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Summary of Significant Accounting Policies - Computation of Basic Earnings Per Share (Details) - USD ($) $ / shares in Units, shares in Thousands, $ in Thousands | 3 Months Ended | 12 Months Ended
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Aug. 25, 2018 | May 26, 2018 | Feb. 24, 2018 | Nov. 25, 2017 | Aug. 26, 2017 | May 27, 2017 | Feb. 25, 2017 | Nov. 26, 2016 | Aug. 25, 2018 | Aug. 26, 2017 | Aug. 27, 2016
Earnings Per Share, Basic, by Common Class, Including Two Class Method [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net income available to shareholders | $ 34,952 | $ 36,359 | $ 58,378 | $ 34,206 | $ (4,896) | $ 24,362 | $ 22,516 | $ 28,214 | $ 163,895 | $ 70,196 | $ 125,026
Allocation of net income for Basic: |  |  |  |  |  |  |  |  |  |  |
Common Stock |  |  |  |  |  |  |  |  | $ 163,895 | $ 70,196 | $ 125,026
Weighted average number of shares for Basic: |  |  |  |  |  |  |  |  |  |  |
Common Stock (in shares) |  |  |  |  |  |  |  |  | 19,811 | 20,284 | 20,168
Common Stock |  |  |  |  |  |  |  |  |  |  |
Allocation of net income for Basic: |  |  |  |  |  |  |  |  |  |  |
Common Stock | $ 29,312 | $ 30,034 | $ 46,744 | $ 27,384 | $ (3,908) | $ 19,307 | $ 17,836 | $ 22,342 | $ 133,802 | $ 55,903 | $ 99,282
Weighted average number of shares for Basic: |  |  |  |  |  |  |  |  |  |  |
Common Stock (in shares) | 15,429 | 15,446 | 15,481 | 15,462 | 15,402 | 15,326 | 15,305 | 15,285 | 15,454 | 15,382 | 15,245
Income per share for Basic: |  |  |  |  |  |  |  |  |  |  |
Common Stock (in dollars per share) | $ 1.90 | $ 1.94 | $ 3.02 | $ 1.77 | $ (0.25) | $ 1.26 | $ 1.17 | $ 1.46 | $ 8.66 | $ 3.63 | $ 6.51
Class B Common Stock |  |  |  |  |  |  |  |  |  |  |
Allocation of net income for Basic: |  |  |  |  |  |  |  |  |  |  |
Common Stock | $ 5,640 | $ 6,325 | $ 11,634 | $ 6,822 | $ (978) | $ 4,883 | $ 4,518 | $ 5,668 | $ 30,093 | $ 13,915 | $ 25,093
Weighted average number of shares for Basic: |  |  |  |  |  |  |  |  |  |  |
Common Stock (in shares) | 3,711 | 4,087 | 4,816 | 4,816 | 4,818 | 4,846 | 4,846 | 4,847 | 4,357 | 4,786 | 4,816
Income per share for Basic: |  |  |  |  |  |  |  |  |  |  |
Common Stock (in dollars per share) | $ 1.52 | $ 1.55 | $ 2.42 | $ 1.42 | $ (0.20) | $ 1.01 | $ 0.93 | $ 1.17 | $ 6.91 | $ 2.91 | $ 5.21
Unvested participating shares |  |  |  |  |  |  |  |  |  |  |
Allocation of net income for Basic: |  |  |  |  |  |  |  |  |  |  |
Common Stock |  |  |  |  |  |  |  |  | $ 0 | $ 378 | $ 651
Weighted average number of shares for Basic: |  |  |  |  |  |  |  |  |  |  |
Common Stock (in shares) |  |  |  |  |  |  |  |  | 0 | 116 | 107

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