<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0206</schemaVersion>

    <documentType>3</documentType>

    <periodOfReport>2021-10-26</periodOfReport>

    <noSecuritiesOwned>0</noSecuritiesOwned>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001821976</rptOwnerCik>
            <rptOwnerName>Fleiss Jennifer</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>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>626281</value>
                    <footnoteId id="F1"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Includes 20,640 restricted stock units (&quot;RSUs&quot;), each of which represents a contingent right to receive one share of the Issuer's Common Stock.  The RSUs vest in six substantially equal quarterly installments commencing on November 1, 2021.  The RSUs have no expiration date.</footnote>
    </footnotes>

    <remarks>Exhibit 24.1 - Power of Attorney.</remarks>

    <ownerSignature>
        <signatureName>/s/ Cara Schembri as Attorney-in-fact for Jennifer Fleiss</signatureName>
        <signatureDate>2021-10-26</signatureDate>
    </ownerSignature>
</ownershipDocument>
