EQUITY - Schedule of Accumulated Other Comprehensive Loss (Details) - USD ($) $ in Thousands	12 Months Ended
	Oct. 03, 2025	Sep. 27, 2024	Sep. 29, 2023
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance	$ 903,051	$ 877,360	$ 2,335,812
Other comprehensive income (loss)	(6,866)
Amounts reclassified from accumulated other comprehensive income	9,450
Other Comprehensive Income (Loss), net of tax	2,584	2,262	507
Ending balance	865,644	903,051	877,360
Total Accumulated Other Comprehensive Loss
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance	(28,911)	(31,173)	(31,680)
Other Comprehensive Income (Loss), net of tax	2,584	2,262	507
Ending balance	(26,327)	(28,911)	(31,173)
Foreign Currency Translation
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance	(23,812)	(26,104)	(27,266)
Other comprehensive income (loss)	(6,416)
Amounts reclassified from accumulated other comprehensive income	9,450
Other Comprehensive Income (Loss), net of tax	3,034	2,292	1,162
Ending balance	(20,778)	(23,812)	(26,104)
Pension-related
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance	(5,099)	(5,069)	(4,414)
Other comprehensive income (loss)	(450)
Amounts reclassified from accumulated other comprehensive income	0
Other Comprehensive Income (Loss), net of tax	(450)	(30)	(655)
Ending balance	$ (5,549)	$ (5,099)	$ (5,069)