Revenue from Contracts with Customers - Schedule of Disaggregation of Revenue (Details) - USD ($) $ in Thousands	12 Months Ended
	Sep. 28, 2024	Sep. 30, 2023	Oct. 01, 2022
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	$ 4,078,149	$ 4,319,660	$ 3,927,642
Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	3,960,827	4,210,305	3,811,368
Elimination of inter-segment sales
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	117,322	109,355	116,274
Aerospace/Defense | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	698,434	579,006	492,879
Healthcare/Life Sciences | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	1,554,816	1,874,774	1,565,771
Industrial | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	1,707,577	1,756,525	1,752,718
AMER
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	1,323,428	1,558,230	1,310,687
AMER | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	1,307,081	1,542,519	1,300,403
AMER | Elimination of inter-segment sales
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	16,347	15,711	10,284
AMER | Aerospace/Defense | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	329,602	281,632	255,779
AMER | Healthcare/Life Sciences | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	674,202	862,767	645,881
AMER | Industrial | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	303,277	398,120	398,743
APAC
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	2,213,111	2,358,390	2,300,640
APAC | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	2,117,036	2,269,517	2,198,225
APAC | Elimination of inter-segment sales
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	96,075	88,873	102,415
APAC | Aerospace/Defense | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	271,906	212,336	165,432
APAC | Healthcare/Life Sciences | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	655,284	809,165	744,216
APAC | Industrial | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	1,189,846	1,248,016	1,288,577
EMEA
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	541,610	403,040	316,315
EMEA | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	536,710	398,269	312,740
EMEA | Elimination of inter-segment sales
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	4,900	4,771	3,575
EMEA | Aerospace/Defense | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	96,926	85,038	71,668
EMEA | Healthcare/Life Sciences | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	225,330	202,842	175,674
EMEA | Industrial | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	$ 214,454	$ 110,389	$ 65,398