Long Term Debt and Other Borrowings - Schedule of Recognized Interest Cost (Details) - USD ($) $ in Thousands	12 Months Ended
	Jun. 30, 2024	Jun. 25, 2023	Jun. 26, 2022
Debt Disclosure [Abstract]
Contractual interest coupon	$ 175,128	$ 175,128	$ 175,128
Amortization of interest discount	3,274	2,862	2,767
Amortization of issuance costs	1,488	1,376	1,351
Effect of interest rate contracts, net	3,145	2,545	2,455
Total interest cost recognized	$ 183,035	$ 181,911	$ 181,701