Debt (Narrative) (Details)	6 Months Ended
Jul. 01, 2022 USD ($)
Secured Debt \| Senior secured term loan A
Debt Instrument [Line Items]
Debt instrument term	5 years
Debt weighted average interest rate	3.17%
Secured Debt \| Senior secured term loan B
Debt Instrument [Line Items]
Debt instrument term	7 years
Discount percentage	0.50%
Debt weighted average interest rate	4.17%
Secured Debt \| Senior secured term loan B \| London Interbank Offered Rate One- Month (LIBOR)
Debt Instrument [Line Items]
Variable rate basis spread	2.50%
Interest rate floor	0.50%
Secured Debt \| Senior secured term loan B \| Base rate
Debt Instrument [Line Items]
Variable rate basis spread	1.50%
Revolving Credit Facility
Debt Instrument [Line Items]
Debt weighted average interest rate	3.21%
Revolving Credit Facility \| Line of Credit
Debt Instrument [Line Items]
Debt instrument term	5 years
Remaining borrowing capacity	$ 249,200,000
Commitment fee on unused portion	0.18%
Revolving Credit Facility \| Line of Credit \| Minimum
Debt Instrument [Line Items]
Commitment fee on unused portion	0.15%
Revolving Credit Facility \| Line of Credit \| Maximum
Debt Instrument [Line Items]
Commitment fee on unused portion	0.25%
Revolving Credit Facility \| Line of Credit \| London Interbank Offered Rate One- Month (LIBOR) \| Minimum
Debt Instrument [Line Items]
Variable rate basis spread	1.25%
Revolving Credit Facility \| Line of Credit \| London Interbank Offered Rate One- Month (LIBOR) \| Maximum
Debt Instrument [Line Items]
Variable rate basis spread	2.25%
Revolving Credit Facility \| Line of Credit \| Senior secured term loan A
Debt Instrument [Line Items]
Credit facility maximum borrowing capacity	$ 400,000,000
Revolving Credit Facility \| Line of Credit \| Senior secured term loan A \| London Interbank Offered Rate One- Month (LIBOR)
Debt Instrument [Line Items]
Variable rate basis spread	1.00%
Revolving Credit Facility \| Line of Credit \| Senior secured term loan A \| Base rate \| Minimum
Debt Instrument [Line Items]
Variable rate basis spread	0.25%
Revolving Credit Facility \| Line of Credit \| Senior secured term loan A \| Base rate \| Maximum
Debt Instrument [Line Items]
Variable rate basis spread	1.25%
Revolving Credit Facility \| Line of Credit \| Senior secured term loan A \| Federal funds rate
Debt Instrument [Line Items]
Variable rate basis spread	0.50%
Revolving Credit Facility \| Secured Debt \| Senior secured term loan A
Debt Instrument [Line Items]
Interest expense ratio	2.50
Revolving Credit Facility \| Secured Debt \| Senior secured term loan A \| Through Maturity
Debt Instrument [Line Items]
Net leverage ratio incremental increase option	5.50
Revolving Credit Facility \| Secured Debt \| Senior secured term loan A \| Third Fiscal Quarter of 2023
Debt Instrument [Line Items]
Net leverage ratio incremental increase option	5.00
Swingline loans \| Line of Credit
Debt Instrument [Line Items]
Credit facility maximum borrowing capacity	$ 40,000,000
Standby Letters of Credit
Debt Instrument [Line Items]
Letters of credit outstanding amount	$ 5,500,000

Debt Instrument, Covenant, Adjusted EBITDA To Interest Expense Ratio

No definition available.

Name:	itgr_DebtInstrumentCovenantAdjustedEBITDAToInterestExpenseRatio
Namespace Prefix:	itgr_
Data Type:	xbrli:pureItemType
Balance Type:	na
Period Type:	duration

- Definition

Debt Instrument, Covenant, Maximum Leverage Ratio

+ References

No definition available.

+ Details

Name:	itgr_DebtInstrumentCovenantMaximumLeverageRatio
Namespace Prefix:	itgr_
Data Type:	xbrli:pureItemType
Balance Type:	na
Period Type:	duration

- Definition

Debt Instrument, Discount, Percentage

+ References

No definition available.

+ Details

Name:	itgr_DebtInstrumentDiscountPercentage
Namespace Prefix:	itgr_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

Debt Instrument, Interest Rate, Floor

+ References

No definition available.

+ Details

Name:	itgr_DebtInstrumentInterestRateFloor
Namespace Prefix:	itgr_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

Percentage points added to the reference rate to compute the variable rate on the debt instrument.

+ References

No definition available.

+ Details

Name:	us-gaap_DebtInstrumentBasisSpreadOnVariableRate1
Namespace Prefix:	us-gaap_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

+ References

No definition available.

+ Details

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

- Definition

Period of time between issuance and maturity of debt instrument, in PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

+ References

No definition available.

+ Details

Name:	us-gaap_DebtInstrumentTerm
Namespace Prefix:	us-gaap_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

- Definition

Weighted average interest rate of debt outstanding.

+ References

No definition available.

+ Details

Name:	us-gaap_DebtWeightedAverageInterestRate
Namespace Prefix:	us-gaap_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	instant

- Definition

The total amount of the contingent obligation under letters of credit outstanding as of the reporting date.

+ References

No definition available.

+ Details

Name:	us-gaap_LettersOfCreditOutstandingAmount
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Maximum borrowing capacity under the credit facility without consideration of any current restrictions on the amount that could be borrowed or the amounts currently outstanding under the facility.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 210
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02.19(b),22(b))
-URI https://asc.fasb.org/extlink&oid=120391452&loc=d3e13212-122682

+ Details

Name:	us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Amount of borrowing capacity currently available under the credit facility (current borrowing capacity less the amount of borrowings outstanding).

+ References

+ Details

Name:	us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

The fee, expressed as a percentage of the line of credit facility, for available but unused credit capacity under the credit facility.

+ References

No definition available.

+ Details

Name:	us-gaap_LineOfCreditFacilityUnusedCapacityCommitmentFeePercentage
Namespace Prefix:	us-gaap_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

- Details

Name:	us-gaap_LongtermDebtTypeAxis=us-gaap_SecuredDebtMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_DebtInstrumentAxis=itgr_TermLoanATLAFacilityMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_DebtInstrumentAxis=itgr_TermLoanBTLBFacilityMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_VariableRateAxis=itgr_LondonInterbankOfferedRateOneMonthLIBORMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_VariableRateAxis=us-gaap_BaseRateMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_CreditFacilityAxis=us-gaap_RevolvingCreditFacilityMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_LongtermDebtTypeAxis=us-gaap_LineOfCreditMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	srt_RangeAxis=srt_MinimumMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	srt_RangeAxis=srt_MaximumMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_VariableRateAxis=us-gaap_FederalFundsEffectiveSwapRateMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	itgr_DebtInstrumentCovenantPeriodAxis=itgr_DebtInstrumentCovenantPeriodOneMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	itgr_DebtInstrumentCovenantPeriodAxis=itgr_DebtInstrumentCovenantPeriodTwoMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_CreditFacilityAxis=us-gaap_BridgeLoanMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_CreditFacilityAxis=us-gaap_StandbyLettersOfCreditMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: