Carrying Amount | 13.5 | 13.9 |
Licensing agreements [Member] |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Gross carrying amount | 14.3 | 14.4 |
Accumulated amortization | (5.1) | (3.8) |
Net Carrying Amount | 9.2 | 10.6 |
Other finite-lived intangible assets [Member] |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Gross carrying amount | 25.6 | 6.7 |
Accumulated amortization | (9.8) | (5.5) |
Net Carrying Amount | $ 15.8 | $ 1.2 |

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- Definition The aggregate expense charged against earnings to allocate the cost of intangible assets (nonphysical assets not used in production) in a systematic and rational manner to the periods expected to benefit from such assets. As a noncash expense, this element is added back to net income when calculating cash provided by or used in operations using the indirect method. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 230 -SubTopic 10 -Section 45 -Paragraph 28 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=109223946&loc=d3e3602-108585 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 50 -Paragraph 2 -Subparagraph (a)(2) -URI http://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275 Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 45 -Paragraph 2 -URI http://asc.fasb.org/extlink&oid=6388964&loc=d3e16225-109274 + Details
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- Definition Accumulated amount of amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 50 -Paragraph 2 -Subparagraph (a)(1) -URI http://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275 + Details
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- Definition Amount before amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 928 -SubTopic 340 -Section 50 -Paragraph 1 -URI http://asc.fasb.org/extlink&oid=6473545&loc=d3e61844-108004 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 50 -Paragraph 2 -Subparagraph (a)(1) -URI http://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275 + Details
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