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Restructuring (Details) - USD ($)
$ in Thousands
12 Months Ended
Oct. 01, 2022
Oct. 02, 2021
Oct. 03, 2020
Restructuring      
Restructuring costs $ 11,425 $ 15,057 $ 26,783
Restructuring reserve, current 6,000 6,000  
Unallocated corporate items      
Restructuring      
Restructuring costs   1,000  
IMS      
Restructuring      
Restructuring costs 1,000 9,000  
CPS      
Restructuring      
Restructuring costs 10,000 5,000  
Costs incurred for other plans      
Restructuring      
Restructuring costs 9,606 3,818 8,793
Q1 FY20 Plan      
Restructuring      
Restructuring costs 1,819 11,239 17,990
Restructuring and related cost, cost incurred to date 31,000    
Q1 FY20 Plan | Severance costs      
Restructuring      
Restructuring costs 319 9,405 17,919
Q1 FY20 Plan | Other exit costs      
Restructuring      
Restructuring costs $ 1,500 $ 1,834 $ 71