Segment Information - Schedule of Financial Results for Reportable Segments (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Mar. 31, 2024	Mar. 31, 2023	Mar. 31, 2024	Mar. 31, 2023
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Sales	$ 60,767	$ 61,678	$ 183,479	$ 188,914
Operating (Loss) Income	710	4,114	5,663	13,792
Unallocated
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Sales	0	0	0	0
Operating (Loss) Income	(2,668)	(1,573)	(6,724)	(4,849)
NAI
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Sales	36,577	37,053	106,035	113,223
NAI | Operating Segments
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Sales	21,806	22,310	61,090	67,461
Operating (Loss) Income	(916)	656	(1,784)	1,532
NAI | Intercompany Sales
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Intercompany sales	345	243	1,027	1,442
INI | Operating Segments
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Sales	23,820	23,849	75,619	73,199
Operating (Loss) Income	1,785	2,416	6,771	8,902
INI | Intercompany Sales
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Intercompany sales	2,625	3,208	9,660	11,825
GTM | Operating Segments
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Sales	15,141	15,519	46,770	48,254
Operating (Loss) Income	2,509	2,615	7,400	8,207
Intercompany sales	83	83	274	519
GTM | Intercompany Sales
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Intercompany sales	$ 277	$ 348	$ 1,256	$ 1,016