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Goodwill and Purchased Intangible Assets - Schedule of Purchased Intangible Assets (Details) - USD ($) $ in Millions	12 Months Ended
	Sep. 30, 2020	Sep. 30, 2019
Acquired Finite Lived Intangible Assets [Line Items]
Weighted- Average Life (in years)	14 years 8 months 12 days	14 years 8 months 12 days
Gross	$ 731.2	$ 731.2
Accumulated Amortization	(697.7)	(686.6)
Net	33.5	44.6
Non-amortizable trade names	384.7	387.7
Intangible assets excluding goodwill, gross	1,115.9	1,118.9
Purchased intangible assets, net	$ 418.2	$ 432.3
Distribution network
Acquired Finite Lived Intangible Assets [Line Items]
Weighted- Average Life (in years)	39 years 1 month 6 days	39 years 1 month 6 days
Gross	$ 55.4	$ 55.4
Accumulated Amortization	(33.8)	(32.3)
Net	$ 21.6	$ 23.1
Technology-related
Acquired Finite Lived Intangible Assets [Line Items]
Weighted- Average Life (in years)	11 years 10 months 24 days	11 years 10 months 24 days
Gross	$ 104.7	$ 104.7
Accumulated Amortization	(103.3)	(102.6)
Net	$ 1.4	$ 2.1
Customer relationships
Acquired Finite Lived Intangible Assets [Line Items]
Weighted- Average Life (in years)	12 years 9 months 18 days	12 years 9 months 18 days
Gross	$ 554.7	$ 554.8
Accumulated Amortization	(545.6)	(536.8)
Net	$ 9.1	$ 18.0
Other
Acquired Finite Lived Intangible Assets [Line Items]
Weighted- Average Life (in years)	16 years 3 months 18 days	16 years 1 month 6 days
Gross	$ 16.4	$ 16.3
Accumulated Amortization	(15.0)	(14.9)
Net	$ 1.4	$ 1.4

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