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Stockholders' Equity (Details 2) - USD ($) $ / shares in Units, $ in Millions	12 Months Ended
	Aug. 31, 2024	Aug. 26, 2023	Aug. 27, 2022	Oct. 21, 2022	Apr. 13, 2022	Nov. 13, 2018
Stock Repurchase Program
Repurchase of common stock (in shares)	0	546,346	1,720,520
Treasury Stock Acquired, Average Cost Per Share		$ 30.11	$ 34.79
Share Repurchase Program, Remaining Authorized, Amount	$ 71.5
Translation Adjustment Functional to Reporting Currency, Increase (Decrease), Gross of Tax			$ 1.1
Treasury Stock, Common
Stock Repurchase Program
Share Repurchase Program, Authorized, Amount	$ 150.0			$ 50.0	$ 50.0	$ 50.0
Repurchase of common stock (in shares)		546,346	1,720,520