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Income Taxes - Changes in Unrecognized Tax Benefits (Details) - USD ($) $ in Millions | 12 Months Ended
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Aug. 31, 2024 | Aug. 26, 2023 | Aug. 27, 2022
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward] |  |  |
Balance at beginning of year | $ 5.5 | $ 5.0 | $ 5.5
Gross decreases-tax positions in a prior year | (1.7) | (1.5) | (1.1)
Gross increases-tax positions in a prior year | 0.2 | 1.0 | 0.0
Gross increases-current year tax positions | 0.9 | 1.0 | 0.6
Balance at end of year | 4.9 | 5.5 | 5.0
Accrued interest and penalties | 0.5 | 0.6 | 0.7
Total unrecognized tax benefits | $ 5.4 | $ 6.1 | $ 5.7

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