Contingencies (Details) $ in Millions	12 Months Ended
Jan. 01, 2022 USD ($) inventory_pool subsidiary	Jan. 02, 2021 USD ($)
Commitments and Contingencies Disclosure [Abstract]
Number of subsidiaries involved in litigation \| subsidiary	1
Purchase price	$ 900.0
Loss contingency, full amount paid	100.00%	100.00%
Number of claims \| inventory_pool	300
Movement in Standard Product Warranty Accrual [Roll Forward]
Beginning Balance	$ 15.5	$ 15.1
Less: Payments	19.2	16.7
Provisions	20.5	16.9
Acquisitions	6.3	0.0
Translation Adjustments	(0.1)	0.2
Ending Balance	$ 23.0	$ 15.5

Loss Contingency, Full Amount Paid

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- Definition

Number of Subsidiaries Involved in Litigation

+ References

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- Definition

The minimum amount the entity agreed to spend under the long-term purchase commitment.

+ References

No definition available.

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- Definition

The number of claims settled and dismissed during the period.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 450
-SubTopic 20
-Section 50
-Paragraph 4
-Subparagraph (a)
-URI http://asc.fasb.org/extlink&oid=121557415&loc=d3e14435-108349

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A roll forward is a reconciliation of a concept from the beginning of a period to the end of a period.

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No definition available.

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- Definition

Amount as of the balance sheet date of the aggregate standard product warranty liability. Does not include the balance for the extended product warranty liability.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 460
-SubTopic 10
-Section 50
-Paragraph 8
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-URI http://asc.fasb.org/extlink&oid=123368208&loc=d3e12565-110249

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Amount of increase in the standard product warranty accrual from a business acquisition. Excludes extended product warranties.

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Amount of foreign currency translation gain (loss) which decreases (increases) the standard product warranty accrual. Excludes extended product warranties.

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Amount of decrease in the standard product warranty accrual from payments made in cash or in kind to satisfy claims under the terms of the standard product warranty. Excludes extended product warranties.

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Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
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Amount of increase in the standard product warranty accrual from warranties issued. Excludes extended product warranties.

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