Guarantor and Non-Guarantor Financial Information (Schedule of Condensed Consolidating Balance Sheets) (Details) - USD ($) $ in Millions	Dec. 31, 2019		Sep. 30, 2019		Dec. 31, 2018	Sep. 30, 2018
Current assets
Cash and cash equivalents	$ 251.8		$ 341.6		$ 239.9	$ 266.4
Trade receivables, net	183.2		205.6
Inventories	367.0		357.2
Other current assets	144.6		140.0
Total current assets	946.6		1,044.4
Investment in subsidiaries	0.0		0.0
Intercompany receivables, net	0.0	[1]	0.0	[2]
Property, plant and equipment, net	384.8		396.0
Goodwill	1,030.8		1,032.8
Other intangible assets, net	843.7		912.9
Other assets	97.3		34.8
Total assets	3,303.2		3,420.9
Liabilities [Abstract]
Current liabilities	462.5		659.6
Intercompany payables, net	0.0	[1]	0.0	[2]
Long-term debt	1,098.1		1,097.8
Deferred income tax liabilities	84.0		101.1
Other liabilities	310.5		258.9
Total liabilities	1,955.1		2,117.4
Shareholders’ equity
Total shareholders' equity	1,348.1		1,303.5		1,739.3	1,744.6
Total liabilities and shareholders' equity	3,303.2		3,420.9
Eliminations
Current assets
Cash and cash equivalents	0.0		0.0		0.0	0.0
Trade receivables, net	0.0		0.0
Inventories	0.0		0.0
Other current assets	0.0		0.0
Total current assets	0.0		0.0
Investment in subsidiaries	(4,430.5)		(4,497.0)
Intercompany receivables, net	(959.4)	[1]	(936.9)	[2]
Property, plant and equipment, net	0.0		0.0
Goodwill	0.0		0.0
Other intangible assets, net	0.0		0.0
Other assets	0.0		0.0
Total assets	(5,389.9)		(5,433.9)
Liabilities [Abstract]
Current liabilities	0.0		0.0
Intercompany payables, net	(959.4)	[1]	(936.9)	[2]
Long-term debt	0.0		0.0
Deferred income tax liabilities	0.0		0.0
Other liabilities	0.0		0.0
Total liabilities	(959.4)		(936.9)
Shareholders’ equity
Total shareholders' equity	(4,430.5)		(4,497.0)
Total liabilities and shareholders' equity	(5,389.9)		(5,433.9)
Parent
Current assets
Cash and cash equivalents	0.0		0.0		0.0	0.0
Trade receivables, net	0.0		0.0
Inventories	0.0		0.0
Other current assets	0.0		0.0
Total current assets	0.0		0.0
Investment in subsidiaries	3,411.8		3,357.4
Intercompany receivables, net	0.0	[1]	0.0	[2]
Property, plant and equipment, net	0.0		0.0
Goodwill	0.0		0.0
Other intangible assets, net	0.0		0.0
Other assets	0.3		0.4
Total assets	3,412.1		3,357.8
Liabilities [Abstract]
Current liabilities	6.5		19.6
Intercompany payables, net	959.4	[1]	936.9	[2]
Long-term debt	1,098.1		1,097.8
Deferred income tax liabilities	0.0		0.0
Other liabilities	0.0		0.0
Total liabilities	2,064.0		2,054.3
Shareholders’ equity
Total shareholders' equity	1,348.1		1,303.5
Total liabilities and shareholders' equity	3,412.1		3,357.8
Guarantors
Current assets
Cash and cash equivalents	73.0		2.6		2.2	2.5
Trade receivables, net	44.1		43.7
Inventories	198.8		193.1
Other current assets	63.3		59.7
Total current assets	379.2		299.1
Investment in subsidiaries	1,018.7		1,139.6
Intercompany receivables, net	892.6	[1]	878.7	[2]
Property, plant and equipment, net	279.5		292.1
Goodwill	733.0		741.0
Other intangible assets, net	639.2		711.8
Other assets	28.0		0.2
Total assets	3,970.2		4,062.5
Liabilities [Abstract]
Current liabilities	256.9		409.7
Intercompany payables, net	0.0	[1]	0.0	[2]
Long-term debt	0.0		0.0
Deferred income tax liabilities	71.7		88.7
Other liabilities	229.8		206.7
Total liabilities	558.4		705.1
Shareholders’ equity
Total shareholders' equity	3,411.8		3,357.4
Total liabilities and shareholders' equity	3,970.2		4,062.5
Non-Guarantors
Current assets
Cash and cash equivalents	178.8		339.0		$ 237.7	$ 263.9
Trade receivables, net	139.1		161.9
Inventories	168.2		164.1
Other current assets	81.3		80.3
Total current assets	567.4		745.3
Investment in subsidiaries	0.0		0.0
Intercompany receivables, net	66.8	[1]	58.2	[2]
Property, plant and equipment, net	105.3		103.9
Goodwill	297.8		291.8
Other intangible assets, net	204.5		201.1
Other assets	69.0		34.2
Total assets	1,310.8		1,434.5
Liabilities [Abstract]
Current liabilities	199.1		230.3
Intercompany payables, net	0.0	[1]	0.0	[2]
Long-term debt	0.0		0.0
Deferred income tax liabilities	12.3		12.4
Other liabilities	80.7		52.2
Total liabilities	292.1		294.9
Shareholders’ equity
Total shareholders' equity	1,018.7		1,139.6
Total liabilities and shareholders' equity	$ 1,310.8		$ 1,434.5

[1] Intercompany activities include product purchases between Guarantors and Non-Guarantors, charges for services provided by the Parent Company and various subsidiaries to other affiliates within the consolidated entity, and other intercompany activities in the normal course of business.

[2] Intercompany activities include product purchases between Guarantors and Non-Guarantors, charges for services provided by the Parent Company and various subsidiaries to other affiliates within the consolidated entity, and other intercompany activities in the normal course of business.