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Unaudited Quarterly Financial Data - Summary of Unaudited Quarterly Financial Data (Detail) - USD ($)
$ / shares in Units, $ in Thousands
 3 Months Ended 12 Months Ended
Mar. 02, 2021
Dec. 31, 2022
Sep. 30, 2022
Jun. 30, 2022
Mar. 31, 2022
Dec. 31, 2021
Sep. 30, 2021
Jun. 30, 2021
Mar. 31, 2021
Dec. 31, 2022
Dec. 31, 2021
Dec. 31, 2020
Dec. 31, 2017
Selected Quarterly Financial Information [Line Items]                          
Impairment expense                   $ 20,552 $ 0 $ 0  
Goodwill impairment expense                   20,552      
Gross profit   $ 234,831 $ 239,316 $ 221,852 $ 211,745 $ 213,047 $ 192,131 $ 183,876 $ 177,952 907,744 767,006 533,803  
Operating income   19,578 48,747 56,117 51,126 39,597 41,859 42,676 40,603 175,568 164,735 78,007  
Income (loss) from continuing operations   (14,344) 1,106 31,536 23,747 25,883 18,720 (16,031) 17,802 42,045 46,374 13,566  
Net income (loss) attributable to Holdings   $ (11,968) $ (1,774) $ 26,367 $ 23,762 $ 22,088 $ 88,100 $ (14,630) $ 18,994 $ 36,387 $ 114,552 $ 22,780  
Continuing operations (in dollars per share)   $ (0.37) $ (0.23) $ 0.18 $ 0.06 $ (0.08) $ (0.13) $ (0.44) $ (0.05) $ (0.23) $ (0.49) $ (0.51)  
Income (Loss) from Discontinued Operations and Disposal of Discontinued Operations, Net of Tax, Per Diluted Share   0.03 0.02 (0.01) 0.08 0 1.10 0.06 0.06 0.13 1.22 0.17  
Earnings per share, diluted   $ (0.34) $ (0.21) $ 0.17 $ 0.14 $ (0.08) $ 0.97 $ (0.38) $ 0.01 $ (0.10) $ 0.73 $ (0.34)  
Goodwill, impaired, accumulated impairment loss   $ 78,297       $ 57,745       $ 78,297 $ 57,745    
Loss on debt extinguishment $ 33,300                 (534) (33,305) $ 0  
Income from discontinued operations           0 $ (1,309) $ 4,780 $ 4,194 0 7,665 13,531  
Gain on sale of discontinued operations, net of income tax                   9,393 72,770 100  
Revenue from Contract with Customer, Excluding Assessed Tax   594,921 $ 597,607 $ 537,754 $ 533,762 559,889 488,158 453,990 430,118 2,264,044 1,932,155 1,447,642  
Arnold                          
Selected Quarterly Financial Information [Line Items]                          
Goodwill impairment expense                   0     $ (24,900)
Revenue from Contract with Customer, Excluding Assessed Tax                   $ 153,815 $ 139,941 $ 98,990  
Discontinued Operations, Disposed of by Sale                          
Selected Quarterly Financial Information [Line Items]                          
Discontinued Operation, Gain on Disposal of Discontinued Operation, Net of Tax   $ 2,500 $ 1,479 $ (579) $ 5,993 $ 25 $ 72,745 $ 0 $ 0