Significant Accounting Policies - Narrative (Details) $ in Millions	12 Months Ended
	Sep. 30, 2024 USD ($) numberOfPrincipalActivities reporting_unit	Sep. 30, 2023 USD ($)	Sep. 30, 2022 USD ($)
Property, Plant, and Equipment
Capitalized cloud computing arrangements	$ 33.1	$ 20.5	$ 21.9
Amortization expense for capitalized computer implementation costs	$ 4.2	3.3	3.0
Number of reporting units | reporting_unit	1
Undiscounted maximum potential future payments under guarantees	$ 32.8
Number of principal activities | numberOfPrincipalActivities	2
Customer incentives	$ 222.6	190.3	176.5
Reserves for customer programs and incentives	3.4	3.2	2.8
Advertising costs	$ 69.4	$ 60.5	$ 54.8
Transferred at Point in Time
Property, Plant, and Equipment
Percentage of revenue recognized	95.00%
Minimum
Property, Plant, and Equipment
Lease term (less than one year, more than 20 years)	5 years
Expected timing of satisfaction for revenue performance obligations	10 years
Payment terms	30 days
Minimum | Buildings
Property, Plant, and Equipment
Estimated useful life of property, plant and equipment	7 years
Minimum | Machinery and equipment
Property, Plant, and Equipment
Estimated useful life of property, plant and equipment	5 years
Maximum
Property, Plant, and Equipment
Lease term (less than one year, more than 20 years)	20 years
Expected timing of satisfaction for revenue performance obligations	15 years
Payment terms	60 days
Maximum | Buildings
Property, Plant, and Equipment
Estimated useful life of property, plant and equipment	20 years
Maximum | Machinery and equipment
Property, Plant, and Equipment
Estimated useful life of property, plant and equipment	7 years