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Reportable Segments, Geographic Information and Major Customers - Concentration of Risk (Details)
12 Months Ended
Oct. 01, 2022
Oct. 02, 2021
Oct. 03, 2020
Customer Concentration Risk | Consolidated Net Sales | General Electric Company ("GE")      
Segment Reporting Information [Line Items]      
Percentage of concentration risk 12.90% 11.20% 11.70%