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Restatement of Consolidated Financial Statements - Previously reported revenue disaggregated by segment, geography and market sector (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended 9 Months Ended 12 Months Ended
Oct. 01, 2022
Jul. 02, 2022
Apr. 02, 2022
Jan. 01, 2022
Oct. 02, 2021
Jul. 03, 2021
Apr. 03, 2021
Jan. 02, 2021
Apr. 02, 2022
Apr. 03, 2021
Jul. 02, 2022
Jul. 03, 2021
Oct. 01, 2022
Oct. 02, 2021
Oct. 03, 2020
Error Corrections and Prior Period Adjustments Restatement [Line Items]                              
Net sales $ 2,224,865 $ 2,023,361 $ 1,915,070 $ 1,756,326 $ 1,650,609 $ 1,653,266 $ 1,678,497 $ 1,755,984 $ 3,671,396   $ 5,694,757   $ 7,919,622 $ 6,738,356 $ 6,950,208
Gross profit $ 172,229 162,185 146,495 141,297 $ 130,039 135,066 120,985 140,351 287,792   449,977   622,206 526,441 517,164
Operating segments                              
Error Corrections and Prior Period Adjustments Restatement [Line Items]                              
Gross profit                         638,115 543,223 529,939
Segment reconciling items                              
Error Corrections and Prior Period Adjustments Restatement [Line Items]                              
Gross profit                         (15,909) (16,782) (12,775)
Intersegment eliminations                              
Error Corrections and Prior Period Adjustments Restatement [Line Items]                              
Net sales                         (149,167) (126,711) (138,522)
Previously Reported                              
Error Corrections and Prior Period Adjustments Restatement [Line Items]                              
Net sales   2,019,059 1,911,530 1,757,325   1,657,741 1,699,677 1,755,249 3,668,855 $ 3,454,926 5,687,914 $ 5,112,667 7,890,475 6,756,643 6,960,370
Gross profit   165,189 152,447 144,489   136,590 143,098 141,235 296,936 284,333 462,125 420,923 640,514 551,805 525,707
Investigative Adjustments                              
Error Corrections and Prior Period Adjustments Restatement [Line Items]                              
Net sales   4,302 3,540 (999)   (4,475) (21,180) 735 2,541 (20,445) 6,843 (24,920) 23,265 (18,287) (10,162)
Gross profit   $ (3,004) $ (5,952) $ (3,192)   $ (1,524) $ (22,113) $ (884) $ (9,144) $ (22,997) $ (12,148) $ (24,521) (18,308) (25,364) (8,543)
Other Adjustments                              
Error Corrections and Prior Period Adjustments Restatement [Line Items]                              
Net sales                         5,882    
IMS | Operating segments                              
Error Corrections and Prior Period Adjustments Restatement [Line Items]                              
Net sales                         6,413,606 5,485,612 5,719,180
Gross profit                         462,606 391,339 381,638
Other Segments | Operating segments                              
Error Corrections and Prior Period Adjustments Restatement [Line Items]                              
Net sales                         1,655,183 1,379,455 1,369,550
Gross profit                         $ 175,509 $ 151,884 $ 148,301