Accumulated Other Comprehensive Loss - Schedule of Changes in Accumulated Other Comprehensive Loss, Net of Tax (Details) - USD ($) $ in Thousands	12 Months Ended
	Jul. 03, 2022	Jun. 27, 2021	Jun. 28, 2020
Accumulated Other Comprehensive Income Loss [Line Items]
Beginning balance	$ (53,432)	$ (63,806)	$ (43,229)
Other comprehensive (loss) income, net of tax	(6,173)	10,374	(20,577)
Ending balance	(59,605)	(53,432)	(63,806)
Foreign Currency Translation Adjustments [Member]
Accumulated Other Comprehensive Income Loss [Line Items]
Beginning balance	(52,480)	(61,848)	(42,729)
Other comprehensive (loss) income, net of tax	(7,125)	9,368	(19,119)
Ending balance	(59,605)	(52,480)	(61,848)
Changes in Interest Rate Swaps [Member]
Accumulated Other Comprehensive Income Loss [Line Items]
Beginning balance	(952)	(1,958)	(500)
Other comprehensive (loss) income, net of tax	$ 952	1,006	(1,458)
Ending balance		$ (952)	$ (1,958)