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Stock-Based Compensation (Details)
$ / shares in Units, $ in Millions
3 Months Ended 9 Months Ended 12 Months Ended
Sep. 06, 2022
shares
Jul. 12, 2022
$ / shares
shares
May 24, 2022
$ / shares
shares
May 19, 2022
shares
Feb. 24, 2022
installment
item
$ / shares
shares
Jan. 03, 2022
shares
Feb. 25, 2021
shares
Mar. 31, 2022
USD ($)
$ / shares
shares
Sep. 30, 2022
USD ($)
$ / shares
shares
Dec. 31, 2021
USD ($)
$ / shares
shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Common stock, par value (in dollars per share) | $ / shares                 $ 0.0001 $ 0.0001
Number of shares authorized       4,000,000            
Reclassified amount of awards | $                 $ 2.4  
Time-based restricted stock unit                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Cash paid at closing stock price on vesting date | $               $ 0.4    
Other than options                    
Outstanding Options at beginning of period (in shares)               1,862,590 1,862,590  
Granted (in shares)               116,837 1,261,144  
Vested (in shares)                 (433,653)  
Outstanding Options at end of period (in shares)                 2,690,081 1,862,590
Weighted Average Grant Date Fair Value per Share                    
Outstanding Options at beginning of period (in shares) | $ / shares               $ 3.00 $ 3.00  
Granted (in dollars per share) | $ / shares                 3.42  
Vested (in dollars per share) | $ / shares                 4.09  
Outstanding Options at end of period (in dollars per share) | $ / shares                 $ 3.02 $ 3.00
Time-based restricted stock unit | Non-executive Directors                    
Other than options                    
Granted (in shares)           10,861        
Time-based restricted stock unit | Executive Officers and Other Employees                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Vesting period (in years)         4 years          
Other than options                    
Granted (in shares)       159,766 1,085,548          
Time-based stock option awards                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Forfeited (in shares)                 0  
Expected term (years)                 6 years 3 months  
Expected dividend rate                 0.00%  
Stock Appreciation Rights (SARs) [Member]                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Share-based Payment Arrangement, Nonvested Award, Excluding Option, Cost Not yet Recognized, Amount | $                 $ 7.9  
Deferred Compensation Share-based Arrangements, Liability, Current | $                 $ 9.0 $ 1.2
Estimated Fair Value Per Share | $ / shares                 $ 10.87 $ 2.69
Expected volatility                 43.50%  
Expected term (years)                 6 years 3 months  
Expected dividend rate                 0.00%  
Expected risk-free interest                 1.07%  
Other than options                    
Granted (in shares)             1,578,537   0  
Forfeited (in shares)                 0  
Weighted Average Grant Date Fair Value per Share                    
Outstanding Options at end of period (in dollars per share) | $ / shares                 $ 0.78  
Aggregate intrinsic value                    
Outstanding aggregate Intrinsic Value | $                 $ 16.6  
Stock Appreciation Rights (SARs) [Member] | Accrued Liabilities [Member]                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Deferred Compensation Share-based Arrangements, Liability, Current | $                 4.5  
Stock Appreciation Rights (SARs) [Member] | Other Noncurrent Liabilities [Member]                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Deferred Compensation Share-based Arrangements, Liability, Current | $                 4.5  
Liability Based Restricted Stock Units [Member]                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Liability recognized | $                   $ 0.8
Weighted Average Grant Date Fair Value per Share                    
Granted (in dollars per share) | $ / shares                   $ 3.56
Liability Based Restricted Stock Units [Member] | Accrued Liabilities [Member]                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Liability recognized | $                   $ 0.5
Liability Based Restricted Stock Units [Member] | Other Noncurrent Liabilities [Member]                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Liability recognized | $                   $ 0.3
Time based and performance stock units                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Right to buy number of shares upon vesting     1   1          
Common stock, par value (in dollars per share) | $ / shares   $ 0.0001     $ 0.0001          
Share-based Payment Arrangement, Nonvested Award, Excluding Option, Cost Not yet Recognized, Amount | $                 $ 7.1  
Period to achieve cumulative operating cash flow amounts (in years)         3 years          
Expected volatility   55.76% 53.82%              
Expected term (years)   2 years 11 months 19 days 3 years 1 month 6 days              
Expected dividend rate   0.00% 0.00%              
Expected risk-free interest   3.05% 2.65%              
Exercise price | $ / shares   $ 6.96 $ 2.21              
Other than options                    
Granted (in shares)   750,000     245,017       1,495,017  
Outstanding Options at end of period (in shares)                 1,495,017  
Weighted Average Grant Date Fair Value per Share                    
Granted (in dollars per share) | $ / shares   $ 12.50             $ 5.22  
Outstanding Options at end of period (in dollars per share) | $ / shares     $ 12.50           $ 5.22  
Employees | Time-based restricted stock unit                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Number of equal installments | installment         4          
Number of anniversaries the awards vest | item         4          
Vesting period (in years)                 4 years  
Other than options                    
Granted (in shares) 4,969                  
Minimum | Time-based stock option awards                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Exercise price | $ / shares                 $ 4.51  
Minimum | Time based and performance stock units                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage         0.00%          
Maximum | Time-based stock option awards                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Exercise price | $ / shares                 $ 10.83  
Maximum | Time based and performance stock units                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage         150.00%          
Other than options                    
Granted (in shares)     500,000