Segment and Geographic Information - PPE and ROU Assets by Company's Country of Domicile (Detail) - USD ($) $ in Millions	Jan. 02, 2022	Jan. 03, 2021
Long-lived assets
Long-lived assets	$ 821.7	$ 858.7
UNITED KINGDOM
Long-lived assets
Long-lived assets	107.2	105.6
United States
Long-lived assets
Long-lived assets	470.0	507.5
Other
Long-lived assets
Long-lived assets	$ 244.5	$ 245.6

Long-lived assets other than financial instruments, long-term customer relationships of a financial institution, mortgage and other servicing rights, deferred policy acquisition costs, and deferred tax assets.

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 280
-SubTopic 10
-Section 50
-Paragraph 41
-Subparagraph (b)
-URI http://asc.fasb.org/extlink&oid=123359005&loc=d3e9038-108599

Name:	us-gaap_NoncurrentAssets
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant