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REVENUE - Narrative (Details) $ in Millions	4 Months Ended
	Jan. 18, 2026 USD ($)
Revenue from Contract with Customer [Abstract]
Term of franchise	20 years
Development fees	$ 4.0

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- Definition

Contract With Customer, Liability, Development Fees For Unopened Stores

+ References

No definition available.

+ Details

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Namespace Prefix:	jack_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

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- Definition

Contract With Customer, Liability, Initial Franchise Fees, Term

+ References

No definition available.

+ Details

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Namespace Prefix:	jack_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

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- References

No definition available.

+ Details

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