Goodwill and Other Intangible Assets - Other Intangible Assets by Major Class (Details) - USD ($) $ in Millions	Oct. 01, 2022	Jan. 01, 2022
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value	$ 479.8	$ 495.0
Non-amortized trademarks	128.3	142.6
Total other intangible assets	608.1	637.6
Accumulated Amortization	(336.8)	(335.9)
Customer relationships
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value	207.6	217.8
Accumulated Amortization	(145.0)	(142.1)
Developed technology
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value	35.1	36.6
Accumulated Amortization	(24.3)	(23.2)
Internally developed software
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value	178.5	182.7
Accumulated Amortization	(136.7)	(139.1)
Patents
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value	47.4	45.7
Accumulated Amortization	(24.7)	(25.1)
Trademarks
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value	3.8	3.9
Accumulated Amortization	(2.3)	(2.3)
Other
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value	7.4	8.3
Accumulated Amortization	$ (3.8)	$ (4.1)

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
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-URI https://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 210
-SubTopic 10
-Section S99
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-Subparagraph (SX 210.5-02(16))
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Amount before amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life.

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Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 928
-SubTopic 340
-Section 50
-Paragraph 1
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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.

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Amount before accumulated amortization of intangible assets, excluding goodwill.

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Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
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