Goodwill and Other Intangible Assets - Other Intangible Assets by Major Class (Detail) - USD ($) $ in Millions	Apr. 03, 2021	Jan. 02, 2021
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value	$ 442.3	$ 440.8
Non-amortized trademarks	127.2	129.6
Total other intangible assets	569.5	570.4
Accumulated Amortization	(314.9)	(309.6)
Customer relationships
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value	190.8	191.5
Accumulated Amortization	(132.8)	(130.1)
Developed technology
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value	21.9	21.8
Accumulated Amortization	(20.3)	(19.9)
Internally developed software
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value	174.3	172.2
Accumulated Amortization	(130.5)	(128.0)
Patents
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value	43.4	43.2
Accumulated Amortization	(25.1)	(25.3)
Trademarks
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value	3.8	3.9
Accumulated Amortization	(2.3)	(2.4)
Other
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value	8.1	8.2
Accumulated Amortization	$ (3.9)	$ (3.9)

Accumulated amount of amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life.

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 350
-SubTopic 30
-Section 50
-Paragraph 2
-Subparagraph (a)(1)
-URI http://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275

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Amount before amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 928
-SubTopic 340
-Section 50
-Paragraph 1
-URI http://asc.fasb.org/extlink&oid=6473545&loc=d3e61844-108004

Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef
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-Topic 350
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-Section 50
-Paragraph 2
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Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

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Carrying amount (original costs adjusted for previously recognized amortization and impairment) as of the balance sheet date for the rights acquired through registration of a trademark to gain or protect exclusive use of a business name, symbol or other device or style for a projected indefinite period of benefit.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 350
-SubTopic 30
-Section 50
-Paragraph 2
-Subparagraph (b)
-URI http://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275

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Amount before accumulated amortization of intangible assets, excluding goodwill.

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