<?xml version="1.0"?>
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    <periodOfReport>2021-10-29</periodOfReport>

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    <issuer>
        <issuerCik>0001468327</issuerCik>
        <issuerName>Rent the Runway, Inc.</issuerName>
        <issuerTradingSymbol>RENT</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001888484</rptOwnerCik>
            <rptOwnerName>Tam Sarah K</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O RENT THE RUNWAY, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>10 JAY STREET</rptOwnerStreet2>
            <rptOwnerCity>BROOKLYN</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>11201</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Chief Merchant Officer</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

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    <footnotes>
        <footnote id="F1">Immediately prior to the completion of the Issuer's initial public offering, each share of Common Stock was reclassified into one share of Class A Common Stock in an exempt transaction pursuant to Rule 16b-7.</footnote>
        <footnote id="F2">The option is fully vested and exercisable</footnote>
        <footnote id="F3">The option vests and becomes exercisable as to 25% of the underlying shares on July 3, 2020 and in 36 substantially equal monthly installments thereafter.</footnote>
        <footnote id="F4">The option vests and becomes exercisable as to 25% of the underlying shares on March 1, 2022 and in 36 substantially equal monthly installments thereafter.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Cara Schembri as Attorney-in-fact for Sarah K. Tam</signatureName>
        <signatureDate>2021-11-02</signatureDate>
    </ownerSignature>
</ownershipDocument>
