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Description of Business and Significant Accounting Policies - Narrative (Details)
$ in Thousands
12 Months Ended
Oct. 02, 2021
USD ($)
numberOfEmployees
Oct. 03, 2020
USD ($)
Sep. 28, 2019
USD ($)
Sep. 29, 2019
USD ($)
Sep. 30, 2018
USD ($)
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]          
Retained earnings $ 1,433,991 $ 1,295,079      
Entity Number of Employees | numberOfEmployees 19,200,000        
Exchange gains (losses) on foreign currency transactions $ (1,100) (400) $ 500    
Forward currency exchange contracts treated as cash flow hedges and recorded in accumulated other comprehensive loss (2,200) 1,800 $ 1,100    
Fair value of debt 217,100 299,300      
Carrying value of debt $ 205,000 $ 288,000      
ASU 2016-02          
Revenue, Initial Application Period Cumulative Effect Transition [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%    
Adjustments due to the adoption of ASU 2014-09 | ASU 2014-09          
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]          
Retained earnings         $ 7,800