NATURE OF BUSINESS, BASIS OF PRESENTATION AND SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES - Schedule of Accumulated Other Comprehensive Loss (Details) - USD ($) $ in Thousands	Oct. 03, 2025	Sep. 27, 2024
Organization, Consolidation and Presentation of Financial Statements [Abstract]
Pension plan adjustments	$ (5,549)	$ (5,099)
Foreign currency translation adjustments	(20,778)	(23,812)
Total	$ (26,327)	$ (28,911)