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Income Per Share - Schedule of Computation of Basic Income Per Share (Details) - USD ($) $ / shares in Units, shares in Thousands, $ in Thousands | 3 Months Ended | 6 Months Ended
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Feb. 23, 2019 | Nov. 24, 2018 | Feb. 24, 2018 | Nov. 25, 2017 | Feb. 23, 2019 | Feb. 24, 2018
Earnings Per Share, Basic, by Common Class, Including Two Class Method [Line Items] |  |  |  |  |  |
Net income available to shareholders | $ 47,606 | $ 38,320 | $ 58,378 | $ 34,206 | $ 85,926 | $ 92,584
Allocation of net income for Basic: |  |  |  |  |  |
Common stock | $ 47,606 |  | $ 58,378 |  | $ 85,926 | $ 92,584
Weighted average number of shares for Basic: |  |  |  |  |  |
Common stock (in shares) | 19,138 |  | 20,297 |  | 19,140 | 20,287
Common Stock |  |  |  |  |  |
Allocation of net income for Basic: |  |  |  |  |  |
Common stock | $ 39,923 |  | $ 46,744 |  | $ 72,061 | $ 74,126
Weighted average number of shares for Basic: |  |  |  |  |  |
Common stock (in shares) | 15,428 |  | 15,481 |  | 15,430 | 15,471
Income per share for Basic: |  |  |  |  |  |
Common stock (in dollars per share) | $ 2.59 |  | $ 3.02 |  | $ 4.67 | $ 4.79
Class B Common Stock |  |  |  |  |  |
Allocation of net income for Basic: |  |  |  |  |  |
Common stock | $ 7,683 |  | $ 11,634 |  | $ 13,865 | $ 18,458
Weighted average number of shares for Basic: |  |  |  |  |  |
Common stock (in shares) | 3,710 |  | 4,816 |  | 3,710 | 4,816
Income per share for Basic: |  |  |  |  |  |
Common stock (in dollars per share) | $ 2.07 |  | $ 2.42 |  | $ 3.74 | $ 3.83

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