Net Revenues - Summary of Disaggregated Revenue (Detail) - USD ($) $ in Millions	1 Months Ended	12 Months Ended
	Jan. 31, 2022	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
Disaggregation Of Revenue [Line Items]
Net revenues		$ 6,558	$ 3,940	$ 3,587
United States [Member]
Disaggregation Of Revenue [Line Items]
Net revenues		4,062	3,549	3,349
FRANCE [Member]
Disaggregation Of Revenue [Line Items]
Net revenues		564
Other [Member]
Disaggregation Of Revenue [Line Items]
Net revenues		1,932	391	238
Safety Services [Member]
Disaggregation Of Revenue [Line Items]
Net revenues		4,575	2,081	1,639
Safety Services [Member] | United States [Member]
Disaggregation Of Revenue [Line Items]
Net revenues		2,148	1,726	1,435
Safety Services [Member] | FRANCE [Member]
Disaggregation Of Revenue [Line Items]
Net revenues		564
Safety Services [Member] | Other [Member]
Disaggregation Of Revenue [Line Items]
Net revenues		1,863	355	204
Specialty Services [Member]
Disaggregation Of Revenue [Line Items]
Net revenues		2,030	1,906	1,960
Specialty Services [Member] | United States [Member]
Disaggregation Of Revenue [Line Items]
Net revenues		1,961	1,870	1,926
Specialty Services [Member] | Other [Member]
Disaggregation Of Revenue [Line Items]
Net revenues		69	36	34
Corporate and Elimination [Member]
Disaggregation Of Revenue [Line Items]
Net revenues		(47)	(47)	(12)
Corporate and Elimination [Member] | United States [Member]
Disaggregation Of Revenue [Line Items]
Net revenues		(47)	(47)	(12)
Life Safety [Member]
Disaggregation Of Revenue [Line Items]
Net revenues		4,025	1,647	1,317
Life Safety [Member] | Safety Services [Member]
Disaggregation Of Revenue [Line Items]
Net revenues		4,025	1,647	1,317
Heating, Ventilation and Air Conditioning ("HVAC") [Member]
Disaggregation Of Revenue [Line Items]
Net revenues		550	434	322
Heating, Ventilation and Air Conditioning ("HVAC") [Member] | Safety Services [Member]
Disaggregation Of Revenue [Line Items]
Net revenues		550	434	322
Infrastructure/Utility [Member]
Disaggregation Of Revenue [Line Items]
Net revenues		1,154	1,057	1,370
Infrastructure/Utility [Member] | Specialty Services [Member]
Disaggregation Of Revenue [Line Items]
Net revenues		1,154	1,057	1,370
Fabrication [Member]
Disaggregation Of Revenue [Line Items]
Net revenues		253	244	178
Fabrication [Member] | Specialty Services [Member]
Disaggregation Of Revenue [Line Items]
Net revenues		253	244	178
Specialty Contracting [Member]
Disaggregation Of Revenue [Line Items]
Net revenues		623	605	412
Specialty Contracting [Member] | Specialty Services [Member]
Disaggregation Of Revenue [Line Items]
Net revenues		623	605	412
Corporate and Eliminations [Member]
Disaggregation Of Revenue [Line Items]
Net revenues	$ (47)	$ (47)	(47)	(12)
Corporate and Eliminations [Member] | Corporate and Elimination [Member]
Disaggregation Of Revenue [Line Items]
Net revenues	$ (47)		$ (47)	$ (12)