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Indebtedness (Scheduled Principal Payments of Long-Term Debt) (Details) - USD ($) $ in Thousands | Sep. 28, 2025 | Sep. 29, 2024
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Debt Disclosure [Abstract] |  |
2026 | $ 289,364 |
2027 | 516,034 |
2028 | 15,538 |
2029 | 427,292 |
2030 | 11,046 |
Thereafter | 456,592 |
Total debt | $ 1,715,866 | $ 1,751,538

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- Definition Long-term Debt and Lease Obligations, Maturities, Repayments of Principal after Year Five + References No definition available. + Details
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- Definition Long-term Debt and Lease Obligations, Maturities, Repayments of Principal in Year Five + References No definition available. + Details
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Namespace Prefix: | jack_
Data Type: | xbrli:monetaryItemType
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- Definition Long-term Debt and Lease Obligations, Maturities, Repayments of Principal in Year Four + References No definition available. + Details
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Namespace Prefix: | jack_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
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- Definition Long-term Debt and Lease Obligations, Maturities, Repayments of Principal in Year Three + References No definition available. + Details
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Data Type: | xbrli:monetaryItemType
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- Definition Long-term Debt and Lease Obligations, Maturities, Repayments of Principal in Year Two + References No definition available. + Details
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Data Type: | xbrli:monetaryItemType
Balance Type: | credit
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- Definition Long-term Debt and Lease Obligations, Repayments of Principal in Next Twelve Months + References No definition available. + Details
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Namespace Prefix: | jack_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
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- Definition Long-term Debt, Gross And Lease Obligation + References No definition available. + Details
Name: | jack_LongTermDebtGrossAndLeaseObligation
Namespace Prefix: | jack_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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- References No definition available. + Details
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Namespace Prefix: | us-gaap_
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Balance Type: | na
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