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Goodwill, Trade Name, and Customer Lists - Schedule of Changes in Carrying Amount of Goodwill (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021
Goodwill [Line Items]
Beginning Balance	$ 793,892
Ending Balance	793,080	$ 793,892
Successor Period [Member]
Goodwill [Line Items]
Beginning Balance	793,892	770,089
Acquisitions	9,116	25,834
Foreign currency translation	(9,893)	(2,031)
Adjustments to initial purchase price allocations	(35)
Ending Balance	793,080	793,892
Americas [Member] | Successor Period [Member]
Goodwill [Line Items]
Beginning Balance	668,048	645,309
Acquisitions	9,116	22,714
Foreign currency translation	42	25
Adjustments to initial purchase price allocations	(35)
Ending Balance	677,171	668,048
International [Member] | Successor Period [Member]
Goodwill [Line Items]
Beginning Balance	125,844	124,780
Acquisitions	0	3,120
Foreign currency translation	(9,935)	(2,056)
Adjustments to initial purchase price allocations	0
Ending Balance	$ 115,909	$ 125,844

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