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Subsequent Events - Additional Information (Detail) - USD ($)
3 Months Ended 12 Months Ended
Aug. 02, 2021
Jul. 30, 2021
Mar. 17, 2021
Jan. 19, 2021
Mar. 31, 2021
Dec. 31, 2018
Jul. 29, 2021
Jun. 30, 2021
Mar. 16, 2021
Dec. 31, 2020
Dec. 31, 2019
Subsequent Event [Line Items]                      
Line of credit facility, maximum borrowing capacity       $ 2,000,000              
Common Class A [Member]                      
Subsequent Event [Line Items]                      
Common stock shares issued               0   24,893,689  
Common stock shares outstanding               0   24,893,689  
Common stock par or stated value per share               $ 0.0001   $ 0.0001  
Common Class B [Member]                      
Subsequent Event [Line Items]                      
Common stock shares issued               17,250,000   17,250,000  
Common stock shares outstanding               17,250,000   17,250,000  
Common stock par or stated value per share               $ 0.0001   $ 0.0001  
Subsequent Event [Member]                      
Subsequent Event [Line Items]                      
Convertible promissory note into warrants       $ 2,000,000              
Warrants exercise per share       $ 1.00              
Subsequent Event [Member] | Subscription Arrangement [Member]                      
Subsequent Event [Line Items]                      
Shares acquired, business acquisition       15,000,000              
Business acquisition, share price       $ 10.00              
Gross proceeds from business acquisition       $ 150,000,000              
Subsequent Event [Member] | Maximum [Member]                      
Subsequent Event [Line Items]                      
Line of credit facility, maximum borrowing capacity       $ 2,000,000              
Cypress Holdings Inc And Subsidiaries [Member]                      
Subsequent Event [Line Items]                      
Dividends paid         $ (134,551,000) $ (50,000,000)          
Term Loan               $ 1,299,774,000   $ 1,292,597,000 $ 1,313,512,000
Cypress Holdings Inc And Subsidiaries [Member] | Two Thousand And Twenty One Incentive Equity Plan [Member]                      
Subsequent Event [Line Items]                      
Dividend declared but not paid, amount per share     $ 90.66                
Cypress Holdings Inc And Subsidiaries [Member] | Common Class A [Member]                      
Subsequent Event [Line Items]                      
Common stock shares issued           1,450,978   1,450,978   1,450,978 1,450,978
Common stock shares outstanding           1,450,978   1,450,978   1,450,978 1,450,978
Common stock par or stated value per share               $ 0.001   $ 0.001 $ 0.001
Cypress Holdings Inc And Subsidiaries [Member] | Common Class B [Member]                      
Subsequent Event [Line Items]                      
Common stock shares issued           27,405   33,178   29,785 27,967
Common stock shares outstanding           27,405   33,178   29,785 27,967
Common stock par or stated value per share               $ 0.001   $ 0.001 $ 0.001
Cypress Holdings Inc And Subsidiaries [Member] | Subsequent Event [Member] | First Lien Term Loan [Member]                      
Subsequent Event [Line Items]                      
Prepayment of debt   $ 525.0                  
Term Loan   804.2                  
Cypress Holdings Inc And Subsidiaries [Member] | Subsequent Event [Member] | Two Thousand And Twenty One Incentive Equity Plan [Member]                      
Subsequent Event [Line Items]                      
Dividend declared but not paid, amount per share             $ 90.71        
Modification Of Equity Incentive Award Cash Or Stock Settlement   $ 9,000,000.0                  
Share-based compensation arrangement by share-based payment award, number of shares authorized   147,053,215                  
Cypress Holdings Inc And Subsidiaries [Member] | Subsequent Event [Member] | New C C C [Member]                      
Subsequent Event [Line Items]                      
Payments to Acquire Businesses, Gross   $ 806,000,000                  
Stockholders' equity note, stock split   340.5507-for-1                  
Common stock shares issued   505,430,378                  
Common stock shares outstanding   505,430,378                  
Common stock par or stated value per share   $ 0.0001                  
Cypress Holdings Inc And Subsidiaries [Member] | Subsequent Event [Member] | Dividend Paid [Member]                      
Subsequent Event [Line Items]                      
Dividends paid $ 134,600,000   $ 134,600,000                
Cypress Holdings Inc And Subsidiaries [Member] | Subsequent Event [Member] | Common Class A [Member]                      
Subsequent Event [Line Items]                      
Dividend declared but not paid, amount per share             90.71   $ 90.66    
Cypress Holdings Inc And Subsidiaries [Member] | Subsequent Event [Member] | Common Class B [Member]                      
Subsequent Event [Line Items]                      
Dividend declared but not paid, amount per share             $ 90.71   $ 90.66