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Stockholders' Equity (Details 2) - USD ($) $ / shares in Units, $ in Millions	12 Months Ended
	Aug. 30, 2025	Aug. 31, 2024	Aug. 26, 2023	Oct. 21, 2025	Oct. 21, 2022	Apr. 13, 2022	Nov. 13, 2018
Stock Repurchase Program
Repurchase of common stock (in shares)	1,592,471	0	546,346
Treasury Stock Acquired, Average Cost Per Share	$ 31.95		$ 30.11
Share Repurchase Program, Authorized, Amount	$ 150.0			$ 150.0	$ 50.0	$ 50.0	$ 50.0
Share Repurchase Program, Remaining Authorized, Amount	$ 20.7
Treasury Stock, Common
Stock Repurchase Program
Repurchase of common stock (in shares)	1,592,471		546,346