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Equity-Based Compensation - Restricted Stock (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Nov. 15, 2021
Oct. 02, 2022
Oct. 02, 2022
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Converted from class P units of the Company upon LP liquidation 1,964,103    
Vested common stock      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Converted from class P units of the Company upon LP liquidation 1,536,304    
Unvested restricted stock      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Converted from class P units of the Company upon LP liquidation 427,799    
Equity based compensation   $ 0.7 $ 2.2
Unvested restricted stock | Service vesting      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Unrecognized equity based compensation   1.5 $ 1.5
Unrecognized equity-based compensation expected to be recognized period     1 year 5 months 8 days
Restricted stock units      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Restricted stock granted     2,213,373
Equity based compensation   2.2 $ 6.5
Unrecognized equity-based compensation expense   $ 12.7 $ 12.7
Unrecognized equity-based compensation expected to be recognized period     1 year 6 months 18 days
Restricted stock units | Executives and Employees      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Restricted stock granted   0 2,063,444
Restricted stock units | Executives and Employees | Minimum      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period     2 years
Restricted stock units | Executives and Employees | Maximum      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period     3 years
Restricted stock units | Directors      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Restricted stock granted   49,297 149,929
Restricted stock units | Directors | Minimum      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period     6 months
Restricted stock units | Directors | Maximum      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period     3 years