Goodwill and Other Intangible Assets - Narratve (Detail) - USD ($) $ in Millions	12 Months Ended
	Jan. 02, 2021	Dec. 28, 2019	Dec. 29, 2018
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]
Goodwill	$ 982.4	$ 913.8	$ 902.2
Gross carrying value, finite-lived intangible assets	440.8	420.0
Non-amortized trademarks	$ 129.6	115.0
Weighted-average amortization period (in years)	11 years
Aggregate amortization expense	$ 23.4	22.3	$ 25.3
Estimated annual amortization expense for fiscal period 2021	23.3
Estimated annual amortization expense for fiscal period 2022	20.2
Estimated annual amortization expense for fiscal period 2023	17.2
Estimated annual amortization expense for fiscal period 2024	12.5
Estimated annual amortization expense for fiscal period 2025	8.2
Sigmavision Limited
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]
Goodwill	5.6
Cognitran Limited
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]
Goodwill	14.5	11.4
Increase in goodwill associated with acquisition, purchase accounting adjustment	3.1
Non-amortized trademarks		6.5
AutoCrib
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]
Goodwill	18.3
Non-amortized trademarks	7.4
Power Hawk Technologies Inc
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]
Goodwill		6.4
TMB GeoMarketing Limited
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]
Goodwill		1.3
Patents
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]
Gross carrying value, finite-lived intangible assets	$ 43.2	38.5
Weighted-average amortization period (in years)	7 years
Patents | Sigmavision Limited
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]
Gross carrying value, finite-lived intangible assets	$ 0.3
Customer relationships
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]
Gross carrying value, finite-lived intangible assets	$ 191.5	182.9
Weighted-average amortization period (in years)	15 years
Customer relationship contractual term, minimum (in years)	3 years
Customer relationship contractual term, maximum (in years)	5 years
Customer relationships | Cognitran Limited
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]
Gross carrying value, finite-lived intangible assets		10.2
Customer relationships | AutoCrib
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]
Gross carrying value, finite-lived intangible assets	$ 4.6
Customer relationships | Power Hawk Technologies Inc
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]
Gross carrying value, finite-lived intangible assets		0.9
Developed technology
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]
Gross carrying value, finite-lived intangible assets	$ 21.8	19.8
Weighted-average amortization period (in years)	3 years
Developed technology | Cognitran Limited
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]
Gross carrying value, finite-lived intangible assets		$ 1.1
Developed technology | AutoCrib
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]
Gross carrying value, finite-lived intangible assets	$ 1.7