Identifiable Intangible Assets Schedule of Intangible Assets and Goodwill (Details) - USD ($) $ in Millions	12 Months Ended
	Sep. 30, 2020	Sep. 30, 2019	Sep. 30, 2018
Indefinite-lived intangible assets:
Goodwill	$ 99.8	$ 95.7	$ 12.1
Intangible Assets, Gross, (Including Goodwill)	760.4	758.0
Accumulated amortization:
Intangible Assets, Net (Excluding Goodwill)	408.9	433.7
Goodwill, Acquired During Period	0.3	80.1
Indefinite-lived Intangible Assets, Foreign Currency Translation Gain (Loss)	3.8	3.5
Business Combination-Related Identifiable Intangible [Member]
Accumulated amortization:
Accumulated Amortization	362.2	337.0
Net book value	398.2	421.0
Trademarks and Trade Names [Member]
Indefinite-lived intangible assets:
Trade names and trademarks	271.6	271.4
Software and Software Development Costs [Member]
Capitalized external-use software:
Capitalized Computer Software, Gross	31.5	30.2
Accumulated amortization	20.8	17.5
Net book value	10.7	12.7
Technology-Based Intangible Assets [Member]
Finite-lived intangible assets:
Technology	118.5	116.6
Accumulated amortization:
Accumulated Amortization	81.0	76.4
Customer Relationships [Member]
Finite-lived intangible assets:
Customer relationships and other	370.2	370.0
Accumulated amortization:
Accumulated Amortization	$ 281.2	$ 260.6