Revenue from Contracts with Customers - Schedule of Disaggregation of Revenue (Details) - USD ($) $ in Thousands	12 Months Ended
	Sep. 30, 2023	Oct. 01, 2022	Oct. 02, 2021
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	$ 4,319,660	$ 3,927,642	$ 3,480,676
Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	4,210,305	3,811,368	3,368,865
Elimination of inter-segment sales
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	109,355	116,274	111,811
Healthcare/Life Sciences | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	1,874,774	1,565,771	1,326,772
Industrial | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	1,756,525	1,752,718	1,548,975
Aerospace/Defense | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	579,006	492,879	493,118
AMER
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	1,558,230	1,310,687	1,317,404
AMER | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	1,542,519	1,300,403	1,307,352
AMER | Elimination of inter-segment sales
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	15,711	10,284	10,052
AMER | Healthcare/Life Sciences | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	862,767	645,881	566,693
AMER | Industrial | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	398,120	398,743	462,789
AMER | Aerospace/Defense | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	281,632	255,779	277,870
APAC
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	2,358,390	2,300,640	1,850,603
APAC | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	2,269,517	2,198,225	1,750,924
APAC | Elimination of inter-segment sales
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	88,873	102,415	99,679
APAC | Healthcare/Life Sciences | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	809,165	744,216	605,249
APAC | Industrial | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	1,248,016	1,288,577	1,010,833
APAC | Aerospace/Defense | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	212,336	165,432	134,842
EMEA
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	403,040	316,315	312,669
EMEA | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	398,269	312,740	310,589
EMEA | Elimination of inter-segment sales
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	4,771	3,575	2,080
EMEA | Healthcare/Life Sciences | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	202,842	175,674	154,830
EMEA | Industrial | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	110,389	65,398	75,353
EMEA | Aerospace/Defense | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	$ 85,038	$ 71,668	$ 80,406