Business Segment Information - Reconciliations of Segment Gross Profit to Consolidated Income Before Income Taxes (Details) - USD ($) $ in Thousands	3 Months Ended
	Sep. 27, 2020	Sep. 29, 2019
Segment Reporting Reconciling Item For Operating Profit Loss From Segment To Consolidated [Line Items]
Gross profit	$ 14,561	$ 17,443
Selling, general and administrative expenses	11,364	10,980
(Benefit) provision for bad debts	(887)	9
Other operating expense, net	1,178	108
Operating income	2,906	6,346
Interest income	(125)	(210)
Interest expense	871	1,257
Equity in (earnings) loss of unconsolidated affiliates	(93)	866
Income before income taxes	2,253	4,433
Polyester [Member]
Segment Reporting Reconciling Item For Operating Profit Loss From Segment To Consolidated [Line Items]
Gross profit	4,632	7,795
Nylon [Member]
Segment Reporting Reconciling Item For Operating Profit Loss From Segment To Consolidated [Line Items]
Gross profit	665	1,178
Brazil [Member]
Segment Reporting Reconciling Item For Operating Profit Loss From Segment To Consolidated [Line Items]
Gross profit	4,613	4,159
Asia [Member]
Segment Reporting Reconciling Item For Operating Profit Loss From Segment To Consolidated [Line Items]
Gross profit	4,578	4,282
Other Segments [Member]
Segment Reporting Reconciling Item For Operating Profit Loss From Segment To Consolidated [Line Items]
Gross profit	$ 73	$ 29