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Acquisitions - Supplemental Pro Forma Information (Details) - RPS Group PLC - USD ($)
$ in Thousands
12 Months Ended
Oct. 01, 2023
Oct. 02, 2022
Business Acquisition, Pro Forma Information, Nonrecurring Adjustment [Line Items]    
Revenue $ 4,780,404 $ 4,271,580
Net income including noncontrolling interests $ 223,857 $ 152,964