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Goodwill and Purchased Intangible Assets - Schedule of Purchased Intangible Assets (Details) - USD ($) $ in Millions	9 Months Ended	12 Months Ended
	Jun. 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	(696.3)	(686.6)
Net	34.9	44.6
Non-amortizable trade names	387.7	387.7
Intangible assets excluding goodwill, gross	1,118.9	1,118.9
Purchased intangible assets, net	$ 422.6	$ 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	(33.4)	(32.3)
Net	$ 22.0	$ 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	(103.1)	(102.6)
Net	$ 1.6	$ 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	$ 554.8	$ 554.8
Accumulated Amortization	(544.8)	(536.8)
Net	$ 10.0	$ 18.0
Other
Acquired Finite Lived Intangible Assets [Line Items]
Weighted- Average Life (in years)	16 years 1 month 6 days	16 years 1 month 6 days
Gross	$ 16.3	$ 16.3
Accumulated Amortization	(15.0)	(14.9)
Net	$ 1.3	$ 1.4

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