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Revenue from Contracts with Customers - Schedule of Disaggregation of Revenue (Details) - USD ($)
$ in Thousands
12 Months Ended
Oct. 02, 2021
Oct. 03, 2020
Sep. 28, 2019
Disaggregation of Revenue [Line Items]      
Revenue from Contract with Customer $ 3,480,676 $ 3,501,782 $ 3,296,446
Operating Segments      
Disaggregation of Revenue [Line Items]      
Revenue from Contract with Customer 3,368,865 3,390,394 3,164,434
Elimination of inter-segment sales      
Disaggregation of Revenue [Line Items]      
Revenue from Contract with Customer 111,811 111,388 132,012
Industrial | Operating Segments      
Disaggregation of Revenue [Line Items]      
Revenue from Contract with Customer 1,548,975 1,520,441 1,355,836
Healthcare/Life Sciences | Operating Segments      
Disaggregation of Revenue [Line Items]      
Revenue from Contract with Customer 1,326,772 1,258,385 1,219,998
Aerospace/Defense | Operating Segments      
Disaggregation of Revenue [Line Items]      
Revenue from Contract with Customer 493,118 611,568 588,600
AMER      
Disaggregation of Revenue [Line Items]      
Revenue from Contract with Customer 1,317,404 1,327,849 1,429,308
AMER | Operating Segments      
Disaggregation of Revenue [Line Items]      
Revenue from Contract with Customer 1,307,352 1,317,120 1,422,313
AMER | Elimination of inter-segment sales      
Disaggregation of Revenue [Line Items]      
Revenue from Contract with Customer 10,052 10,729 6,995
AMER | Industrial | Operating Segments      
Disaggregation of Revenue [Line Items]      
Revenue from Contract with Customer 462,789 481,301 615,904
AMER | Healthcare/Life Sciences | Operating Segments      
Disaggregation of Revenue [Line Items]      
Revenue from Contract with Customer 566,693 464,134 488,851
AMER | Aerospace/Defense | Operating Segments      
Disaggregation of Revenue [Line Items]      
Revenue from Contract with Customer 277,870 371,685 317,558
APAC      
Disaggregation of Revenue [Line Items]      
Revenue from Contract with Customer 1,850,603 1,824,831 1,557,205
APAC | Operating Segments      
Disaggregation of Revenue [Line Items]      
Revenue from Contract with Customer 1,750,924 1,730,476 1,437,708
APAC | Elimination of inter-segment sales      
Disaggregation of Revenue [Line Items]      
Revenue from Contract with Customer 99,679 94,355 119,497
APAC | Industrial | Operating Segments      
Disaggregation of Revenue [Line Items]      
Revenue from Contract with Customer 1,010,833 954,925 648,300
APAC | Healthcare/Life Sciences | Operating Segments      
Disaggregation of Revenue [Line Items]      
Revenue from Contract with Customer 605,249 618,250 602,922
APAC | Aerospace/Defense | Operating Segments      
Disaggregation of Revenue [Line Items]      
Revenue from Contract with Customer 134,842 157,301 186,486
EMEA      
Disaggregation of Revenue [Line Items]      
Revenue from Contract with Customer 312,669 349,102 309,933
EMEA | Operating Segments      
Disaggregation of Revenue [Line Items]      
Revenue from Contract with Customer 310,589 342,798 304,413
EMEA | Elimination of inter-segment sales      
Disaggregation of Revenue [Line Items]      
Revenue from Contract with Customer 2,080 6,304 5,520
EMEA | Industrial | Operating Segments      
Disaggregation of Revenue [Line Items]      
Revenue from Contract with Customer 75,353 84,215 91,632
EMEA | Healthcare/Life Sciences | Operating Segments      
Disaggregation of Revenue [Line Items]      
Revenue from Contract with Customer 154,830 176,001 128,225
EMEA | Aerospace/Defense | Operating Segments      
Disaggregation of Revenue [Line Items]      
Revenue from Contract with Customer $ 80,406 $ 82,582 $ 84,556