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Supplementary Balance Sheet Information (Narrative) (Details) - USD ($) $ in Millions	12 Months Ended
	Sep. 30, 2023	Sep. 24, 2022	Sep. 25, 2021
Supplementary Balance Sheet Information [Abstract]
Employee insurance expense	$ 35.2	$ 37.0	$ 35.5

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- References

No definition available.

+ Details

Name:	imkta_SupplementaryBalanceSheetInformationAbstract
Namespace Prefix:	imkta_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

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- Definition

The expense in the period incurred with respect to protection provided by insurance entities against risks other than risks associated with production (which are allocated to cost of sales).

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Topic 220
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 2
-Subparagraph (SX 210.5-03.4)
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147483621/220-10-S99-2

+ Details

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