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Shares Repurchased and Dividends - Narrative (Details) - USD ($) |  |  | 3 Months Ended | 6 Months Ended |
--- | --- | --- | --- | --- | ---
Oct. 25, 2022 | Oct. 20, 2021 | Feb. 25, 2023 | Nov. 26, 2022 | Feb. 26, 2022 | Nov. 27, 2021 | Feb. 25, 2023 | Feb. 26, 2022 | Oct. 18, 2021
Equity, Class of Treasury Stock [Line Items] |  |  |  |  |  |  |  |  |
Shares repurchased (in shares) |  |  | 0 |  | 52,500 |  | 0 | 75,250 |
Total cost of shares repurchased divided by the total number of shares repurchased |  |  |  |  | $ 190.37 |  |  | $ 167.54 |
Stock repurchase remaining amount |  |  | $ 63,600,000 |  |  |  | $ 63,600,000 |  |
Maximum |  |  |  |  |  |  |  |  |
Equity, Class of Treasury Stock [Line Items] |  |  |  |  |  |  |  |  |
Stock repurchase authorized, Value |  |  |  |  |  |  |  |  | $ 100,000,000.0
Class B Common Stock |  |  |  |  |  |  |  |  |
Equity, Class of Treasury Stock [Line Items] |  |  |  |  |  |  |  |  |
Quarterly dividend amount (in dollars per share) | $ 0.248 | $ 0.24 | $ 0.248 | $ 0.248 | 0.20 | $ 0.20 |  |  |
Common Stock |  |  |  |  |  |  |  |  |
Equity, Class of Treasury Stock [Line Items] |  |  |  |  |  |  |  |  |
Quarterly dividend amount (in dollars per share) | $ 0.31 | $ 0.30 | $ 0.31 | $ 0.31 | $ 0.25 | $ 0.25 |  |  |

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- Definition Aggregate dividends declared during the period for each share of common stock outstanding. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 505 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SX 210.3-04) -URI https://asc.fasb.org/extlink&oid=120397183&loc=d3e187085-122770 + Details
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