Supplemental Cash Flow Information - Additional Information (Details) - USD ($) $ in Thousands	9 Months Ended		12 Months Ended
	Apr. 02, 2023	Mar. 27, 2022	Jul. 03, 2022	Jun. 27, 2021
Collaborative Arrangement and Arrangement Other than Collaborative [Line Items]
Income tax payment related to recovery of non-income taxes		$ 3,749
Capital expenditures incurred but not yet paid	$ 1,332	1,981	$ 2,456	$ 2,080
Non cash activity relating to finance leases	3,179	$ 1,764
Term Loan [Member]
Collaborative Arrangement and Arrangement Other than Collaborative [Line Items]
Line of credit facility, increase (decrease)	52,500
Credit Agreement [Member]
Collaborative Arrangement and Arrangement Other than Collaborative [Line Items]
Line of credit facility, revolving credit conversion to term loan	52,500
Credit Agreement [Member] | Revolving Credit Facility [Member]
Collaborative Arrangement and Arrangement Other than Collaborative [Line Items]
Line of credit facility, increase (decrease)	$ 52,500