Summary of Accounting Policies (Details)		12 Months Ended
	Jul. 01, 2025 USD ($)	Sep. 30, 2025 USD ($) segment reporting_unit	Sep. 30, 2024 USD ($)	Sep. 30, 2023 USD ($)
Property, Plant and Equipment [Line Items]
Depreciation		$ 38,100,000	$ 34,900,000	$ 31,500,000
Advertising costs		$ 16,200,000	9,000,000	15,500,000
Number of reporting units | reporting_unit		1
Goodwill impairments	$ 0	$ 0	0	0
Accumulated impairment loss		0
Transactional foreign exchange gains		1,200,000		0
Transactional foreign exchange losses			4,400,000	0
Selling and administrative expense		$ 332,000,000.0	365,100,000	341,300,000
Number of operating segments | segment		1
Number of reportable segments | segment		1
Cash paid for interest, net of interest capitalized		$ 103,800,000	117,700,000	111,000,000.0
Cash paid for income taxes, net of refunds		50,100,000	29,100,000	30,400,000
Shipping and Handling
Property, Plant and Equipment [Line Items]
Selling and administrative expense		$ 40,800,000	41,300,000	36,900,000
Patents – net
Property, Plant and Equipment [Line Items]
Intangible assets useful life		20 years
Property, Plant and Equipment, Net
Property, Plant and Equipment [Line Items]
Interest expense capitalized		$ 2,800,000	3,700,000	4,600,000
Deferred Income Taxes and Other Assets
Property, Plant and Equipment [Line Items]
Interest expense capitalized		$ 0	$ 100,000	$ 900,000
Minimum | Customer Relationships
Property, Plant and Equipment [Line Items]
Intangible assets useful life		10 years
Minimum | Other Intangible Assets
Property, Plant and Equipment [Line Items]
Intangible assets useful life		1 year
Minimum | Buildings
Property, Plant and Equipment [Line Items]
Property, plant and equipment useful life		20 years
Minimum | Machinery and Equipment
Property, Plant and Equipment [Line Items]
Property, plant and equipment useful life		4 years
Minimum | Leasehold improvements
Property, Plant and Equipment [Line Items]
Property, plant and equipment useful life		1 year
Maximum | Customer Relationships
Property, Plant and Equipment [Line Items]
Intangible assets useful life		15 years
Maximum | Other Intangible Assets
Property, Plant and Equipment [Line Items]
Intangible assets useful life		40 years
Maximum | Buildings
Property, Plant and Equipment [Line Items]
Property, plant and equipment useful life		45 years
Maximum | Machinery and Equipment
Property, Plant and Equipment [Line Items]
Property, plant and equipment useful life		13 years
Maximum | Leasehold improvements
Property, Plant and Equipment [Line Items]
Property, plant and equipment useful life		20 years