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Stockholders' Equity - Narrative (Details) - USD ($)
$ / shares in Units, $ in Thousands
 12 Months Ended
Oct. 03, 2025
Sep. 27, 2024
Sep. 29, 2023
Nov. 11, 2025
Nov. 05, 2024
Class of Stock [Line Items]          
Stock repurchased during period $ 173,929 $ 21,419 $ 31,319    
Preferred stock, shares authorized (in shares) 100,000,000.0 100,000,000.0      
Preferred stock, par value (in dollars per share) $ 0.01 $ 0.01      
Preferred stock, shares outstanding (in shares) 0 0      
Preferred stock, shares issued (in shares) 0 0      
Common Stock          
Class of Stock [Line Items]          
Stock repurchase program, authorized amount         $ 500,000
Stock repurchased during period (in shares) 4,000,000.0        
Stock repurchased during period $ 140,200        
Common Stock | Subsequent Event          
Class of Stock [Line Items]          
Dividends payable (in dollars per share)       $ 0.12