Goodwill and Other Intangible Assets - Schedule of Changes In Goodwill (Details) $ in Millions	12 Months Ended
	Jan. 02, 2022 USD ($)
Goodwill [Line Items]
Balance at beginning of fiscal year	$ 580.1
Foreign currency translation	(6.5)
Balance at end of fiscal year	573.6
Americas
Goodwill [Line Items]
Balance at beginning of fiscal year	355.3
Foreign currency translation	(1.9)
Balance at end of fiscal year	353.4
EMEA
Goodwill [Line Items]
Balance at beginning of fiscal year	38.9
Foreign currency translation	(1.1)
Balance at end of fiscal year	37.8
Greater China
Goodwill [Line Items]
Balance at beginning of fiscal year	126.5
Foreign currency translation	1.8
Balance at end of fiscal year	128.3
Other
Goodwill [Line Items]
Balance at beginning of fiscal year	59.4
Foreign currency translation	(5.3)
Balance at end of fiscal year	$ 54.1