Goodwill and Intangible Assets, Net - Additional Information (Details) - USD ($)	12 Months Ended
	Jan. 01, 2023	Jan. 02, 2022	Jan. 03, 2021
Acquired Finite-Lived Intangible Assets [Line Items]
Goodwill impairment	$ 0	$ 0	$ 0
Intangible assets acquired	112,500,000	62,600,000
Amortization of intangible assets	50,800,000	45,000,000	$ 35,700,000
Customer relationships
Acquired Finite-Lived Intangible Assets [Line Items]
Intangible assets acquired	95,700,000	54,300,000
Change in intangible assets, additions	95,800,000	54,200,000
Adjustments to currency translation	$ (100,000)	100,000
Weighted average useful life	20 years
Trademarks and other
Acquired Finite-Lived Intangible Assets [Line Items]
Intangible assets acquired	$ 16,800,000	8,300,000
Change in intangible assets, additions	15,400,000	8,300,000
Adjustments to currency translation	$ 1,400,000	$ 0
Weighted average useful life	5 years