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Redeemable Noncontrolling Interest - Additional Information (Detail) - USD ($) $ in Millions | 9 Months Ended |
--- | --- | ---
Sep. 30, 2023 | Dec. 31, 2022
Noncontrolling Interest [Line Items] |  |
Redemption amount of noncontrolling interest | $ 10.7 | $ 16.6
Class A Common Stock |  |
Noncontrolling Interest [Line Items] |  |
Number of days used to determine exchange value based on weighted average price of Class A common stock | 20 days |
Class A Common Stock | Exchange of Redeemable Non controlling Interest To Class A Common Stock |  |
Noncontrolling Interest [Line Items] |  |
Stock conversion ratio | 1 |
vTv Therapeutics LLC |  |
Noncontrolling Interest [Line Items] |  |
Noncontrolling interest ownership percentage | 22.10% |

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