Leases (Summary of Lease Information) (Details) - USD ($) $ in Millions		12 Months Ended
		Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2022
Lessee, Lease, Description [Line Items]
Lease right-of-use asset		$ 85.4	$ 68.5
Right of use asset - financial statement location		Other assets	Other assets
Operating Lease, Liability, Current, Statement of Financial Position [Extensible Enumeration]		Other current liabilities	Other current liabilities
Operating Lease, Liability, Statement of Financial Position [Extensible Enumeration]		Other Liabilities	Other Liabilities
Operating Lease, Liability, Current		$ 16.7	$ 14.0
Lease liability		$ 86.5	$ 67.9
Leases, weighted average remaining term (years)		8 years 1 month 6 days	8 years 4 months 24 days
Leases, weighted average incremental borrowing rate (percent)		8.80%	6.80%
Lease expense	[1]	$ 18.0	$ 12.5	$ 13.5
Leased assets obtained in exchange for new lease liabilities		32.1	25.9	7.6
Cash paid for amounts included in the measurement of lease liabilities		17.5	12.2	$ 13.5
Operating Lease, Liability, Noncurrent		$ 69.8	$ 53.9

[1] Lease expense is included in Cost of products sold or SG&A expense based on the nature of the lease. Short-term lease expense and variable lease expense are excluded from this amount and are not material.