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Shareholders' Equity - Narrative (Details) - USD ($)
$ / shares in Units, $ in Thousands
12 Months Ended
Sep. 30, 2023
Oct. 01, 2022
Oct. 02, 2021
Aug. 18, 2022
Aug. 11, 2021
2022 Stock Repurchase Program          
Equity, Class of Treasury Stock [Line Items]          
Authorized repurchase amount         $ 50,000
Amount repurchased (in shares)   564,718 34,381    
Amount repurchased   $ 46,900 $ 3,100    
Average repurchase price (in dollars per share)   $ 83.07 $ 90.16    
2023 Stock Repurchase Program          
Equity, Class of Treasury Stock [Line Items]          
Authorized repurchase amount       $ 50,000  
Amount repurchased (in shares) 425,746 38,397      
Amount repurchased $ 40,900 $ 3,500      
Average repurchase price (in dollars per share) $ 95.96 $ 90.63      
Remaining authorized repurchase amount $ 5,700