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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%