Accumulated Other Comprehensive Loss - Schedule of Changes in Accumulated Other Comprehensive Loss, Net of Tax (Details) - USD ($) $ in Thousands	12 Months Ended
	Jul. 02, 2023	Jul. 03, 2022	Jun. 27, 2021
Accumulated Other Comprehensive Income Loss [Line Items]
Beginning balance	$ (59,605)	$ (53,432)	$ (63,806)
Other comprehensive (loss) income, net of tax	5,714	(6,173)	10,374
Ending balance	(53,891)	(59,605)	(53,432)
Foreign Currency Translation Adjustments [Member]
Accumulated Other Comprehensive Income Loss [Line Items]
Beginning balance	(59,605)	(52,480)	(61,848)
Other comprehensive (loss) income, net of tax	5,714	(7,125)	9,368
Ending balance	$ (53,891)	(59,605)	(52,480)
Changes in Interest Rate Swaps [Member]
Accumulated Other Comprehensive Income Loss [Line Items]
Beginning balance		(952)	(1,958)
Other comprehensive (loss) income, net of tax		$ 952	1,006
Ending balance			$ (952)