Business Segment Information - Selected Financial Information for Polyester, Nylon, International and Other Segments (Details) - USD ($) $ in Thousands	3 Months Ended
	Oct. 02, 2022	Sep. 26, 2021
Segment Reporting Information [Line Items]
Net sales	$ 179,519	$ 195,992
Cost of sales	172,956	169,895
Gross profit	6,563	26,097
Segment depreciation expense	5,950	5,458
Segment Profit	12,513	31,555
Americas [Member]
Segment Reporting Information [Line Items]
Net sales	107,644	110,826
Cost of sales	112,513	101,640
Gross profit	(4,869)	9,186
Segment depreciation expense	5,480	5,075
Segment Profit	611	14,261
Brazil [Member]
Segment Reporting Information [Line Items]
Net sales	38,879	33,738
Cost of sales	32,092	23,798
Gross profit	6,787	9,940
Segment depreciation expense	470	383
Segment Profit	7,257	10,323
Asia [Member]
Segment Reporting Information [Line Items]
Net sales	32,996	51,428
Cost of sales	28,351	44,457
Gross profit	4,645	6,971
Segment Profit	$ 4,645	$ 6,971