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Goodwill and Intangible Assets - Schedule of Carrying Value and Accumulated Amortization for Intangible Assets (Details) - USD ($) $ in Millions | Jan. 03, 2021 | Sep. 30, 2020
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Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | $ 1,049.5 | $ 1,028.8
Accumulated Amortization | (625.1) | (604.6)
Net | 424.4 | 424.2
Total Intangible Assets, Gross Carrying Amount | 2,141.8 | 2,036.3
Total Intangible Assets, Net | 1,516.7 | 1,431.7
Tradenames |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | 1,092.3 | 1,007.5
Net | 1,092.3 | 1,007.5
Customer relationships |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | 712.7 | 692.1
Accumulated Amortization | (381.1) | (367.9)
Net | 331.6 | 324.2
Technology assets |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | 175.8 | 175.7
Accumulated Amortization | (107.8) | (104.1)
Net | 68.0 | 71.6
Tradenames |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | 161.0 | 161.0
Accumulated Amortization | (136.2) | (132.6)
Net | $ 24.8 | $ 28.4

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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/disclosureRef -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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