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Revenue from Contracts with Customers - Schedule of Disaggregation of Revenue (Details) - USD ($)
$ in Thousands
 3 Months Ended 9 Months Ended
Jul. 01, 2023
Jul. 02, 2022
Jul. 01, 2023
Jul. 02, 2022
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer $ 1,047,893 $ 1,013,054 $ 3,265,702 $ 2,773,727
Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 1,021,610 981,341 3,186,358 2,687,520
Elimination of inter-segment sales        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 26,283 31,713 79,344 86,207
Industrial | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 427,713 454,377 1,339,076 1,232,858
Healthcare/Life Sciences | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 451,000 400,799 1,426,237 1,098,512
Aerospace/Defense | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 142,897 126,165 421,045 356,150
AMER        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 371,358 342,572 1,168,826 931,123
AMER | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 366,432 339,733 1,156,524 924,025
AMER | Elimination of inter-segment sales        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 4,926 2,839 12,302 7,098
AMER | Industrial | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 97,527 108,064 299,240 289,576
AMER | Healthcare/Life Sciences | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 205,496 171,697 649,122 451,514
AMER | Aerospace/Defense | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 63,409 59,972 208,162 182,935
APAC        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 572,150 586,305 1,801,324 1,611,862
APAC | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 551,783 558,496 1,738,038 1,535,099
APAC | Elimination of inter-segment sales        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 20,367 27,809 63,286 76,763
APAC | Industrial | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 300,258 328,314 963,682 895,915
APAC | Healthcare/Life Sciences | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 193,740 184,202 623,472 518,538
APAC | Aerospace/Defense | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 57,785 45,980 150,884 120,646
EMEA        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 104,385 84,177 295,552 230,742
EMEA | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 103,395 83,112 291,796 228,396
EMEA | Elimination of inter-segment sales        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 990 1,065 3,756 2,346
EMEA | Industrial | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 29,928 17,999 76,154 47,367
EMEA | Healthcare/Life Sciences | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 51,764 44,900 153,643 128,460
EMEA | Aerospace/Defense | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer $ 21,703 $ 20,213 $ 61,999 $ 52,569