Consolidated Balance Sheet Parentheticals - USD ($) $ in Millions	Sep. 30, 2023	Sep. 30, 2022
Statement of Financial Position [Abstract]
Allowance for doubtful accounts, trade receivable	$ 5.6	$ 3.8
Preferred shares, par value (in usd per share)	$ 0.01	$ 0.01
Preferred shares, authorized (in shares)	10,000,000.0	10,000,000
Preferred shares, issued (in shares)	0
Preferred shares, outstanding (in shares)		0
Common shares, par value (in usd per share)	$ 0.01	$ 0.01
Common shares, authorized (in shares)	300,000,000	300,000,000.0
Common shares, issued (in shares)	65,251,989	65,251,989
Common shares, outstanding (in shares)	50,118,789	51,573,001
Treasury shares (in shares)	15,133,200	13,678,988
Trade receivables	$ 106.2	$ 136.9
Inventories	492.4	449.3
Other current assets	147.4	167.3
Assets, Current	962.4	942.2
Property, plant and equipment, net	337.9	345.5
Goodwill	1,331.4	1,322.2
Other intangible assets, net	973.8	996.6
Other assets	135.2	106.6
Total assets	3,740.7	3,713.1
Notes payable	19.5	19.0
Accounts payable	194.4	228.8
Other current liabilities	309.5	291.7
Total current liabilities	523.4	539.5
Long-term debt	1,360.7	1,391.4
Deferred income tax liabilities	136.4	140.4
Other liabilities	179.7	174.7
Total liabilities	2,200.2	2,246.0
Cash and cash equivalents	216.4	188.7
Preferred shares	0.0	0.0
Common shares	0.7	0.7
Additional paid-in capital	1,593.8	1,604.3
Retained earnings	1,022.1	939.1
Treasury Stock, Value	906.1	860.9
Accumulated other comprehensive loss	(170.0)	(216.1)
Stockholders' Equity Attributable to Parent	1,540.5	1,467.1
Liabilities and Equity	$ 3,740.7	$ 3,713.1