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Description of Business and Significant Accounting Policies - Narrative (Details)
$ in Thousands
12 Months Ended
Oct. 01, 2022
USD ($)
numberOfEmployees
Oct. 02, 2021
USD ($)
Oct. 03, 2020
USD ($)
Sep. 29, 2019
USD ($)
Disaggregation of Revenue [Line Items]        
Retained earnings $ 1,572,234 $ 1,433,991    
Entity Number of Employees | numberOfEmployees 25,000      
Exchange gains (losses) on foreign currency transactions $ (700) (1,100) $ (400)  
Forward currency exchange contracts treated as cash flow hedges and recorded in accumulated other comprehensive loss (5,000) (2,200) $ 1,800  
Fair value of debt 401,600 217,100    
Carrying value of debt $ 413,000 $ 205,000    
ASU 2016-02        
Disaggregation of Revenue [Line Items]        
Retained earnings       $ (1,100)
Engineering Design and Development Services        
Disaggregation of Revenue [Line Items]        
Percentage of consolidated net sales (less than) 5.00% 5.00% 5.00%