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Stockholders' Equity (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Oct. 01, 2022
Nov. 17, 2021
Equity [Abstract]    
Stock repurchase program, authorized amount   $ 150.0
Repurchase of common stock (in shares) 6,578,973  
Purchase price of common stock $ 150.0  
Average price per share (in dollars per share) $ 22.80  
Retirement of treasury stock (in shares) 6,859,215