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Note 8 - Long-term Debt - Amortization of Financing Costs (Details) $ in Thousands	Sep. 28, 2024 USD ($)
2025	$ 50
2026	51
2027	50
2028	23
2029	$ 0

The amount of amortization costs in the next 12 months.

No definition available.

Name:	iiin_AmortizationOfFinancingCostsNext12Months
Namespace Prefix:	iiin_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

The amount of amortization costs in year 2.

No definition available.

Name:	iiin_AmortizationOfFinancingCostsYear2
Namespace Prefix:	iiin_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

The amount of amortization costs in year 3.

No definition available.

Name:	iiin_AmortizationOfFinancingCostsYear3
Namespace Prefix:	iiin_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

No definition available.

Name:	iiin_AmortizationOfFinancingCostsYear4
Namespace Prefix:	iiin_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

The amount of amortization costs in year 5.

No definition available.

Name:	iiin_AmortizationOfFinancingCostsYear5
Namespace Prefix:	iiin_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant