Leases (Summary of Lease Information) (Details) - USD ($) $ in Millions		12 Months Ended
		Sep. 30, 2023	Sep. 30, 2022	Sep. 30, 2021
Lessee, Lease, Description [Line Items]
Lease right-of-use asset		$ 68.5	$ 50.1
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		$ 14.0	$ 8.8
Lease liability		$ 67.9	$ 50.3
Leases, weighted average remaining term (years)		8 years 4 months 24 days	10 years
Leases, weighted average incremental borrowing rate (percent)		6.80%	6.60%
Lease expense	[1]	$ 12.5	$ 13.5	$ 14.4
Leased assets obtained in exchange for new lease liabilities		25.9	7.6	28.0
Cash paid for amounts included in the measurement of lease liabilities		12.2	13.5	$ 14.3
Operating Lease, Liability, Noncurrent		$ 53.9	$ 41.5

[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.