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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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