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Description of Business and Significant Accounting Policies - Narrative (Details)
$ in Thousands
12 Months Ended
Sep. 30, 2023
USD ($)
numberOfEmployees
Oct. 01, 2022
USD ($)
Oct. 02, 2021
USD ($)
Disaggregation of Revenue [Line Items]      
Entity Number of Employees | numberOfEmployees 25,000    
Cash Equivalents, at Carrying Value $ 33,500 $ 88,700  
Exchange gains (losses) on foreign currency transactions (1,800) (700) $ (1,100)
Forward currency exchange contracts treated as cash flow hedges and recorded in accumulated other comprehensive loss 1,100 (5,000) $ (2,200)
Fair value of debt 374,300 401,600  
Carrying value of debt $ 383,000 $ 413,000  
Engineering Design and Development Services      
Disaggregation of Revenue [Line Items]      
Percentage of consolidated net sales (less than) 5.00% 5.00% 5.00%