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Business Segment Information - Selected Financial Information for Polyester, Nylon, International and Other Segments (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
Mar. 26, 2017
Mar. 27, 2016
Mar. 26, 2017
Mar. 27, 2016
Segment Reporting Information [Line Items]        
Net sales $ 160,896 $ 161,278 $ 476,020 $ 479,779
Cost of sales 139,766 137,914 409,213 413,618
Gross profit 21,130 23,364 66,807 66,161
Segment depreciation expense 4,569 3,677 13,071 10,984
Segment Profit (Loss) 25,699 27,041 79,878 77,145
Polyester [Member]        
Segment Reporting Information [Line Items]        
Net sales 90,267 98,997 261,623 288,017
Cost of sales 81,730 85,730 234,165 252,840
Gross profit 8,537 13,267 27,458 35,177
Segment depreciation expense 3,636 2,733 10,128 8,365
Segment Profit (Loss) 12,173 16,000 37,586 43,542
Nylon [Member]        
Segment Reporting Information [Line Items]        
Net sales 26,987 29,533 83,784 101,938
Cost of sales 24,656 25,955 75,693 87,272
Gross profit 2,331 3,578 8,091 14,666
Segment depreciation expense 542 466 1,582 1,414
Segment Profit (Loss) 2,873 4,044 9,673 16,080
International [Member]        
Segment Reporting Information [Line Items]        
Net sales 42,345 31,092 126,557 85,275
Cost of sales 32,159 24,443 94,652 68,654
Gross profit 10,186 6,649 31,905 16,621
Segment depreciation expense 317 236 791 649
Segment Profit (Loss) 10,503 6,885 32,696 17,270
Other Segments [Member]        
Segment Reporting Information [Line Items]        
Net sales 1,297 1,656 4,056 4,549
Cost of sales 1,221 1,786 4,703 4,852
Gross profit 76 (130) (647) (303)
Segment depreciation expense 74 242 570 556
Segment Profit (Loss) $ 150 $ 112 $ (77) $ 253