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Other Intangible Assets, Net - Carrying Amount of Other Intangible Assets (Details) - USD ($)
$ in Thousands
 3 Months Ended 12 Months Ended
Jun. 30, 2022
Dec. 31, 2022
Dec. 31, 2021
Acquired Finite-Lived Intangible Assets [Line Items]      
Gross amount   $ 785,406 $ 782,751
Accumulated amortization   (585,086) (569,463)
Net carrying amount   200,320 213,288
Customer relationships      
Acquired Finite-Lived Intangible Assets [Line Items]      
Useful life in years 5 years    
Gross amount   392,737 357,991
Accumulated amortization   (303,733) (272,732)
Net carrying amount   $ 89,004 $ 85,259
Customer relationships | Minimum      
Acquired Finite-Lived Intangible Assets [Line Items]      
Useful life in years   8 years 8 years
Customer relationships | Maximum      
Acquired Finite-Lived Intangible Assets [Line Items]      
Useful life in years   15 years 15 years
Trademark      
Acquired Finite-Lived Intangible Assets [Line Items]      
Gross amount   $ 43,195 $ 41,901
Accumulated amortization   (37,998) (36,684)
Net carrying amount   $ 5,197 $ 5,217
Trademark | Minimum      
Acquired Finite-Lived Intangible Assets [Line Items]      
Useful life in years   1 year 1 year
Trademark | Maximum      
Acquired Finite-Lived Intangible Assets [Line Items]      
Useful life in years   15 years 15 years
Software packages      
Acquired Finite-Lived Intangible Assets [Line Items]      
Gross amount   $ 349,474 $ 326,320
Accumulated amortization   (243,355) (217,643)
Net carrying amount   $ 106,119 $ 108,677
Software packages | Minimum      
Acquired Finite-Lived Intangible Assets [Line Items]      
Useful life in years   3 years 3 years
Software packages | Maximum      
Acquired Finite-Lived Intangible Assets [Line Items]      
Useful life in years   10 years 10 years
Non-compete agreement      
Acquired Finite-Lived Intangible Assets [Line Items]      
Useful life in years     15 years
Gross amount     $ 56,539
Accumulated amortization     (42,404)
Net carrying amount     $ 14,135