v3.22.4
Stock-Based Compensation and Equity - Summary of the SARs Activity (Detail) - Vivint - Rollover SARs - USD ($)
$ / shares in Units, $ in Millions
 12 Months Ended
Dec. 31, 2022
Dec. 31, 2021
Dec. 31, 2020
Rollover SARs      
Outstanding, Beginning Balance (shares) 2,004,712 2,474,011  
Forfeited (shares) (608,481) (409,566)  
Exercised (shares) (56,808) (59,733)  
Outstanding, Ending Balance (shares) 1,339,423 2,004,712 2,474,011
Exercisable (shares) 1,339,423    
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Nonvested, Weighted Average Grant Date Fair Value [Abstract]      
Weighted average exercise price per share, outstanding, beginning balance (in dollars per share) $ 17.65 $ 17.59  
Weighted average exercise price per share, forfeited (in dollars per share) 18.47 18.50  
Weighted average exercise price per share, exercised (in dollars per share) 7.36 9.32  
Weighted average exercise price per share, outstanding, ending balance (in dollars per share) 17.71 $ 17.65 $ 17.59
Weighted average exercise price per share, Exercisable (in dollars per share) $ 17.71    
Outstanding, weighted average remaining contractual life 4 years 8 months 1 day 5 years 7 months 13 days 6 years 7 months 6 days
Exercisable at end of period, weighted average remaining contractual life 4 years 8 months 1 day    
Outstanding, aggregate intrinsic value $ 0.0 $ 0.0 $ 7.8
Exercisable, aggregate intrinsic value $ 0.0