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Income Taxes - Narrative (Details) - USD ($) $ in Millions | 3 Months Ended | 9 Months Ended
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May 30, 2020 | May 25, 2019 | May 30, 2020 | May 25, 2019
Income Tax Disclosure [Abstract] |  |  |  |
Effective income tax rate | 21.80% | 23.50% | 22.80% | 24.80%
Discrete tax benefit due to exercise of stock appreciation rights | $ 0.5 |  | $ 1.9 |
Discrete tax benefit resulting from release of tax reserves | 0.4 |  | 1.8 |
Decrease in unrecognized tax benefits of due to release of tax reserves | $ 0.4 |  | $ 1.8 |

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