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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
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