Goodwill and Intangible Assets - Additional Information (Detail) - USD ($) $ in Millions	3 Months Ended	12 Months Ended
	Mar. 31, 2020	Dec. 31, 2021	Dec. 31, 2020	Dec. 31, 2019
Goodwill And Intangible Assets [Line Items]
Goodwill		$ 1,564.0	$ 1,596.0	$ 1,694.9
Indefinite-lived intangible assets and goodwill Impairment charges			139.1
Amortization of intangible assets		$ 70.4	$ 69.8	$ 70.4
Weighted average estimated useful life of intangible assets		14 years
Estimated amortization expense, year 2022		$ 56.8
Estimated amortization expense, year 2023		55.7
Estimated amortization expense, year 2024		55.3
Estimated amortization expense, year 2025		54.9
Estimated amortization expense, year 2026		53.9
Estimated amortization expense, thereafter		$ 568.4
Minimum [Member]
Goodwill And Intangible Assets [Line Items]
Amortization period		4 years
Maximum [Member]
Goodwill And Intangible Assets [Line Items]
Amortization period		29 years
Customer Relationships, Product Technology and Patents [Member] | Minimum [Member]
Goodwill And Intangible Assets [Line Items]
Amortization period		4 years
Customer Relationships, Product Technology and Patents [Member] | Maximum [Member]
Goodwill And Intangible Assets [Line Items]
Amortization period		29 years
Thomson Reporting Unit [Member]
Goodwill And Intangible Assets [Line Items]
Goodwill		$ 443.4
Thomson Reporting Unit [Member] | Maximum [Member]
Goodwill And Intangible Assets [Line Items]
Reporting unit, percentage of fair value in excess of carrying amount		10.00%
All Other Reporting Units [Member]
Goodwill And Intangible Assets [Line Items]
Reporting unit, percentage of fair value in excess of carrying amount		10.00%
Jacobs Vehicle Systems [Member]
Goodwill And Intangible Assets [Line Items]
Non-cash impairment charges	$ 8.4
Indefinite-lived intangible assets and goodwill Impairment charges	$ 139.1