Segment and Geographic Information - Net Revenue by Segment (Detail) - USD ($) $ in Millions	12 Months Ended
	Jan. 02, 2022	Jan. 03, 2021	Dec. 29, 2019
Segment Reporting Information [Line Items]
Net revenue	$ 2,042.8	$ 1,766.2	$ 1,801.5
Greater China
Segment Reporting Information [Line Items]
Net revenue	274.4	229.6	242.5
Other
Segment Reporting Information [Line Items]
Net revenue	724.8	613.5	684.0
Reportable Segment
Segment Reporting Information [Line Items]
Net revenue	2,042.8	1,766.2	1,801.5
Reportable Segment | Americas
Segment Reporting Information [Line Items]
Net revenue	1,228.9	1,067.3	1,042.5
Reportable Segment | EMEA
Segment Reporting Information [Line Items]
Net revenue	276.3	240.6	251.5
Reportable Segment | Greater China
Segment Reporting Information [Line Items]
Net revenue	274.4	229.6	242.5
Reportable Segment | Other
Segment Reporting Information [Line Items]
Net revenue	$ 263.2	$ 228.7	$ 265.0