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Goodwill and Other Intangible Assets - Other Intangible Assets by Major Class (Details) - USD ($) $ in Millions	Oct. 02, 2021	Jan. 02, 2021
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value	$ 449.1	$ 440.8
Non-amortized trademarks	126.5	129.6
Total other intangible assets	575.6	570.4
Accumulated Amortization	(326.0)	(309.6)
Customer relationships
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value	190.0	191.5
Accumulated Amortization	(137.8)	(130.1)
Developed technology
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value	21.8	21.8
Accumulated Amortization	(20.6)	(19.9)
Internally developed software
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value	180.7	172.2
Accumulated Amortization	(136.2)	(128.0)
Patents
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value	44.4	43.2
Accumulated Amortization	(25.0)	(25.3)
Trademarks
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value	4.0	3.9
Accumulated Amortization	(2.4)	(2.4)
Other
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value	8.2	8.2
Accumulated Amortization	$ (4.0)	$ (3.9)

X

- Definition

Accumulated amount of 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 350
-SubTopic 30
-Section 50
-Paragraph 2
-Subparagraph (a)(1)
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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
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- Definition

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

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Amount before accumulated amortization of intangible assets, excluding goodwill.

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