Business Segment Information - Selected Financial Information for Polyester, Nylon, International and Other Segments (Details) - USD ($) $ in Thousands	3 Months Ended
	Oct. 01, 2023	Oct. 02, 2022
Segment Reporting Information [Line Items]
Net sales	$ 138,844	$ 179,519
Cost of sales	139,419	172,956
Gross (loss) profit	(575)	6,563
Segment depreciation expense	6,337	5,950
Segment (Loss) Profit	5,762	12,513
Americas [Member]
Segment Reporting Information [Line Items]
Net sales	81,573	107,644
Cost of sales	88,953	112,513
Gross (loss) profit	(7,380)	(4,869)
Segment depreciation expense	5,497	5,480
Segment (Loss) Profit	(1,883)	611
Brazil [Member]
Segment Reporting Information [Line Items]
Net sales	29,909	38,879
Cost of sales	27,742	32,092
Gross (loss) profit	2,167	6,787
Segment depreciation expense	840	470
Segment (Loss) Profit	3,007	7,257
Asia [Member]
Segment Reporting Information [Line Items]
Net sales	27,362	32,996
Cost of sales	22,724	28,351
Gross (loss) profit	4,638	4,645
Segment depreciation expense
Segment (Loss) Profit	$ 4,638	$ 4,645