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Income Tax Expense - Tax effects of temporary differences that give rise to significant portions of the deferred tax assets and liabilities (Details) - USD ($) $ in Thousands	Sep. 30, 2025	Sep. 30, 2024
Deferred tax assets:
Inventories	$ 5,589	$ 4,663
Pension and other postretirement benefits	417	460
Capitalized research and development expenditures	14,648	9,726
Lease liabilities	8,571	7,183
Net operating and capital loss carryforwards - domestic	473	544
Net operating loss carryforward - foreign	3,855	3,855
Other compensation-related costs and other cost accruals	9,904	9,289
State credit carryforward	1,016	1,601
Total deferred tax assets	44,473	37,321
Deferred tax liabilities:
ROU assets	(8,906)	(6,627)
Goodwill	(15,904)	(13,353)
Acquisition intangible assets	(107,190)	(66,986)
Depreciation, software amortization	(20,359)	(17,079)
Net deferred tax liabilities before valuation allowance	(107,886)	(66,724)
Less valuation allowance	(1,347)	(1,513)
Net deferred tax liabilities	$ (109,233)	$ (68,237)

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