Revenue from Contracts with Customers - Schedule of Disaggregation of Revenue (Details) - USD ($) $ in Thousands	3 Months Ended		6 Months Ended
	Apr. 01, 2023	Apr. 02, 2022	Apr. 01, 2023	Apr. 02, 2022
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	$ 1,096,870	$ 918,792	$ 2,217,809	$ 1,760,673
Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	1,070,823	888,723	2,164,748	1,706,179
Elimination of inter-segment sales
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	26,047	30,069	53,061	54,494
Industrial | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	439,281	414,654	911,363	778,481
Healthcare/Life Sciences | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	487,370	353,248	975,237	697,713
Aerospace/Defense | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	144,172	120,821	278,148	229,985
AMER
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	407,806	311,205	797,468	588,551
AMER | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	403,662	309,335	790,092	584,292
AMER | Elimination of inter-segment sales
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	4,144	1,870	7,376	4,259
AMER | Industrial | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	98,686	98,267	201,713	181,512
AMER | Healthcare/Life Sciences | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	228,245	143,855	443,626	279,817
AMER | Aerospace/Defense | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	76,731	67,213	144,753	122,963
APAC
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	587,270	533,885	1,229,174	1,025,557
APAC | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	566,727	506,348	1,186,255	976,603
APAC | Elimination of inter-segment sales
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	20,543	27,537	42,919	48,954
APAC | Industrial | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	312,840	302,326	663,424	567,601
APAC | Healthcare/Life Sciences | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	206,442	165,099	429,732	334,336
APAC | Aerospace/Defense | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	47,445	38,923	93,099	74,666
EMEA
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	101,794	73,702	191,167	146,565
EMEA | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	100,434	73,040	188,401	145,284
EMEA | Elimination of inter-segment sales
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	1,360	662	2,766	1,281
EMEA | Industrial | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	27,755	14,061	46,226	29,368
EMEA | Healthcare/Life Sciences | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	52,683	44,294	101,879	83,560
EMEA | Aerospace/Defense | Operating Segments
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer	$ 19,996	$ 14,685	$ 40,296	$ 32,356