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Stock-Based Compensation - Additional Information (Detail) - USD ($)
1 Months Ended 3 Months Ended 6 Months Ended 12 Months Ended 15 Months Ended 18 Months Ended
Feb. 28, 2021
Jan. 31, 2023
Feb. 28, 2022
Jun. 30, 2023
Jun. 30, 2022
Jun. 30, 2023
Jun. 30, 2022
Dec. 31, 2022
Dec. 31, 2021
Mar. 31, 2022
Jun. 30, 2023
Jan. 01, 2023
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                        
Number of additional shares available for grant (in shares)                       21,900,000
Stock based compensation expense       $ 39,000,000.0 $ 59,200,000 $ 83,900,000 $ 123,000,000.0          
Intrinsic value of options           $ 4,900,000 19,500,000          
Closing stock price (in dollars per share)       $ 3,500,000   $ 3,500,000   $ 2,330,000     $ 3,500,000  
Unrecognized stock-based compensation expense       $ 223,500,000   $ 223,500,000         $ 223,500,000  
Unrecognized stock-based compensation, period of recognition           2 years 1 month 6 days            
Common Class A                        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                        
Closing stock price (in dollars per share)       $ 23.14   $ 23.14         $ 23.14  
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     36,500,000   36,500,000         36,500,000  
2021 Agent Equity Program                        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                        
Stock based compensation expense             15,200,000   $ 84,800,000 $ 100,000,000    
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            
Restricted Stock Units                        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                        
Nonvested stock options (in shares)       48,872,402   48,872,402   47,189,837     48,872,402  
Percentage of options (in percent)           12.50%            
Granted (in shares)           30,103,327            
Restricted Stock Units | Service-based and Performance-based                        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                        
Nonvested stock options (in shares)       17,200,000   17,200,000         17,200,000  
Restricted Stock Units | Common Class A                        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                        
Shares issued in period (in shares)           23,000,000            
Restricted Stock Units | Common Class A | Share-based Payment Arrangement, Tranche One                        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                        
Vesting rights threshold (in percent)           200.00%            
Restricted Stock Units | Common Class A | Share-based Payment Arrangement, Tranche Two                        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                        
Vesting rights threshold (in percent)           250.00%            
Restricted Stock Units | Common Class A | Share-based Payment Arrangement, Tranche Three                        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                        
Vesting rights threshold (in percent)           300.00%            
Restricted Stock Units | Common Class A | Share-based Payment Arrangement, Tranche Four                        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                        
Vesting rights threshold (in percent)           350.00%            
Restricted Stock Units | Common Class A | Share-based Payment Arrangement, Tranche Five                        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                        
Vesting rights threshold (in percent)           400.00%            
Restricted Stock Units | Common Class A | Share-based Payment Arrangement, Tranche Six                        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                        
Vesting rights threshold (in percent)           450.00%            
Restricted Stock Units | Common Class A | Share-based Payment Arrangement, Tranche Seven                        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                        
Vesting rights threshold (in percent)           500.00%            
Restricted Stock Units | 2012 Stock Incentive Plan                        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                        
Expiration period           7 years            
Restricted Stock Units | 2021 Agent Equity Program                        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                        
Deferred compensation share-based arrangements, liability                 $ 100,000,000      
Restricted Stock Units | 2021 Agent Equity Program | Common Class A                        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                        
Granted (in shares)     13,600,000                  
Restricted Stock Units | 2022 Agent Equity Program                        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                        
Deferred compensation share-based arrangements, liability               $ 53,300,000        
Restricted Stock Units | 2022 Agent Equity Program | Common Class A                        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                        
Granted (in shares)   14,100,000                    
Shares subject to the 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%                      
Shares subject to the 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)                       4,200,000
Purchase period 6 months                      
Purchase price of common stock, percent of market price (in percent) 85.00%                      
Stock based compensation expense       $ 400,000 $ 600,000 $ 700,000 $ 1,000,000          
Employee withholdings for future purchases under the ESPP       $ 1,100,000   $ 1,100,000         $ 1,100,000  
Shares subject to the 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)       14,500,000   14,500,000         14,500,000  
Maximum employee subscription amount $ 12,500                      
Shares issued in period (in shares)           400,000            
Shares subject to the 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 (in shares) 150,000,000