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Other Current Liabilities - Schedule of Other Current Liabilities (Details) - USD ($) $ in Thousands | Sep. 26, 2021 | Jun. 27, 2021
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Other Liabilities Current [Abstract] |  |
Payroll and fringe benefits | $ 8,706 | $ 10,204
Deferred revenue | 2,654 | 2,691
Incentive compensation | 2,377 | 12,356
Current portion of supplemental post-employment plan | 1,097 | 1,087
Interest rate swaps | 901 | 1,234
Other | 3,584 | 4,066
Other current liabilities | $ 19,319 | $ 31,638

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