Revenue from Contracts with Customers - Schedule of Disaggregation of Revenue (Details) - USD ($) $ in Thousands	3 Months Ended		6 Months Ended
	Apr. 02, 2022	Apr. 03, 2021	Apr. 02, 2022	Apr. 03, 2021
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	$ 918,792	$ 906,891	$ 1,760,673	$ 1,764,483
Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	888,723	880,885	1,706,179	1,711,240
Elimination of inter-segment sales
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	30,069	26,006	54,494	53,243
Industrial | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	414,654	406,918	778,481	784,960
Healthcare/Life Sciences | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	353,248	349,767	697,713	669,080
Aerospace/Defense | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	120,821	124,200	229,985	257,200
AMER
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	311,205	364,697	588,551	692,264
AMER | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	309,335	361,556	584,292	687,001
AMER | Elimination of inter-segment sales
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	1,870	3,141	4,259	5,263
AMER | Industrial | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	98,267	131,341	181,512	253,367
AMER | Healthcare/Life Sciences | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	143,855	155,027	279,817	281,466
AMER | Aerospace/Defense | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	67,213	75,188	122,963	152,168
APAC
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	533,885	458,872	1,025,557	910,174
APAC | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	506,348	436,720	976,603	863,273
APAC | Elimination of inter-segment sales
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	27,537	22,152	48,954	46,901
APAC | Industrial | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	302,326	255,537	567,601	493,785
APAC | Healthcare/Life Sciences | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	165,099	149,863	334,336	303,909
APAC | Aerospace/Defense | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	38,923	31,320	74,666	65,579
EMEA
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	73,702	83,322	146,565	162,045
EMEA | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	73,040	82,609	145,284	160,966
EMEA | Elimination of inter-segment sales
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	662	713	1,281	1,079
EMEA | Industrial | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	14,061	20,040	29,368	37,808
EMEA | Healthcare/Life Sciences | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	44,294	44,877	83,560	83,705
EMEA | Aerospace/Defense | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	$ 14,685	$ 17,692	$ 32,356	$ 39,453