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Debt - Additional Information (Details) - USD ($)
9 Months Ended 12 Months Ended
Apr. 05, 2019
Sep. 30, 2022
Dec. 31, 2019
Dec. 31, 2021
Aug. 21, 2018
Debt Instrument [Line Items]          
Long-term debt, amount outstanding   $ 1,017,336,000      
Credit Agreement          
Debt Instrument [Line Items]          
Effective interest rate   4.88%      
Credit Agreement | SOFR | Option (a)          
Debt Instrument [Line Items]          
Basis spread on variable rate   1.00%      
Credit Agreement | SOFR | Option (b) | Minimum          
Debt Instrument [Line Items]          
Basis spread on variable rate   1.25%      
Credit Agreement | SOFR | Option (b) | Maximum          
Debt Instrument [Line Items]          
Basis spread on variable rate   2.25%      
Credit Agreement | Base Rate | Option (a) | Minimum          
Debt Instrument [Line Items]          
Basis spread on variable rate   0.25%      
Credit Agreement | Base Rate | Option (a) | Maximum          
Debt Instrument [Line Items]          
Basis spread on variable rate   1.25%      
Credit Agreement | Federal Funds Effective Rate | Option (a)          
Debt Instrument [Line Items]          
Basis spread on variable rate   0.50%      
Overdraft Facility | Credit Agreement          
Debt Instrument [Line Items]          
Line of credit facility, amount available   $ 75,000,000      
Amount outstanding on overdraft facility   0   $ 0  
Overdraft Facility | Credit Agreement | Federal Funds Effective Rate          
Debt Instrument [Line Items]          
Basis spread on variable rate     2.25%    
Senior Notes | 5.750% Senior notes, due August 2026          
Debt Instrument [Line Items]          
Long-term debt, amount outstanding   400,000,000      
Face amount         $ 400,000,000
Issue price percentage of senior notes of the principal amount         100.00%
Stated interest rate         5.75%
Other | Multi-year License Agreement          
Debt Instrument [Line Items]          
Face amount   10,700,000      
Other long-term debt, amount outstanding   9,300,000   $ 2,900,000  
Other | Multi-year License Agreement | Other Current Liabilities          
Debt Instrument [Line Items]          
Other long-term debt, amount outstanding   5,800,000      
Other | Multi-year License Agreement | Other Noncurrent Liabilities          
Debt Instrument [Line Items]          
Other long-term debt, amount outstanding   3,500,000      
Revolving credit facility | Credit Agreement          
Debt Instrument [Line Items]          
Line of credit, carrying amount   10,000,000      
Unused borrowings   488,500,000      
Debt instrument, term 5 years        
Maximum borrowing capacity $ 500,000,000        
Revolving credit facility | Letter of Credit | Credit Agreement          
Debt Instrument [Line Items]          
Unused borrowings   1,500,000      
Term loans | Credit Agreement          
Debt Instrument [Line Items]          
Long-term debt, amount outstanding   $ 607,300,000      
Initial Term Loan | Credit Agreement          
Debt Instrument [Line Items]          
Debt instrument, term 5 years        
Face amount $ 279,000,000        
Delayed Draw Term Loan | Credit Agreement          
Debt Instrument [Line Items]          
Debt instrument, term 5 years        
Face amount $ 500,000,000