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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 30, 2020 | Feb. 29, 2020 | Nov. 30, 2019 | May 25, 2019 | Feb. 23, 2019 | Nov. 24, 2018 | May 30, 2020 | May 25, 2019
Earnings Per Share, Basic, by Common Class, Including Two Class Method [Line Items] |  |  |  |  |  |  |  |
Net income available to shareholders | $ 21,285 | $ 34,680 | $ 48,242 | $ 47,220 | $ 47,606 | $ 38,320 | $ 104,207 | $ 133,146
Allocation of net income for Basic: |  |  |  |  |  |  |  |
Common stock | $ 21,285 |  |  | $ 47,220 |  |  | $ 104,207 | $ 133,146
Weighted average number of shares for Basic: |  |  |  |  |  |  |  |
Common stock (in shares) | 18,898 |  |  | 19,051 |  |  | 18,928 | 19,110
Common Stock |  |  |  |  |  |  |  |
Allocation of net income for Basic: |  |  |  |  |  |  |  |
Common stock | $ 17,871 |  |  | $ 39,563 |  |  | $ 87,519 | $ 111,626
Weighted average number of shares for Basic: |  |  |  |  |  |  |  |
Common stock (in shares) | 15,255 |  |  | 15,341 |  |  | 15,285 | 15,400
Income per share for Basic: |  |  |  |  |  |  |  |
Common stock (in dollars per share) | $ 1.17 |  |  | $ 2.58 |  |  | $ 5.73 | $ 7.25
Class B Common Stock |  |  |  |  |  |  |  |
Allocation of net income for Basic: |  |  |  |  |  |  |  |
Common stock | $ 3,414 |  |  | $ 7,657 |  |  | $ 16,688 | $ 21,520
Weighted average number of shares for Basic: |  |  |  |  |  |  |  |
Common stock (in shares) | 3,643 |  |  | 3,710 |  |  | 3,643 | 3,710
Income per share for Basic: |  |  |  |  |  |  |  |
Common stock (in dollars per share) | $ 0.94 |  |  | $ 2.06 |  |  | $ 4.58 | $ 5.80

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