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Redeemable Noncontrolling Interest - Additional Information (Detail) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2018
Dec. 31, 2017
Noncontrolling Interest [Line Items]    
Redemption amount of noncontrolling interest $ 62.5 $ 131.4
Class A Common Stock [Member]    
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 [Member] | Exchange of Redeemable Non controlling Interest To Class A Common Stock [Member]    
Noncontrolling Interest [Line Items]    
Stock conversion ratio 1.00  
vTv Therapeutics LLC [Member]    
Noncontrolling Interest [Line Items]    
Noncontrolling interest ownership percentage 53.20%