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Income Taxes - Schedule of Effective Income Tax Rate Reconciliation (Details) - USD ($)
$ in Thousands
3 Months Ended 7 Months Ended 9 Months Ended 10 Months Ended
Sep. 30, 2022
Oct. 01, 2021
Dec. 31, 2021
Sep. 30, 2022
Oct. 01, 2021
Oct. 31, 2021
Income Tax Disclosure [Abstract]            
Taxes calculated at the U.S. federal statutory rate     $ 2,500      
Effect of tax rates on international operations     1,112      
Withholding taxes     1,427      
Income tax expense $ 17,836 $ 17,441 $ 5,039 $ 63,629 $ 47,043 $ 47,000