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, 2022	Sep. 30, 2021
Deferred tax assets:
Inventories	$ 4,990	$ 4,267
Pension and other postretirement benefits	664	859
Timing differences related to revenue recognition	61	9,365
Lease liabilities	7,073	7,614
Net operating and capital loss carryforwards-domestic	575	542
Net operating loss carryforward - foreign	3,396	4,279
Other compensation-related costs and other cost accruals	9,032	8,174
State credit carryforward	1,676	2,639
Foreign credit carryforward	203	192
Total deferred tax assets	27,670	37,931
Deferred tax liabilities:
ROU assets	(7,073)	(7,614)
Goodwill	(11,691)	(13,746)
Acquisition intangible assets	(62,051)	(62,052)
Depreciation, software amortization	(24,503)	(22,418)
Net deferred tax liabilities before valuation allowance	(77,648)	(67,899)
Less valuation allowance	(1,208)	(2,011)
Net deferred tax liabilities	$ (78,856)	$ (69,910)