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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. 02, 2022
Jul. 03, 2021
Jul. 02, 2022
Jul. 03, 2021
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer $ 1,013,054 $ 842,332 $ 2,773,727 $ 2,606,815
Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 981,341 814,387 2,687,520 2,525,627
Elimination of inter-segment sales        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 31,713 27,945 86,207 81,188
Industrial | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 454,377 371,919 1,232,858 1,156,879
Healthcare/Life Sciences | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 400,799 324,436 1,098,512 993,516
Aerospace/Defense | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 126,165 118,032 356,150 375,232
AMER        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 342,572 318,898 931,123 1,011,162
AMER | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 339,733 316,743 924,025 1,003,744
AMER | Elimination of inter-segment sales        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 2,839 2,155 7,098 7,418
AMER | Industrial | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 108,064 109,672 289,576 363,039
AMER | Healthcare/Life Sciences | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 171,697 143,033 451,514 424,499
AMER | Aerospace/Defense | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 59,972 64,038 182,935 216,206
APAC        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 586,305 446,915 1,611,862 1,357,089
APAC | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 558,496 421,609 1,535,099 1,284,882
APAC | Elimination of inter-segment sales        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 27,809 25,306 76,763 72,207
APAC | Industrial | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 328,314 243,121 895,915 736,906
APAC | Healthcare/Life Sciences | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 184,202 144,874 518,538 448,783
APAC | Aerospace/Defense | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 45,980 33,614 120,646 99,193
EMEA        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 84,177 76,519 230,742 238,564
EMEA | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 83,112 76,035 228,396 237,001
EMEA | Elimination of inter-segment sales        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 1,065 484 2,346 1,563
EMEA | Industrial | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 17,999 19,126 47,367 56,934
EMEA | Healthcare/Life Sciences | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 44,900 36,529 128,460 120,234
EMEA | Aerospace/Defense | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer $ 20,213 $ 20,380 $ 52,569 $ 59,833