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Other Intangible Assets and Goodwill Other Intangible Assets and Goodwill (Finite-Lived Intangible Assets) (Details) - USD ($) $ in Millions | 3 Months Ended | 6 Months Ended |
--- | --- | --- | ---
Apr. 01, 2018 | Apr. 02, 2017 | Apr. 01, 2018 | Apr. 02, 2017 | Oct. 01, 2017
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Gross carrying amount | $ 1,277.0 |  | $ 1,277.0 |  | $ 409.0
Accumulated amortization | (277.5) |  | (277.5) |  | (194.8)
Net carrying amount | 999.5 |  | 999.5 |  | 214.2
Finite-Lived Intangible Assets, Amortization Expense, Next Twelve Months | 58.8 | $ 14.0 | 72.8 | $ 28.5 |
Acquired and reacquired rights |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Gross carrying amount | 1,174.5 |  | 1,174.5 |  | 328.8
Accumulated amortization | (232.1) |  | (232.1) |  | (154.2)
Net carrying amount | 942.4 |  | 942.4 |  | 174.6
Acquired trade secrets and processes [Member] |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Gross carrying amount | 32.0 |  | 32.0 |  | 27.6
Accumulated amortization | (18.3) |  | (18.3) |  | (13.7)
Net carrying amount | 13.7 |  | 13.7 |  | 13.9
Trade Names, Trademarks and Patents [Member] |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Gross carrying amount | 27.6 |  | 27.6 |  | 31.5
Accumulated amortization | (15.1) |  | (15.1) |  | (17.6)
Net carrying amount | 12.5 |  | 12.5 |  | 13.9
Licensing Agreements [Member] |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Gross carrying amount | 15.3 |  | 15.3 |  | 14.4
Accumulated amortization | (4.8) |  | (4.8) |  | (3.8)
Net carrying amount | 10.5 |  | 10.5 |  | 10.6
Other finite-lived intangible assets [Member] |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Gross carrying amount | 27.6 |  | 27.6 |  | 6.7
Accumulated amortization | (7.2) |  | (7.2) |  | (5.5)
Net carrying amount | $ 20.4 |  | $ 20.4 |  | $ 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://www.xbrl.org/2003/role/presentationRef -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 Reference 2: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 230 -SubTopic 10 -Section 45 -Paragraph 28 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=98514028&loc=d3e3602-108585 Reference 3: http://www.xbrl.org/2003/role/presentationRef -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 + 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://www.xbrl.org/2003/role/presentationRef -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/presentationRef -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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