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Intangible Assets, Net - Additional Information (Details) - USD ($)
$ in Thousands
12 Months Ended
Jun. 30, 2019
Jun. 24, 2018
Jun. 29, 2014
Jun. 24, 2007
Finite Lived Intangible Assets [Line Items]        
Intangible assets, gross $ 25,906 $ 25,725    
Customer Lists [Member]        
Finite Lived Intangible Assets [Line Items]        
Intangible assets, gross $ 23,615 23,615    
Trademarks [Member] | Maximum [Member]        
Finite Lived Intangible Assets [Line Items]        
Finite-lived intangible asset, useful life 3 years      
Non-compete Agreements [Member]        
Finite Lived Intangible Assets [Line Items]        
Intangible assets, gross $ 1,875 $ 1,925    
Non-compete Agreements [Member] | Polyester [Member]        
Finite Lived Intangible Assets [Line Items]        
Finite-lived intangible asset, useful life   5 years    
Intangible assets, gross   $ 1,875    
Dillon Texturing Operations [Member] | Customer Lists [Member]        
Finite Lived Intangible Assets [Line Items]        
Finite-lived intangible asset, useful life       13 years
Dillon Draw Winding [Member ] | Customer Lists [Member]        
Finite Lived Intangible Assets [Line Items]        
Finite-lived intangible asset, useful life     9 years