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Other Current Liabilities - Schedule of Other Current Liabilities (Details) - USD ($) $ in Thousands | Mar. 27, 2022 | Jun. 27, 2021
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Other Liabilities Current [Abstract] |  |
Payroll and fringe benefits | $ 8,830 | $ 10,204
Incentive compensation | 3,283 | 12,356
Deferred revenue | 2,810 | 2,691
Interest rate swaps | 168 | 1,234
Current portion of supplemental post-employment plan | 20 | 1,087
Other | 3,695 | 4,066
Other current liabilities | $ 18,806 | $ 31,638

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