Revenue from Contracts with Customers - Schedule of Disaggregation of Revenue (Details) - USD ($) $ in Thousands	3 Months Ended
	Dec. 30, 2023	Dec. 31, 2022
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	$ 1,008,119	$ 1,120,939
Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	982,607	1,093,925
Elimination of inter-segment sales
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	25,512	27,014
Healthcare/Life Sciences | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	380,933	487,867
Industrial | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	434,659	472,082
Aerospace/Defense | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	167,015	133,976
AMER
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	333,697	389,662
AMER | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	332,229	386,430
AMER | Elimination of inter-segment sales
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	1,468	3,232
AMER | Healthcare/Life Sciences | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	165,607	215,381
AMER | Industrial | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	83,901	103,027
AMER | Aerospace/Defense | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	82,721	68,022
APAC
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	552,484	641,904
APAC | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	530,172	619,528
APAC | Elimination of inter-segment sales
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	22,312	22,376
APAC | Healthcare/Life Sciences | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	164,722	223,290
APAC | Industrial | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	304,758	350,584
APAC | Aerospace/Defense | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	60,692	45,654
EMEA
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	121,938	89,373
EMEA | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	120,206	87,967
EMEA | Elimination of inter-segment sales
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	1,732	1,406
EMEA | Healthcare/Life Sciences | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	50,604	49,196
EMEA | Industrial | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	46,000	18,471
EMEA | Aerospace/Defense | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	$ 23,602	$ 20,300