Consolidated Balance Sheet Parentheticals - USD ($) $ in Millions	Sep. 30, 2024	Sep. 30, 2023
Statement of Financial Position [Abstract]
Allowance for doubtful accounts, trade receivable	$ 4.6	$ 5.6
Preferred shares, par value (in usd per share)	$ 0.01	$ 0.01
Preferred shares, authorized (in shares)	10,000,000	10,000,000.0
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)	300,000,000.0	300,000,000
Common shares, issued (in shares)	65,251,989	65,251,989
Common shares, outstanding (in shares)	48,920,813	50,118,789
Treasury shares (in shares)	16,331,176	15,133,200
Trade receivables	$ 109.4	$ 106.2
Inventories	477.3	492.4
Other current assets	140.2	147.4
Assets, Current	936.0	962.4
Property, plant and equipment, net	349.1	337.9
Goodwill	1,338.6	1,331.4
Other intangible assets, net	948.5	973.8
Other assets	158.7	135.2
Total assets	3,730.9	3,740.7
Notes payable	24.5	19.5
Accounts payable	219.3	194.4
Other current liabilities	319.8	309.5
Total current liabilities	563.6	523.4
Long-term debt	1,275.0	1,360.7
Deferred income tax liabilities	133.2	136.4
Other liabilities	175.0	179.7
Total liabilities	2,146.8	2,200.2
Cash and cash equivalents	209.1	216.4
Preferred shares	0.0	0.0
Common shares	0.7	0.7
Additional paid-in capital	1,586.0	1,593.8
Retained earnings	1,090.1	1,022.1
Treasury Stock, Value	937.9	906.1
Accumulated other comprehensive loss	(154.8)	(170.0)
Stockholders' Equity Attributable to Parent	1,584.1	1,540.5
Liabilities and Equity	$ 3,730.9	$ 3,740.7