Pension and Postretirement Benefits - Summary of Net Periodic Benefit Cost Recognized (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Mar. 31, 2024	Apr. 02, 2023	Mar. 31, 2024	Apr. 02, 2023
SERP Benefits
COMPONENTS OF NET PERIODIC BENEFIT COST:
Service cost	$ 21	$ 21	$ 63	$ 60
Interest cost	22	24	67	71
Plan Settlements		217		217
Amortization of unrecognized net loss	12	25	35	87
Net periodic benefit cost	55	287	165	435
Postretirement Benefits
COMPONENTS OF NET PERIODIC BENEFIT COST:
Service cost	2	3	7	8
Interest cost	16	16	47	47
Amortization of unrecognized net loss	49	61	147	182
Net periodic benefit cost	$ 67	$ 80	$ 201	$ 237