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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 | 9 Months Ended
--- | --- | ---
May 28, 2022 | Feb. 26, 2022 | Nov. 27, 2021 | May 29, 2021 | Feb. 27, 2021 | Nov. 28, 2020 | May 28, 2022 | May 29, 2021
Earnings Per Share, Basic, by Common Class, Including Two Class Method [Line Items] |  |  |  |  |  |  |  |
Net income available to shareholders | $ 25,067 | $ 18,451 | $ 33,705 | $ 42,016 | $ 32,585 | $ 41,896 | $ 77,223 | $ 116,497
Allocation of net income for Basic: |  |  |  |  |  |  |  |
Net income allocated for common stockholder basic | $ 25,067 |  |  | $ 42,016 |  |  | $ 77,223 | $ 116,497
Weighted average number of shares for Basic: |  |  |  |  |  |  |  |
Common stock (in shares) | 18,802 |  |  | 18,881 |  |  | 18,843 | 18,881
Common Stock |  |  |  |  |  |  |  |
Allocation of net income for Basic: |  |  |  |  |  |  |  |
Net income allocated for common stockholder basic | $ 21,037 |  |  | $ 35,270 |  |  | $ 64,835 | $ 97,792
Weighted average number of shares for Basic: |  |  |  |  |  |  |  |
Common stock (in shares) | 15,170 |  |  | 15,238 |  |  | 15,211 | 15,238
Income per share for Basic: |  |  |  |  |  |  |  |
Common stock (in dollars per share) | $ 1.39 |  |  | $ 2.31 |  |  | $ 4.26 | $ 6.42
Class B Common Stock |  |  |  |  |  |  |  |
Allocation of net income for Basic: |  |  |  |  |  |  |  |
Net income allocated for common stockholder basic | $ 4,030 |  |  | $ 6,746 |  |  | $ 12,388 | $ 18,705
Weighted average number of shares for Basic: |  |  |  |  |  |  |  |
Common stock (in shares) | 3,632 |  |  | 3,643 |  |  | 3,632 | 3,643
Income per share for Basic: |  |  |  |  |  |  |  |
Common stock (in dollars per share) | $ 1.11 |  |  | $ 1.85 |  |  | $ 3.41 | $ 5.13

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