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Subsequent Events (Narrative) (Details) - Hurricane Helene [Member] - USD ($) $ in Thousands |  | 12 Months Ended
--- | --- | ---
May 01, 2025 | Sep. 27, 2025
Subsequent Event [Line Items] |  |
Insurance proceeds |  | $ 1,500
Partial insurance payment received | $ 4,200 |
Additional insurance payment received |  | $ 500

X
- Definition Unusual or infrequent item, or both, additional insurance payment received. + References No definition available. + Details
Name: | imkta_UnusualOrInfrequentItemOrBothAdditionalInsurancePaymentRecevied
Namespace Prefix: | imkta_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

X
- Definition Unusual or infrequent item, or both, partial insurance payment recevied. + References No definition available. + Details
Name: | imkta_UnusualOrInfrequentItemOrBothPartialInsurancePaymentRecevied
Namespace Prefix: | imkta_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

X
- Definition Detail information of subsequent event by type. User is expected to use existing line items from elsewhere in the taxonomy as the primary line items for this disclosure, which is further associated with dimension and member elements pertaining to a subsequent event. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 830 -SubTopic 30 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Publisher FASB -URI https://asc.fasb.org/1943274/2147481674/830-30-50-2 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Topic 855 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Publisher FASB -URI https://asc.fasb.org/1943274/2147483399/855-10-50-2 + Details
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Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

X
- Definition Amount of insurance proceeds for an event or transaction that is unusual in nature or infrequent in occurrence, or both. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Topic 220 -SubTopic 20 -Name Accounting Standards Codification -Section 50 -Paragraph 1 -Publisher FASB -URI https://asc.fasb.org/1943274/2147483613/220-20-50-1 + Details
Name: | us-gaap_UnusualOrInfrequentItemInsuranceProceeds
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

X
- Details
Name: | us-gaap_UnusualRiskOrUncertaintyByNatureAxis=imkta_HurricaneHeleneMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |