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Commitments and Contingencies (Narrative) (Details) $ in Millions	12 Months Ended
	Sep. 28, 2024 USD ($)
Commitments and Contingencies [Abstract]
Construction commitments	$ 8.9
Supply contracts to provide fuel sold in its fuel centers, percent	87.00%

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- Definition

Construction Commitments

+ References

No definition available.

+ Details

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

X

- Definition

Supply Contracts To Provide Fuel Sold In Its Fuel Centers Percent

+ References

No definition available.

+ Details

Name:	imkta_SupplyContractsToProvideFuelSoldInItsFuelCentersPercent
Namespace Prefix:	imkta_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

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- References

No definition available.

+ Details

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