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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. 30, 2018
Sep. 24, 2017
Segment Reporting Information [Line Items]    
Net sales $ 181,611 $ 164,242
Cost of sales 161,592 140,950
Gross profit 20,019 23,292
Segment depreciation expense 5,247 4,885
Segment Profit 25,266 28,177
Polyester [Member]    
Segment Reporting Information [Line Items]    
Net sales 100,131 87,738
Cost of sales 93,403 78,825
Gross profit 6,728 8,913
Segment depreciation expense 4,252 3,867
Segment Profit 10,980 12,780
Nylon [Member]    
Segment Reporting Information [Line Items]    
Net sales 27,949 26,827
Cost of sales 25,805 23,513
Gross profit 2,144 3,314
Segment depreciation expense 561 537
Segment Profit 2,705 3,851
International [Member]    
Segment Reporting Information [Line Items]    
Net sales 52,353 48,659
Cost of sales 41,330 37,661
Gross profit 11,023 10,998
Segment depreciation expense 359 416
Segment Profit 11,382 11,414
Other Segments [Member]    
Segment Reporting Information [Line Items]    
Net sales 1,178 1,018
Cost of sales 1,054 951
Gross profit 124 67
Segment depreciation expense 75 65
Segment Profit $ 199 $ 132