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Business Segment Information - Selected Financial Information for Polyester, Nylon, International and Other Segments (Details) - USD ($)
$ in Thousands
 3 Months Ended
Sep. 27, 2020
Sep. 29, 2019
Segment Reporting Information [Line Items]    
Net sales $ 141,505 $ 179,949
Cost of sales 126,944 162,506
Gross profit 14,561 17,443
Segment depreciation expense 5,439 4,946
Segment Profit 20,000 22,389
Polyester [Member]    
Segment Reporting Information [Line Items]    
Net sales 69,076 88,695
Cost of sales 64,444 80,900
Gross profit 4,632 7,795
Segment depreciation expense 4,403 4,041
Segment Profit 9,035 11,836
Asia [Member]    
Segment Reporting Information [Line Items]    
Net sales 37,723 45,957
Cost of sales 33,145 41,675
Gross profit 4,578 4,282
Segment Profit 4,578 4,282
Brazil [Member]    
Segment Reporting Information [Line Items]    
Net sales 22,606 24,172
Cost of sales 17,993 20,013
Gross profit 4,613 4,159
Segment depreciation expense 430 375
Segment Profit 5,043 4,534
Nylon [Member]    
Segment Reporting Information [Line Items]    
Net sales 11,029 20,202
Cost of sales 10,364 19,024
Gross profit 665 1,178
Segment depreciation expense 442 491
Segment Profit 1,107 1,669
Other Segments [Member]    
Segment Reporting Information [Line Items]    
Net sales 1,071 923
Cost of sales 998 894
Gross profit 73 29
Segment depreciation expense 164 39
Segment Profit $ 237 $ 68