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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 |  |

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