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Goodwill and Intangible Assets - Schedule of Carrying Value and Accumulated Amortization for Intangible Assets (Details) - USD ($) $ in Millions | Sep. 30, 2020 | Sep. 30, 2019
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Finite-Lived Intangible Assets, Net [Abstract] |  |
Gross Carrying Amount | $ 1,028.8 | $ 1,034.7
Accumulated Amortization | (604.6) | (538.7)
Net | 424.2 | 496.0
Total Intangible Assets, Gross Carrying Amount | 2,036.3 | 2,045.8
Total Intangible Assets, Net | 1,431.7 | 1,507.1
Tradenames |  |
Finite-Lived Intangible Assets, Net [Abstract] |  |
Indefinite-lived Intangible Assets | 1,007.5 | 1,011.1
Customer relationships |  |
Finite-Lived Intangible Assets, Net [Abstract] |  |
Gross Carrying Amount | 692.1 | 694.9
Accumulated Amortization | (367.9) | (329.7)
Net | 324.2 | 365.2
Technology assets |  |
Finite-Lived Intangible Assets, Net [Abstract] |  |
Gross Carrying Amount | 175.7 | 179.4
Accumulated Amortization | (104.1) | (90.9)
Net | 71.6 | 88.5
Tradenames |  |
Finite-Lived Intangible Assets, Net [Abstract] |  |
Gross Carrying Amount | 161.0 | 160.4
Accumulated Amortization | (132.6) | (118.1)
Net | $ 28.4 | $ 42.3

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