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Stockholders' Equity (Details) - USD ($)
$ / shares in Units, $ in Thousands, shares in Millions
3 Months Ended 4 Months Ended 12 Months Ended
Sep. 29, 2019
Jul. 07, 2019
Apr. 14, 2019
Jan. 20, 2019
Sep. 29, 2019
Sep. 30, 2018
Oct. 01, 2017
Stockholders' Equity Note [Abstract]              
Remaining amount under stock repurchase program $ 175,700       $ 175,700    
Shares repurchased         1.4    
Cost of shares repurchased         $ 125,317 $ 340,000 $ 327,153
Stock repurchase transactions settled in subsequent fiscal year         $ 2,000 $ 14,400  
Stock repurchase transactions initiated in prior fiscal year             $ 7,200
Cash dividends declared per common share (in usd per share) $ 0.40 $ 0.40 $ 0.40 $ 0.40 $ 1.60 $ 1.60 $ 1.60
Dividends         $ 41,400