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Incentive Shares and Share/Stock-Based Compensation - Additional Information (Detail) - USD ($)
$ / shares in Units, $ in Thousands
12 Months Ended
May 31, 2021
Dec. 31, 2021
Dec. 31, 2020
Dec. 31, 2019
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Common Stock, Capital Shares Reserved for Future Issuance   6,948,647    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Vested, Number of Shares   4,719,605    
Share-based compensation expense   $ 13,321 $ 526 $ 111
Unvested Restricted Stock And Stock Options        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Share based compensation by share based payment arrangement unrecognized compensation   $ 56,300    
Share based compensation by share based payment arrangement unrecognized compensation remaining period for recognition   2 years 7 months 6 days    
Weighted-average period expected to be recognized   3 years 10 months 24 days    
Unamortized stock-based compensation for stock options   $ 2,100    
Incentive Share Plan [Member]        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Share based compensation by share based payment arrangement term of vesting   4 years    
Share based compensation by share based payment award fair value assumptions dividend yield   0.00%    
Total fair value of options   $ 1,100    
Weighted-average grant date fair value of options granted   $ 9.91    
Weighted-average period expected to be recognized   2 years 6 months    
Unamortized stock-based compensation for stock options   $ 41,100    
Incentive Share Plan [Member] | Day One Holding LLC [Member]        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Share based compensation by share based payment arrangment number of shares authorized   8,924,177    
Incentive Share Plan [Member] | Day One Holding LLC [Member] | Cliff Vesting        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Share based compensation by share based payment arrangement term of vesting   12 months    
Two Thousand And Twenty One Stock Incentive Plan        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Conversion of shares of one class into another   5,433,290    
Two Thousand And Twenty One Stock Incentive Plan | Unvested Common Stock        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Conversion of shares of one class into another   4,719,605    
Two Thousand And Twenty One Equity Incentive Plan        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Share based compensation by share based payment award fair value assumptions dividend yield   0.00%    
Common Stock, Capital Shares Reserved for Future Issuance 6,369,000      
Share-based Compensation Arrangement by Share-based Payment Award, Options, Vested, Number of Shares 4,719,605      
Total intrinsic value of the options outstanding   $ 3,756    
Weighted average remaining contractual term   9 years 4 months 24 days    
Two Thousand And Twenty One Equity Incentive Plan | Unvested Restricted Stock And Stock Options        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Share based compensation by share based payment arrangement term of vesting   4 years    
Two Thousand And Twenty One Equity Incentive Plan | Incremental Shares Reserved For Future Issuance        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Share-based Compensation Arrangement by Share-based Payment Award, Percentage of Outstanding Stock Maximum 5.00%      
Two Thousand And Twenty One Employee Stock Purchase Plan        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Common Stock, Capital Shares Reserved for Future Issuance 603,000      
Share-based Compensation Arrangement by Share-based Payment Award, Percentage of Outstanding Stock Maximum 1.00%      
Stock Issued During Period, Shares, Employee Stock Ownership Plan   23,353    
Share-based compensation expense   $ 200