Segment and Geographic Information - Net Revenue by Company's Country of Domicile (Detail) - USD ($) $ in Millions	12 Months Ended
	Jan. 02, 2022	Jan. 03, 2021	Dec. 29, 2019
Net revenue
Net revenue	$ 2,042.8	$ 1,766.2	$ 1,801.5
UNITED KINGDOM
Net revenue
Net revenue	27.5	21.9	19.9
United States
Net revenue
Net revenue	1,016.1	901.2	855.1
Greater China
Net revenue
Net revenue	274.4	229.6	242.5
Other
Net revenue
Net revenue	$ 724.8	$ 613.5	$ 684.0