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Income Taxes - Additional Information (Details) - USD ($) $ in Thousands | 3 Months Ended | 9 Months Ended
--- | --- | ---
Mar. 28, 2021 | Mar. 28, 2021
Income Tax Disclosure [Abstract] |  |
Discrete tax expense (benefit) | $ 273 | $ (4,874)
Change in valuation allowance income tax (benefit) expense | $ (133) | $ 1,508

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- Definition Change in valuation allowance income tax expense benefit. + References No definition available. + Details
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Namespace Prefix: | ufi_
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Balance Type: | debit
Period Type: | duration

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- Definition Global intangible low tax income measurement period adjustment income tax expense benefit. + References No definition available. + Details
Name: | ufi_GlobalIntangibleLowTaxIncomeMeasurementPeriodAdjustmentIncomeTaxExpenseBenefit
Namespace Prefix: | ufi_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- References No definition available. + Details
Name: | us-gaap_IncomeTaxDisclosureAbstract
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration