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Income Taxes (Narrative) (Details) $ in Millions	Sep. 28, 2025 USD ($)
Income Tax Disclosure [Abstract]
State net operating loss carryforwards	$ 10.6
State net operating loss carryforwards, not subject to expiration	$ 8.6

X

- Definition

Deferred Tax Assets, Operating Loss Carryforwards, State and Local, Not Subject to Expiration

+ References

No definition available.

+ Details

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

X

- Definition

Amount before allocation of valuation allowances of deferred tax asset attributable to deductible state and local operating loss carryforwards.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 740
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 6
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482685/740-10-50-6

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

X

- References

No definition available.

+ Details

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