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Note 8 - Long-term Debt - Amortization of Financing Costs (Details) $ in Thousands | Oct. 02, 2021 USD ($)
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2022, Amortization | $ 65
2023, Amortization | 65
2024, Amortization | $ 41

X
- Definition The amount of amortization costs in the next 12 months. + References No definition available. + Details
Name: | iiin_AmortizationOfFinancingCostsNext12Months
Namespace Prefix: | iiin_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

X
- Definition The amount of amortization costs in year 2. + References No definition available. + Details
Name: | iiin_AmortizationOfFinancingCostsYear2
Namespace Prefix: | iiin_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

X
- Definition The amount of amortization costs in year 3. + References No definition available. + Details
Name: | iiin_AmortizationOfFinancingCostsYear3
Namespace Prefix: | iiin_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant