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, 2023	Sep. 30, 2022
Deferred tax assets:
Inventories	$ 5,457	$ 4,990
Pension and other postretirement benefits	658	664
Capitalized research and development expenditures	4,114	0
Lease liabilities	9,822	7,073
Net operating and capital loss carryforwards-domestic	553	575
Net operating loss carry forward - foreign	3,714	3,396
Other compensation-related costs and other cost accruals	8,691	9,093
State credit carryforward	2,249	1,676
Foreign credit carryforward		203
Total deferred tax assets	35,258	27,670
Deferred tax liabilities:
ROU assets	(9,822)	(7,073)
Goodwill	(13,313)	(11,691)
Acquisition intangible assets	(61,187)	(62,051)
Depreciation, software amortization	(21,772)	(24,503)
Net deferred tax liabilities before valuation allowance	(70,836)	(77,648)
Less valuation allowance	(1,772)	(1,208)
Net deferred tax liabilities	$ (72,608)	$ (78,856)