Goodwill and Other Intangible Assets - Narrative (Detail) - USD ($)	3 Months Ended
	Apr. 03, 2021	Mar. 28, 2020	Jan. 02, 2021
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]
Goodwill	$ 1,161,800,000		$ 982,400,000
Accumulated impairment losses	$ 0
Weighted-average amortization period (in years)	11 years
Aggregate amortization expense	$ 6,000,000.0	$ 5,700,000
Estimated annual amortization expense for fiscal period 2021	20,400,000
Estimated annual amortization expense for fiscal period 2022	20,700,000
Estimated annual amortization expense for fiscal period 2023	17,600,000
Estimated annual amortization expense for fiscal period 2024	12,600,000
Estimated annual amortization expense for fiscal period 2025	8,300,000
Estimated annual amortization expense for fiscal period 2026	7,700,000
Dealer-FX
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]
Goodwill	195,200,000
AutoCrib
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]
Goodwill	$ 18,300,000
Customer relationships
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]
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
Repair Systems & Information Group
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]
Goodwill	$ 829,000,000.0		638,800,000
Repair Systems & Information Group | Dealer-FX
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]
Goodwill	195,200,000
Commercial & Industrial Group
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]
Goodwill	320,400,000		$ 331,200,000
Commercial & Industrial Group | AutoCrib
Acquired Finite And Indefinite Lived Intangible Assets [Line Items]
Goodwill, purchase accounting adjustments	$ 18,300,000