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Property, Plant and Equipment, Net - Property, Plant and Equipment Components (Details) - USD ($) $ in Thousands | Mar. 27, 2022 | Jun. 27, 2021
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Property Plant And Equipment [Line Items] |  |
Gross PP&E | $ 887,667 | $ 864,235
Less: accumulated depreciation | (665,100) | (656,576)
Less: accumulated amortization – finance leases | (7,489) | (5,963)
Total PP&E, net | 215,078 | 201,696
Land [Member] |  |
Property Plant And Equipment [Line Items] |  |
Gross PP&E | 3,200 | 3,184
Land Improvements [Member] |  |
Property Plant And Equipment [Line Items] |  |
Gross PP&E | 16,443 | 16,372
Buildings and Improvements [Member] |  |
Property Plant And Equipment [Line Items] |  |
Gross PP&E | 161,557 | 160,122
Assets under Finance Leases [Member] |  |
Property Plant And Equipment [Line Items] |  |
Gross PP&E | 22,882 | 22,000
Machinery and Equipment [Member] |  |
Property Plant And Equipment [Line Items] |  |
Gross PP&E | 622,758 | 609,414
Computers, Software and Office Equipment [Member] |  |
Property Plant And Equipment [Line Items] |  |
Gross PP&E | 25,717 | 24,848
Transportation Equipment [Member] |  |
Property Plant And Equipment [Line Items] |  |
Gross PP&E | 10,542 | 10,461
Construction in Progress [Member] |  |
Property Plant And Equipment [Line Items] |  |
Gross PP&E | $ 24,568 | $ 17,834

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