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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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