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Credit Losses - Allowance for Credit Losses Related to Trade Accounts Receivable (Details) - USD ($) $ in Millions	3 Months Ended	12 Months Ended
	Oct. 03, 2021	Jan. 01, 2023	Jan. 02, 2022	Jan. 03, 2021
Allowance for credit losses:
Beginning balance		$ 9.4	$ 9.8	$ 9.7
Current period provision		1.3	1.3	2.0
Currency exchange effects		(0.2)	(0.5)	0.1
Write-offs	$ (0.6)	(2.8)	(1.2)	(2.3)
Ending balance		7.7	9.4	9.8
Impact of adopting ASC 326		$ 0.0	$ 0.0	$ 0.3

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- Definition

Accounts Receivable, Allowance for Credit Loss, Current Exchange Effects

+ References

No definition available.

+ Details

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- Definition

Accounts Receivable, Current Period Provision

+ References

No definition available.

+ Details

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X

- Definition

Amount of expense (reversal of expense) for expected credit loss on accounts receivable from change in methodology.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 326
-SubTopic 20
-Section 50
-Paragraph 11
-Subparagraph (e)
-URI https://asc.fasb.org/extlink&oid=124255953&loc=SL82919244-210447

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- Definition

Amount of allowance for credit loss on accounts receivable.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 326
-SubTopic 20
-Section 50
-Paragraph 13
-Subparagraph (a)
-URI https://asc.fasb.org/extlink&oid=124255953&loc=SL82919249-210447

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 310
-SubTopic 10
-Section 50
-Paragraph 4
-URI https://asc.fasb.org/extlink&oid=123577603&loc=d3e5074-111524

Reference 3: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 326
-SubTopic 20
-Section 50
-Paragraph 13
-Subparagraph (f)
-URI https://asc.fasb.org/extlink&oid=124255953&loc=SL82919249-210447

Reference 4: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 326
-SubTopic 20
-Section 45
-Paragraph 1
-URI https://asc.fasb.org/extlink&oid=124255206&loc=SL82895884-210446

Reference 5: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 210
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02(4))
-URI https://asc.fasb.org/extlink&oid=120391452&loc=d3e13212-122682

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- Definition

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 of direct write-downs of accounts receivable charged against the allowance.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 326
-SubTopic 20
-Section 50
-Paragraph 13
-Subparagraph (d)
-URI https://asc.fasb.org/extlink&oid=124255953&loc=SL82919249-210447

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