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Stock-Based Compensation - Additional Information (Detail) - USD ($)
 1 Months Ended 3 Months Ended 9 Months Ended 12 Months Ended 21 Months Ended
Feb. 28, 2021
Jan. 31, 2023
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2024
Sep. 30, 2023
Dec. 31, 2022
Sep. 30, 2023
Jan. 01, 2024
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Stock based compensation expense     $ 32,500,000 $ 38,000,000.0 $ 96,300,000 $ 121,900,000      
Intrinsic value of options         7,300,000 5,900,000      
Unrecognized stock-based compensation expense     $ 138,000,000.0   $ 138,000,000.0        
Unrecognized stock-based compensation, period of recognition         2 years        
2021 Equity Incentive Plan                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Number of shares available for grant (in shares) 29,700,000   59,700,000   59,700,000        
Number of additional shares available for grant (in shares)                 24,200,000
2022 Agent Equity Program                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Stock based compensation expense           11,600,000 $ 41,700,000 $ 53,300,000  
Outstanding stock options | 2012 Stock Incentive Plan                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Expiration period         10 years        
RSUs                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Granted (in shares)         24,238,196        
RSUs | Common Class A                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Shares issued in period (in shares)         18,200,000        
RSUs | 2012 Stock Incentive Plan                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Expiration period         7 years        
RSUs | 2022 Agent Equity Program                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Deferred compensation share-based arrangements, liability   $ 53,300,000              
RSUs | 2022 Agent Equity Program | Common Class A                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Granted (in shares)   14,100,000              
Employee Stock Purchase Plan | 2021 Equity Incentive Plan                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Increase in the shares authorized for issuance as a percentage of shares outstanding (in percent) 5.00%                
Employee Stock Purchase Plan | 2021 Employee Stock Purchase Plan                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Increase in the shares authorized for issuance as a percentage of shares outstanding (in percent) 1.00%                
Number of additional shares available for grant (in shares)                 4,700,000
Number of ESPP shares authorized (no more than) (in shares) 7,400,000                
Purchase period 6 months                
Purchase price of common stock, percent of market price (in percent) 85.00%                
Stock based compensation expense     $ 200,000 $ 400,000 $ 700,000 $ 1,000,000.0      
Employee withholdings for future purchases under the ESPP     $ 400,000   $ 400,000        
Employee Stock Purchase Plan | 2021 Employee Stock Purchase Plan | Common Class A                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Number of shares available for grant (in shares)     18,100,000   18,100,000        
Maximum employee subscription amount $ 12,500                
Shares issued in period (in shares)         700,000        
Employee Stock Purchase Plan | 2021 Employee Stock Purchase Plan | Maximum                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Number of ESPP shares authorized (no more than) (in shares) 150,000,000.0