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Stockholders' Deficit (Details) $ / shares in Units, $ in Thousands, shares in Millions				4 Months Ended	8 Months Ended	12 Months Ended
	Jul. 31, 2020 $ / shares	Feb. 18, 2020 $ / shares	Nov. 05, 2019 $ / shares	Jan. 19, 2020 USD ($) $ / shares shares	Sep. 27, 2020 USD ($) shares	Sep. 27, 2020 USD ($) restaurant $ / shares	Sep. 29, 2019 USD ($) $ / shares	Sep. 30, 2018 USD ($) $ / shares
Equity, Class of Treasury Stock [Line Items]
Shares repurchased (in shares) | shares				1.9	0.0
Shares repurchased, average price per share (in usd per share) | $ / shares				$ 81.41
Cost of shares repurchased				$ 153,500		$ 153,550	$ 125,317	$ 340,000
Remaining amount under stock repurchase program					$ 122,200	122,200
Stock repurchase transactions initiated in prior fiscal year						$ 2,000
Number of cash dividends declared | restaurant						3
Amount of each of the three cash dividends declared per common share (in usd per share) | $ / shares	$ 0.40	$ 0.40	$ 0.40			$ 1.20	$ 1.60	$ 1.60
Total cash dividends						$ 27,700
Amount Expiring in November 2020
Equity, Class of Treasury Stock [Line Items]
Remaining amount under stock repurchase program					22,200	22,200
Amount Expiring in November 2021
Equity, Class of Treasury Stock [Line Items]
Remaining amount under stock repurchase program					$ 100,000	$ 100,000

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