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Intangible Assets, Net - Additional Information (Details) - USD ($)
$ in Thousands
12 Months Ended
Jun. 28, 2020
Jun. 24, 2018
Jun. 29, 2014
Jun. 24, 2007
Jun. 30, 2019
Finite Lived Intangible Assets [Line Items]          
Intangible assets, gross $ 3,945       $ 25,906
Customer Lists [Member]          
Finite Lived Intangible Assets [Line Items]          
Intangible assets, gross 1,615       23,615
Trademarks [Member]          
Finite Lived Intangible Assets [Line Items]          
Intangible assets, gross $ 455       416
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       $ 1,875
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