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Goodwill and Purchased Intangible Assets - Schedule of Purchased Intangible Assets (Details) - USD ($) $ in Millions	3 Months Ended	12 Months Ended
	Dec. 31, 2019	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	$ 731.5	$ 731.2
Accumulated Amortization	(693.7)	(686.6)
Net	37.8	44.6
Non-amortizable trade names	387.7	387.7
Intangible assets excluding goodwill, gross	1,119.2	1,118.9
Purchased intangible assets, net	$ 425.5	$ 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	(32.7)	(32.3)
Net	$ 22.7	$ 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	(102.7)	(102.6)
Net	$ 2.0	$ 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	$ 555.0	$ 554.8
Accumulated Amortization	(543.3)	(536.8)
Net	$ 11.7	$ 18.0
Other
Acquired Finite Lived Intangible Assets [Line Items]
Weighted- Average Life (in years)	16 years 2 months 12 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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