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Stock-Based Compensation Plans - Schedule of Expense Components (Details) - USD ($) $ in Millions	12 Months Ended
	Aug. 30, 2025	Aug. 31, 2024	Aug. 26, 2023
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total stock-based compensation expense	$ 15.8	$ 14.6	$ 10.9
Time-based
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total stock-based compensation expense	11.2	11.6	9.8
Performance-based
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total stock-based compensation expense	1.6	0.5	(0.9)
Stock options
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total stock-based compensation expense	1.8	1.4	1.3
Other
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total stock-based compensation expense	$ 1.2	$ 1.1	$ 0.7

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Amount of noncash expense for share-based payment arrangement.

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