Goodwill and Indefinite-Lived Intangible Assets Intangible Assets Cost & Accum Amort (Details) - USD ($) $ in Millions	12 Months Ended
	Sep. 30, 2019	Sep. 30, 2018	Sep. 30, 2017
Acquired Finite-Lived Intangible Assets [Line Items]
Finite-Lived Customer Relationships, Gross	$ 658.1	$ 723.5
Finite-Lived Intangible Assets, Accumulated Amortization	597.0	532.8
Intangible Assets, Gross (Excluding Goodwill)	1,630.5	1,560.5
Capitalized Computer Software, Gross	176.5	167.1
Capitalized Computer Software, Accumulated Amortization	143.0	139.0
Finite-Lived Trademarks, Gross	488.9
Indefinite-Lived Trademarks		506.0
Other Finite-Lived Intangible Assets, Gross	28.4	25.2
Finite-Lived Intangible Assets, Amortization Expense, Next Twelve Months	116.7
Finite-Lived Intangible Assets, Amortization Expense, Year Two	107.7
Finite-Lived Intangible Assets, Amortization Expense, Year Three	91.5
Finite-Lived Intangible Assets, Amortization Expense, Year Four	74.4
Finite-Lived Intangible Assets, Amortization Expense, Year Five	63.0
Finite-Lived Intangible Assets, Amortization Expense, after Year Five	142.5
Amortization of Intangible Assets	132.7	117.9	$ 121.6
Customer Relationships [Member]
Acquired Finite-Lived Intangible Assets [Line Items]
Finite-Lived Intangible Assets, Accumulated Amortization	333.8	299.5
Trade Names [Member]
Acquired Finite-Lived Intangible Assets [Line Items]
Finite-Lived Intangible Assets, Accumulated Amortization	24.0	22.4
Developed Technology Rights [Member]
Acquired Finite-Lived Intangible Assets [Line Items]
Finite-Lived Intangible Assets, Accumulated Amortization	79.5	58.6
Finite-Lived Intangible Assets, Gross	278.6	138.7
Other Intangible Assets [Member]
Acquired Finite-Lived Intangible Assets [Line Items]
Finite-Lived Intangible Assets, Accumulated Amortization	$ 16.7	$ 13.3
Minimum [Member]
Acquired Finite-Lived Intangible Assets [Line Items]
Finite-Lived Intangible Asset, Useful Life	1 year