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Revenue from Contracts with Customers - Schedule of Disaggregation of Revenue (Details) - USD ($)
$ in Thousands
 3 Months Ended 9 Months Ended
Jun. 29, 2024
Jul. 01, 2023
Jun. 29, 2024
Jul. 01, 2023
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer $ 990,967 $ 1,047,893 $ 2,996,622 $ 3,265,702
Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 960,751 1,021,610 2,910,258 3,186,358
Elimination of inter-segment sales        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 30,216 26,283 86,364 79,344
Healthcare/Life Sciences | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 380,009 451,000 1,139,353 1,426,237
Industrial | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 403,113 427,713 1,255,956 1,339,076
Aerospace/Defense | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 177,629 142,897 514,949 421,045
AMER        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 332,491 371,358 987,970 1,168,826
AMER | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 327,856 366,432 978,585 1,156,524
AMER | Elimination of inter-segment sales        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 4,635 4,926 9,385 12,302
AMER | Healthcare/Life Sciences | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 168,686 205,496 497,109 649,122
AMER | Industrial | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 73,015 97,527 227,923 299,240
AMER | Aerospace/Defense | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 86,155 63,409 253,553 208,162
APAC        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 521,645 572,150 1,595,121 1,801,324
APAC | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 497,031 551,783 1,522,068 1,738,038
APAC | Elimination of inter-segment sales        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 24,614 20,367 73,053 63,286
APAC | Healthcare/Life Sciences | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 155,906 193,740 477,643 623,472
APAC | Industrial | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 270,101 300,258 850,353 963,682
APAC | Aerospace/Defense | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 71,024 57,785 194,072 150,884
EMEA        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 136,831 104,385 413,531 295,552
EMEA | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 135,864 103,395 409,605 291,796
EMEA | Elimination of inter-segment sales        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 967 990 3,926 3,756
EMEA | Healthcare/Life Sciences | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 55,417 51,764 164,601 153,643
EMEA | Industrial | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer 59,997 29,928 177,680 76,154
EMEA | Aerospace/Defense | Operating Segments        
Disaggregation of Revenue [Line Items]        
Revenue from Contract with Customer $ 20,450 $ 21,703 $ 67,324 $ 61,999