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SUPPLEMENTAL FINANCIAL STATEMENT DISCLOSURES - Narrative (Details) - USD ($) $ in Millions	3 Months Ended
	Apr. 03, 2026	Mar. 28, 2025
Supplemental Cash Flow Elements [Abstract]
Accounts receivable sold	$ 10.1	$ 58.1
Factoring fee	0.1	0.4
Accounts receivable derecognized	41.8	39.9
Costs associated with supplier financing arrangements	$ 0.5	$ 0.5

X

- Definition

Transfer Of Financial Assets Accounted For As Sales, Factoring Fee

+ References

No definition available.

+ Details

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Namespace Prefix:	itgr_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Definition

Amount of decrease from sale of accounts receivable.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 326
-SubTopic 20
-Name Accounting Standards Codification
-Section 50
-Paragraph 11
-Subparagraph (i)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479319/326-20-50-11

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

X

- References

No definition available.

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Amount of decrease in obligation for supplier finance program from settlement.

+ References

Reference 1: http://www.xbrl.org/2003/role/exampleRef
-Topic 405
-SubTopic 50
-Name Accounting Standards Codification
-Section 55
-Paragraph 5
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147477128/405-50-55-5

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Topic 405
-SubTopic 50
-Name Accounting Standards Codification
-Section 50
-Paragraph 3
-Subparagraph (b)(2)(iii)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479468/405-50-50-3

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Definition

Amount of derecognized financial assets from transactions which comprise an initial transfer and an agreement entered into in contemplation of the initial transfer resulting in retention of substantially all of the exposure to the economic return throughout the term of the transaction, at the date of derecognition.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Section 50
-Paragraph 4D
-Subparagraph (a)
-SubTopic 20
-Topic 860
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147481326/860-20-50-4D

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Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant