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      id="a1b02eda-86d3-40c0-b78f-c493785285ed">&lt;span style="color:#000000;font-family:Arial;font-size:13pt;font-weight:bold;"&gt;Fund Summary&lt;/span&gt;</rr:RiskReturnHeading>
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      id="edb1d0ca-8c15-4a57-a10f-e6c550dea899">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;The Fund seeks to track the performance of a benchmark index that measures the investment return of stocks issued by companies located in Canada and the major markets of Europe and the Pacific region.&lt;/span&gt;</rr:ObjectivePrimaryTextBlock>
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      id="x_345f6a6b-b005-4321-aafd-acea5518d79c">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;The following tables describe the fees and expenses you may pay if you buy, hold, and sell Investor Shares of the Fund. &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-weight:bold;"&gt;You may pay other fees, such as brokerage commissions and other fees to financial intermediaries, which are not reflected in the tables and example below.&lt;/span&gt;</rr:ExpenseNarrativeTextBlock>
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      id="dec2f0e6-9a89-4cec-badc-e2b84393725a">&lt;span style="color:#000000;font-family:Arial;font-size:8.5pt;font-weight:bold;"&gt;Annual Fund Operating Expenses&lt;/span&gt;
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      id="x_00e10e3b-7e8a-4e54-88c1-6824129f6a87">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Example&lt;/span&gt;</rr:ExpenseExampleHeading>
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      id="x_4dd6bb3d-01df-4084-a461-58c40906e4bb">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;The following example is intended to help you compare the cost of investing in the Fund&#x2019;s Investor Shares with the cost of investing in other mutual funds. It illustrates the hypothetical expenses that you would incur over various periods if you were to invest $10,000 in the Fund&#x2019;s shares. This example assumes that the shares provide a return of 5% each year and that total annual fund operating expenses remain as stated in the preceding table. You would incur these hypothetical expenses whether or not you were to redeem your investment at the end of the given period. Although your actual costs may be higher or lower, based on these assumptions your costs would be:&lt;/span&gt;</rr:ExpenseExampleNarrativeTextBlock>
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      unitRef="USD">205</rr:ExpenseExampleYear10>
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      id="x_3747a963-201b-4c7e-8754-1bcb8f88015a">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Portfolio Turnover&lt;/span&gt;</rr:PortfolioTurnoverHeading>
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      contextRef="InvestorMember_S000004386"
      id="ad2d0f1f-4937-472f-a7e2-6ef0e5609a80">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;The Fund pays transaction costs, such as commissions, when it buys and sells securities (or &#x201c;turns over&#x201d; its portfolio). A higher portfolio turnover rate may indicate higher transaction costs and may result in more taxes when Fund shares are held in a taxable account. These costs, which are not reflected in annual fund operating expenses or in the previous expense example, reduce the Fund&#x2019;s performance. During the most recent fiscal year, the Fund&#x2019;s portfolio turnover rate was &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;3&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;% of the average value of its portfolio.&lt;/span&gt;</rr:PortfolioTurnoverTextBlock>
    <rr:PortfolioTurnoverRate
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      decimals="4"
      id="x_95753238-983c-4db4-8b59-0c58291ea929"
      unitRef="pure">0.03</rr:PortfolioTurnoverRate>
    <rr:StrategyHeading
      contextRef="InvestorMember_S000004386"
      id="x_07f907c3-2bb8-4f37-9e60-a22f5a20b22e">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Principal Investment Strategies&lt;/span&gt;</rr:StrategyHeading>
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      contextRef="InvestorMember_S000004386"
      id="bd33b125-75f8-48f7-830c-285318561c19">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;The Fund employs an indexing investment approach designed to track the performance of the FTSE Developed All Cap ex US Index (the Index), a market-capitalization-weighted index that as of December 31, 2024, is made up of approximately 3,909 common stocks of large-, mid-, and small-cap companies located in Canada and the major markets of Europe and the Pacific region. The Fund attempts to replicate the target index by investing all, or substantially all, of its assets in the stocks that make up the Index, holding each stock in approximately the same proportion as its weighting in the Index.&lt;/span&gt;</rr:StrategyNarrativeTextBlock>
    <rr:RiskHeading
      contextRef="InvestorMember_S000004386"
      id="x_8ab1978b-855d-40a3-ac0e-f86d3c979907">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Principal Risks&lt;/span&gt;</rr:RiskHeading>
    <rr:RiskTextBlock
      contextRef="InvestorMember_S000004386"
      id="x_312e2ff2-f349-4f26-a410-1c273479eb76">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;An investment in the Fund could lose money over short or long periods of time.&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;You should expect the Fund&#x2019;s share price and total return to fluctuate within a wide range. The Fund is subject to the following risks, which could affect the Fund&#x2019;s performance:&lt;/span&gt;</rr:RiskTextBlock>
    <rr:RiskTextBlock
      contextRef="InvestorMember_S000004386_RiskLoseMoneyMember"
      id="x_8721dce5-5eb5-478f-ba2e-efd206536fe3">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;An investment in the Fund could lose money over short or long periods of time.&lt;/span&gt;</rr:RiskTextBlock>
    <rr:RiskTextBlock
      contextRef="InvestorMember_S000004386_StockMarketRiskMember"
      id="x_4a82f770-687a-4807-89f9-10f4ad769a6e">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Stock market risk&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;, which is the chance that stock prices overall will decline. Stock markets tend to move in cycles, with periods of rising prices and periods of falling prices. The Fund&#x2019;s investments in foreign stocks can be riskier than U.S. &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;stock investments. Foreign stocks may be more volatile and less liquid than U.S. stocks. The prices of foreign stocks and the prices of U.S. stocks may move in opposite directions. In addition, the Fund&#x2019;s target index may, at times, become focused in stocks of a particular market sector, which would subject the Fund to proportionately higher exposure to the risks of that sector.&lt;/span&gt;</rr:RiskTextBlock>
    <rr:RiskTextBlock
      contextRef="InvestorMember_S000004386_CountryRegionalRiskMember"
      id="d0bea7bc-e43a-44c7-a27d-100bd5e4b046">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Country/regional risk&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;, which is the chance that world events&#x2014;such as political upheaval, financial troubles, or natural disasters&#x2014;will adversely affect the value of securities issued by companies in foreign countries or regions. Because the Fund may invest a large portion of its assets in securities of companies located in any one country or region, the Fund&#x2019;s performance may be hurt disproportionately by the poor performance of its investments in that area. Significant investments in Japan and the United Kingdom (U.K.) subject the Index and the Fund to proportionately higher exposure to Japanese and U.K. country risk.&lt;/span&gt;</rr:RiskTextBlock>
    <rr:RiskTextBlock
      contextRef="InvestorMember_S000004386_InvestmentStyleRiskMember"
      id="x_55f53ce8-61c5-4a77-bbe8-1869eb9235f9">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Investment style risk&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;, which is the chance that returns from non-U.S. small and mid-capitalization stocks will trail returns from global stock markets. Historically, non-U.S. small- and mid-capitalization stocks will trail returns from global stock markets. Historically, non-U.S. small- and mid-cap stocks have been more volatile in price than the large-cap stocks that dominate the global markets, and they often perform quite differently. The stock prices of small and mid-size companies tend to experience greater volatility because, among other things, these companies tend to be more sensitive to changing economic conditions.&lt;/span&gt;</rr:RiskTextBlock>
    <rr:RiskTextBlock
      contextRef="InvestorMember_S000004386_CurrencyRiskMember"
      id="x_0f3a9ee5-88bc-4655-adbe-9cc8fe03c016">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Currency risk&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;, which is the chance that the value of a foreign investment, measured in U.S. dollars, will decrease because of unfavorable changes in currency exchange rates.&lt;/span&gt;</rr:RiskTextBlock>
    <rr:RiskTextBlock
      contextRef="InvestorMember_S000004386_indexrelatedMember"
      id="x_074ace37-f4a1-4967-a787-34651a79e0c2">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Index-related risks.&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt; The Fund is subject to risks associated with index investing, which include passive management risk, tracking error risk, and index provider risk. Passive management risk is the chance that the Fund&#x2019;s use of an indexing strategy will negatively impact the Fund&#x2019;s performance. Because the Fund seeks to track the performance of its target index regardless of how that index is performing, the Fund&#x2019;s performance may be lower than it would be if the Fund were actively managed. Tracking error risk is the chance that the Fund&#x2019;s performance will deviate from the performance of its target index. Tracking error risk may be heightened during times of increased market volatility or under other unusual market conditions. Index provider risk is the chance that the Fund will be negatively impacted by changes or errors made by the index provider. Any gains, losses, or costs associated with or resulting from an error made by the index provider will generally be borne by the Fund and, as a result, the Fund&#x2019;s shareholders.&lt;/span&gt;</rr:RiskTextBlock>
    <rr:RiskTextBlock
      contextRef="InvestorMember_S000004386_IndexReplicatingRiskMember"
      id="x_1be75c31-650e-4ea9-9ffa-2f4bef6a4117">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Index replicating risk&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;, which is the chance that the Fund may be prevented from holding one or more securities in the same proportion as in its target index.&lt;/span&gt;</rr:RiskTextBlock>
    <rr:RiskTextBlock
      contextRef="InvestorMember_S000004386_RiskNotInsuredDepositoryInstitutionMember"
      id="f036236a-0a61-4452-865f-aea28d0060b9">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-weight:bold;"&gt;An investment in the Fund is not a deposit of a bank and is not insured or guaranteed by the Federal Deposit Insurance Corporation or any other government agency.&lt;/span&gt;</rr:RiskTextBlock>
    <rr:BarChartAndPerformanceTableHeading
      contextRef="InvestorMember_S000004386"
      id="x_7b9eb87f-d978-4d2f-a5c7-06caad86efa7">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Annual Total Returns&lt;/span&gt;</rr:BarChartAndPerformanceTableHeading>
    <rr:PerformanceNarrativeTextBlock
      contextRef="InvestorMember_S000004386"
      id="x_73dbe2ce-4caf-4e1e-9a33-f68507e0d63f">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;The following bar chart and table are intended to help you understand the risks of investing in the Fund. The bar chart shows how the performance of the Fund&#x2019;s Investor Shares has varied from one calendar year to another over the periods shown. The table shows how the average annual total returns of the Investor Shares compare with those of the Fund&#x2019;s target index and other comparative indexes, which have investment characteristics similar to those of the Fund.&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt; The &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;Spliced Developed ex US Index reflects the performance of the FTSE Developed ex North America Index through December 20, 2015; the FTSE Developed All Cap ex US Transition Index through May 31, 2016; and the FTSE Developed All Cap ex US Index thereafter. Returns for the indexes shown are adjusted for withholding taxes applicable to U.S.-based mutual funds organized as Delaware statutory trusts. &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;Keep in mind that the Fund&#x2019;s past performance (before and after &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;taxes) does not indicate how the Fund will perform in the future.&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt; Updated &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;performance information is available on our website at &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;vanguard.com/performance&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;.&lt;/span&gt;</rr:PerformanceNarrativeTextBlock>
    <rr:PerformanceInformationIllustratesVariabilityOfReturns
      contextRef="InvestorMember_S000004386"
      id="x_5b589234-432e-433c-93d0-c1f56604377f">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;The following bar chart and table are intended to help you understand the risks of investing in the Fund. The bar chart shows how the performance of the Fund&#x2019;s Investor Shares has varied from one calendar year to another over the periods shown. The table shows how the average annual total returns of the Investor Shares compare with those of the Fund&#x2019;s target index and other comparative indexes, which have investment characteristics similar to those of the Fund.&lt;/span&gt;</rr:PerformanceInformationIllustratesVariabilityOfReturns>
    <rr:PerformancePastDoesNotIndicateFuture
      contextRef="InvestorMember_S000004386"
      id="x_35517a3c-aea8-4bf7-8b86-e5611c7d8d8b">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;Keep in mind that the Fund&#x2019;s past performance (before and after &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;taxes) does not indicate how the Fund will perform in the future.&lt;/span&gt;</rr:PerformancePastDoesNotIndicateFuture>
    <rr:PerformanceAvailabilityWebSiteAddress
      contextRef="InvestorMember_S000004386"
      id="x_0fd3b05e-01a8-4b1f-bc6e-f84d24d0e353">&lt;span style="font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;vanguard.com/performance&lt;/span&gt;</rr:PerformanceAvailabilityWebSiteAddress>
    <rr:BarChartHeading
      contextRef="InvestorMember_S000004386"
      id="x_1260dc53-fd8e-4f9e-9289-d79107e2c91c">&lt;span style="font-family:Arial;font-size:8pt;font-weight:bold;"&gt;Annual Total Returns &#x2014; Vanguard Developed Markets Index Fund Investor Shares&lt;/span&gt;</rr:BarChartHeading>
    <rr:BarChartClosingTextBlock
      contextRef="InvestorMember_S000004386"
      id="x_3d1478ea-0f39-44e1-8963-f447c835dd4b">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;During the periods shown in the bar chart, the highest and lowest returns for a calendar quarter were:&lt;/span&gt;</rr:BarChartClosingTextBlock>
    <rr:HighestQuarterlyReturnLabel
      contextRef="InvestorMember_S000004386_C000135478"
      id="x_6a815dc0-6e60-4aba-bb48-5b1a5bdf4132">&lt;span style="color:#000000;font-family:Arial;font-size:8pt;margin-left:0.0pt;"&gt;Highest&lt;/span&gt;</rr:HighestQuarterlyReturnLabel>
    <rr:BarChartHighestQuarterlyReturn
      contextRef="InvestorMember_S000004386_C000135478"
      decimals="4"
      id="a0c3d0e3-4ec4-4e70-befc-05457d0d435e"
      unitRef="pure">0.1747</rr:BarChartHighestQuarterlyReturn>
    <rr:BarChartHighestQuarterlyReturnDate
      contextRef="InvestorMember_S000004386_C000135478"
      id="x_33736b2b-3e9e-4a73-901d-30aedd483ff8">2020-06-30</rr:BarChartHighestQuarterlyReturnDate>
    <rr:LowestQuarterlyReturnLabel
      contextRef="InvestorMember_S000004386_C000135478"
      id="x_24e8e377-61c7-4af2-9256-0cf1e602ada1">&lt;span style="color:#000000;font-family:Arial;font-size:8pt;margin-left:0.0pt;"&gt;Lowest&lt;/span&gt;</rr:LowestQuarterlyReturnLabel>
    <rr:BarChartLowestQuarterlyReturn
      contextRef="InvestorMember_S000004386_C000135478"
      decimals="4"
      id="x_0bc61698-3b20-4f2e-8661-d3d0497921ad"
      unitRef="pure">-0.2408</rr:BarChartLowestQuarterlyReturn>
    <rr:BarChartLowestQuarterlyReturnDate
      contextRef="InvestorMember_S000004386_C000135478"
      id="d478cc5d-a96e-4924-9a86-73a680d0c9a8">2020-03-31</rr:BarChartLowestQuarterlyReturnDate>
    <rr:PerformanceTableHeading
      contextRef="InvestorMember_S000004386"
      id="x_69f1ba0e-4ffc-46d7-95fd-e0e2935c753d">&lt;span style="font-family:Arial;font-size:8.5pt;font-weight:bold;"&gt;Average Annual Total Returns for Periods Ended December 31, 2024&lt;/span&gt;</rr:PerformanceTableHeading>
    <rr:AverageAnnualReturnYear01
      contextRef="InvestorMember_S000004386_C000135478_01Jan2024_31Dec2024"
      decimals="4"
      id="x_0cf07ade-0627-463b-bcdc-b02393a5aac9"
      unitRef="pure">0.0296</rr:AverageAnnualReturnYear01>
    <rr:AverageAnnualReturnYear05
      contextRef="InvestorMember_S000004386_C000135478_01Jan2020_31Dec2024"
      decimals="4"
      id="x_799a9bf5-d392-4c81-868b-bec1f0e64eff"
      unitRef="pure">0.0467</rr:AverageAnnualReturnYear05>
    <rr:AverageAnnualReturnYear10
      contextRef="InvestorMember_S000004386_C000135478_01Jan2015_31Dec2024"
      decimals="4"
      id="e1998e42-d0e9-4342-8ba8-4eb8cfba3ea7"
      unitRef="pure">0.0537</rr:AverageAnnualReturnYear10>
    <rr:AverageAnnualReturnYear01
      contextRef="InvestorMember_S000004386_C000135478_ReturnAfterTaxesonDistributionsMember_01Jan2024_31Dec2024"
      decimals="4"
      id="a967820b-699a-4903-b662-7deb485d818a"
      unitRef="pure">0.0220</rr:AverageAnnualReturnYear01>
    <rr:AverageAnnualReturnYear05
      contextRef="InvestorMember_S000004386_C000135478_ReturnAfterTaxesonDistributionsMember_01Jan2020_31Dec2024"
      decimals="4"
      id="x_3cc54821-7260-45ff-afda-2d250ba7f0e3"
      unitRef="pure">0.0396</rr:AverageAnnualReturnYear05>
    <rr:AverageAnnualReturnYear10
      contextRef="InvestorMember_S000004386_C000135478_ReturnAfterTaxesonDistributionsMember_01Jan2015_31Dec2024"
      decimals="4"
      id="x_8e516ff9-a75f-4afa-9c7f-7eaf63ffc789"
      unitRef="pure">0.0465</rr:AverageAnnualReturnYear10>
    <rr:AverageAnnualReturnYear01
      contextRef="InvestorMember_S000004386_C000135478_ReturnAfterTaxesonDistributionsandSaleofFundSharesMember_01Jan2024_31Dec2024"
      decimals="4"
      id="f463c938-b942-41eb-a449-cd1d3cb14912"
      unitRef="pure">0.0232</rr:AverageAnnualReturnYear01>
    <rr:AverageAnnualReturnYear05
      contextRef="InvestorMember_S000004386_C000135478_ReturnAfterTaxesonDistributionsandSaleofFundSharesMember_01Jan2020_31Dec2024"
      decimals="4"
      id="x_950fc327-6a7e-4e92-9448-ba73be7d1362"
      unitRef="pure">0.0358</rr:AverageAnnualReturnYear05>
    <rr:AverageAnnualReturnYear10
      contextRef="InvestorMember_S000004386_C000135478_ReturnAfterTaxesonDistributionsandSaleofFundSharesMember_01Jan2015_31Dec2024"
      decimals="4"
      id="x_5731051c-83b9-43a9-9561-74c0781384b8"
      unitRef="pure">0.0417</rr:AverageAnnualReturnYear10>
    <rr:AverageAnnualReturnYear01
      contextRef="InvestorMember_S000004386_FTSEDevelopedAllCapexUSIndexMember_01Jan2024_31Dec2024"
      decimals="4"
      id="x_76d3815a-b3ed-44ec-939e-b5730a781b6e"
      unitRef="pure">0.0336</rr:AverageAnnualReturnYear01>
    <rr:AverageAnnualReturnYear05
      contextRef="InvestorMember_S000004386_FTSEDevelopedAllCapexUSIndexMember_01Jan2020_31Dec2024"
      decimals="4"
      id="ba26061b-175e-4f82-8232-b257cae7f4bd"
      unitRef="pure">0.0479</rr:AverageAnnualReturnYear05>
    <rr:AverageAnnualReturnYear10
      contextRef="InvestorMember_S000004386_FTSEDevelopedAllCapexUSIndexMember_01Jan2015_31Dec2024"
      decimals="4"
      id="x_32898e92-05ee-4ee7-a801-34367d96854e"
      unitRef="pure">0.0535</rr:AverageAnnualReturnYear10>
    <rr:AverageAnnualReturnYear01
      contextRef="InvestorMember_S000004386_SplicedDevelopedexUSIndexMember_01Jan2024_31Dec2024"
      decimals="4"
      id="x_1ba6f3cb-6233-4645-a2ab-3c947d52d93b"
      unitRef="pure">0.0336</rr:AverageAnnualReturnYear01>
    <rr:AverageAnnualReturnYear05
      contextRef="InvestorMember_S000004386_SplicedDevelopedexUSIndexMember_01Jan2020_31Dec2024"
      decimals="4"
      id="x_6ca6e5fc-c619-47ac-b37d-62529e948790"
      unitRef="pure">0.0479</rr:AverageAnnualReturnYear05>
    <rr:AverageAnnualReturnYear10
      contextRef="InvestorMember_S000004386_SplicedDevelopedexUSIndexMember_01Jan2015_31Dec2024"
      decimals="4"
      id="x_9756eede-00a1-4dd6-9511-56099de3b161"
      unitRef="pure">0.0543</rr:AverageAnnualReturnYear10>
    <rr:AverageAnnualReturnYear01
      contextRef="InvestorMember_S000004386_FTSEGlobalAllCapexUSIndexMember_01Jan2024_31Dec2024"
      decimals="4"
      id="f26fd9cb-c289-4f48-af74-483ad67ff9c7"
      unitRef="pure">0.0553</rr:AverageAnnualReturnYear01>
    <rr:AverageAnnualReturnYear05
      contextRef="InvestorMember_S000004386_FTSEGlobalAllCapexUSIndexMember_01Jan2020_31Dec2024"
      decimals="4"
      id="c92deb20-cc46-47d6-9e21-fb34bc61419d"
      unitRef="pure">0.0442</rr:AverageAnnualReturnYear05>
    <rr:AverageAnnualReturnYear10
      contextRef="InvestorMember_S000004386_FTSEGlobalAllCapexUSIndexMember_01Jan2015_31Dec2024"
      decimals="4"
      id="aea2f038-9553-43e4-adc3-05a1361d7990"
      unitRef="pure">0.0513</rr:AverageAnnualReturnYear10>
    <rr:PerformanceTableClosingTextBlock
      contextRef="InvestorMember_S000004386"
      id="x_2a1b9199-54ed-4aef-8a13-2d0c9fbd08b1">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Actual after-tax returns depend on your tax situation and may differ from those shown in the preceding table. &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;When after-tax returns are calculated, it is &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;assumed that the shareholder was in the highest individual federal marginal income tax bracket at the time of each distribution of income or capital gains or upon redemption. State and local income taxes are not reflected in the calculations. &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Please note that after-tax returns are not relevant for a shareholder &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;who holds fund shares in a tax-deferred account, such as an individual retirement account or a 401(k) plan. &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Also, figures captioned &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Return After Taxes on Distributions and Sale of Fund Shares&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt; may be higher than other figures for the same period if a capital loss occurs upon redemption and results in an assumed tax deduction for the shareholder.&lt;/span&gt;</rr:PerformanceTableClosingTextBlock>
    <rr:PerformanceTableUsesHighestFederalRate
      contextRef="InvestorMember_S000004386"
      id="edafe248-7506-42e8-8643-3912f865a484">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;When after-tax returns are calculated, it is &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;assumed that the shareholder was in the highest individual federal marginal income tax bracket at the time of each distribution of income or capital gains or upon redemption. State and local income taxes are not reflected in the calculations. &lt;/span&gt;</rr:PerformanceTableUsesHighestFederalRate>
    <rr:PerformanceTableNotRelevantToTaxDeferred
      contextRef="InvestorMember_S000004386"
      id="d8e4fb47-61a1-4967-8d24-2d6c8ba2fc02">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Please note that after-tax returns are not relevant for a shareholder &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;who holds fund shares in a tax-deferred account, such as an individual retirement account or a 401(k) plan. &lt;/span&gt;</rr:PerformanceTableNotRelevantToTaxDeferred>
    <rr:PerformanceTableExplanationAfterTaxHigher
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      id="x_4f68aef4-a750-47cf-945a-7b33d20871c9">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Also, figures captioned &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Return After Taxes on Distributions and Sale of Fund Shares&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt; may be higher than other figures for the same period if a capital loss occurs upon redemption and results in an assumed tax deduction for the shareholder.&lt;/span&gt;</rr:PerformanceTableExplanationAfterTaxHigher>
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      id="x_94ba76ec-c004-4538-9791-a1645990aa3b">&lt;span style="color:#000000;font-family:Arial;font-size:13pt;font-weight:bold;"&gt;Fund Summary&lt;/span&gt;</rr:RiskReturnHeading>
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      id="f89c8d16-03a1-4c94-91f8-0df431e39ede">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Investment Objective&lt;/span&gt;</rr:ObjectiveHeading>
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      id="b73c940d-0d7e-40dc-aa22-e0052f0aa2c8">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;The Fund seeks to track the performance of a benchmark index that measures the investment return of stocks issued by companies located in Canada and the major markets of Europe and the Pacific region.&lt;/span&gt;</rr:ObjectivePrimaryTextBlock>
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      id="dd6638f4-7ef1-4cbf-96dc-3c00a813b92d">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Fees and Expenses&lt;/span&gt;</rr:ExpenseHeading>
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      id="x_8b625d88-289b-411b-9f4a-c8e36bfd2b1a">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;The following tables describe the fees and expenses you may pay if you buy, hold, and sell Admiral Shares of the Fund. &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-weight:bold;"&gt;You may pay other fees, such as brokerage commissions and other fees to financial intermediaries, which are not reflected in the tables and example below.&lt;/span&gt;</rr:ExpenseNarrativeTextBlock>
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      id="x_4d41fb07-9b72-4f23-aa8a-7b7e8c0187cd">&lt;span style="color:#000000;font-family:Arial;font-size:8.5pt;font-weight:bold;"&gt;Shareholder Fees&lt;/span&gt;
&lt;br/&gt;&lt;span style="color:#000000;font-family:Arial;font-size:8.5pt;"&gt;(Fees paid directly from your investment)&lt;/span&gt;</rr:ShareholderFeesCaption>
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      id="x_79ae5a57-e772-4400-b98b-ff471a8b8247">&lt;span style="color:#000000;font-family:Arial;font-size:8.5pt;font-weight:bold;"&gt;Annual Fund Operating Expenses&lt;/span&gt;
&lt;br/&gt;&lt;span style="color:#000000;font-family:Arial;font-size:8.5pt;"&gt;(Expenses that you pay each year as a percentage of the value of your investment)&lt;/span&gt;</rr:OperatingExpensesCaption>
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      id="x_2800b2c2-e9fd-488d-bce9-dda76477b93f">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Example&lt;/span&gt;</rr:ExpenseExampleHeading>
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      id="e20282af-b549-4d0f-88fd-27d51588a36d">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;The following example is intended to help you compare the cost of investing in the Fund&#x2019;s Admiral Shares with the cost of investing in other mutual funds. It illustrates the hypothetical expenses that you would incur over various periods if you were to invest $10,000 in the Fund&#x2019;s shares. This example assumes that the shares provide a return of 5% each year and that total annual fund operating expenses remain as stated in the preceding table. You would incur these hypothetical expenses whether or not you were to redeem your investment at the end of the given period. Although your actual costs may be higher or lower, based on these assumptions your costs would be:&lt;/span&gt;</rr:ExpenseExampleNarrativeTextBlock>
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      id="x_88af30cc-bd4a-49ed-9100-bfea692309fc">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Portfolio Turnover&lt;/span&gt;</rr:PortfolioTurnoverHeading>
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      id="x_4b59e52e-9636-4fb8-8ac4-6048eacb3372">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;The Fund pays transaction costs, such as commissions, when it buys and sells securities (or &#x201c;turns over&#x201d; its portfolio). A higher portfolio turnover rate may indicate higher transaction costs and may result in more taxes when Fund shares are held in a taxable account. These costs, which are not reflected in annual fund operating expenses or in the previous expense example, reduce the Fund&#x2019;s performance. During the most recent fiscal year, the Fund&#x2019;s portfolio turnover rate was &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;3&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;% of the average value of its portfolio.&lt;/span&gt;</rr:PortfolioTurnoverTextBlock>
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    <rr:StrategyHeading
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      id="x_1b965c8f-4c8e-4068-84dd-4b7086d7beb4">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Principal Investment Strategies&lt;/span&gt;</rr:StrategyHeading>
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      id="b9573b8c-e55d-47e4-8f04-ac95840ab604">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;The Fund employs an indexing investment approach designed to track the performance of the FTSE Developed All Cap ex US Index (the Index), a market-capitalization-weighted index that as of December 31, 2024, is made up of approximately 3,909 common stocks of large-, mid-, and small-cap companies located in Canada and the major markets of Europe and the Pacific region. The Fund attempts to replicate the target index by investing all, or substantially all, of its assets in the stocks that make up the Index, holding each stock in approximately the same proportion as its weighting in the Index.&lt;/span&gt;</rr:StrategyNarrativeTextBlock>
    <rr:RiskHeading
      contextRef="AdmiralMember_S000004386"
      id="x_28b0cded-5605-4233-9fe0-9d60a01d1f88">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Principal Risks&lt;/span&gt;</rr:RiskHeading>
    <rr:RiskTextBlock
      contextRef="AdmiralMember_S000004386"
      id="x_7e1b802f-e15b-4f20-8efe-e77e6c7c5453">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;An investment in the Fund could lose money over short or long periods of time.&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;You should expect the Fund&#x2019;s share price and total return to fluctuate within a wide range. The Fund is subject to the following risks, which could affect the Fund&#x2019;s performance:&lt;/span&gt;</rr:RiskTextBlock>
    <rr:RiskTextBlock
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      id="d1b46f95-a98e-4692-acf3-ad75559e0795">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;An investment in the Fund could lose money over short or long periods of time.&lt;/span&gt;</rr:RiskTextBlock>
    <rr:RiskTextBlock
      contextRef="AdmiralMember_S000004386_StockMarketRiskMember"
      id="x_5cae83a1-6891-4f50-89d2-419b07390b30">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Stock market risk&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;, which is the chance that stock prices overall will decline. Stock markets tend to move in cycles, with periods of rising prices and periods of falling prices. The Fund&#x2019;s investments in foreign stocks can be riskier than U.S. &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;stock investments. Foreign stocks may be more volatile and less liquid than U.S. stocks. The prices of foreign stocks and the prices of U.S. stocks may move in opposite directions. In addition, the Fund&#x2019;s target index may, at times, become focused in stocks of a particular market sector, which would subject the Fund to proportionately higher exposure to the risks of that sector.&lt;/span&gt;</rr:RiskTextBlock>
    <rr:RiskTextBlock
      contextRef="AdmiralMember_S000004386_CountryRegionalRiskMember"
      id="d03976a7-f225-4e94-b392-d9dc0203570d">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Country/regional risk&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;, which is the chance that world events&#x2014;such as political upheaval, financial troubles, or natural disasters&#x2014;will adversely affect the value of securities issued by companies in foreign countries or regions. Because the Fund may invest a large portion of its assets in securities of companies located in any one country or region, the Fund&#x2019;s performance may be hurt disproportionately by the poor performance of its investments in that area. Significant investments in Japan and the United Kingdom (U.K.) subject the Index and the Fund to proportionately higher exposure to Japanese and U.K. country risk.&lt;/span&gt;</rr:RiskTextBlock>
    <rr:RiskTextBlock
      contextRef="AdmiralMember_S000004386_InvestmentStyleRiskMember"
      id="ec60b076-e750-4891-a90a-323dce295755">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Investment style risk&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;, which is the chance that returns from non-U.S. small- and mid-capitalization stocks will trail returns from global stock markets. Historically, non-U.S. small- and mid-cap stocks have been more volatile in price than the large-cap stocks that dominate the global markets, and they often perform quite differently. The stock prices of small and mid-size companies tend to experience greater volatility because, among other things, these companies tend to be more sensitive to changing economic conditions.&lt;/span&gt;</rr:RiskTextBlock>
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      contextRef="AdmiralMember_S000004386_CurrencyRiskMember"
      id="x_8f34a095-adc3-44b6-88b0-fa7f13e55b77">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Currency risk&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;, which is the chance that the value of a foreign investment, measured in U.S. dollars, will decrease because of unfavorable changes in currency exchange rates.&lt;/span&gt;</rr:RiskTextBlock>
    <rr:RiskTextBlock
      contextRef="AdmiralMember_S000004386_indexrelatedMember"
      id="x_16919a73-158e-4fc8-abae-af690b42f1af">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Index-related risks.&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt; The Fund is subject to risks associated with index investing, which include passive management risk, tracking error risk, and index provider risk. Passive management risk is the chance that the Fund&#x2019;s use of an indexing strategy will negatively impact the Fund&#x2019;s performance. Because the Fund seeks to track the performance of its target index regardless of how that index is performing, the Fund&#x2019;s performance may be lower than it would be if the Fund were actively managed. Tracking error risk is the chance that the Fund&#x2019;s performance will deviate from the performance of its target index. Tracking error risk may be heightened during times of increased market volatility or under other unusual market conditions. Index provider risk is the chance that the Fund will be negatively impacted by changes or errors made by the index provider. Any gains, losses, or costs associated with or resulting from an error made by the index provider will generally be borne by the Fund and, as a result, the Fund&#x2019;s shareholders.&lt;/span&gt;</rr:RiskTextBlock>
    <rr:RiskTextBlock
      contextRef="AdmiralMember_S000004386_IndexReplicatingRiskMember"
      id="x_4182ab05-2545-415e-8da7-d8bd5c668ea9">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Index replicating risk&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;, which is the chance that the Fund may be prevented from holding one or more securities in the same proportion as in its target index.&lt;/span&gt;</rr:RiskTextBlock>
    <rr:RiskTextBlock
      contextRef="AdmiralMember_S000004386_RiskNotInsuredDepositoryInstitutionMember"
      id="d1229c6b-8b54-4f36-91a5-b36d28259e68">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-weight:bold;"&gt;An investment in the Fund is not a deposit of a bank and is not insured or guaranteed by the Federal Deposit Insurance Corporation or any other government agency.&lt;/span&gt;</rr:RiskTextBlock>
    <rr:BarChartAndPerformanceTableHeading
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      id="x_2ad7517f-ee00-49be-a8a5-018b9a160d7f">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Annual Total Returns&lt;/span&gt;</rr:BarChartAndPerformanceTableHeading>
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      contextRef="AdmiralMember_S000004386"
      id="cc5439c5-247c-4053-b873-bbb9c181aaed">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;The following bar chart and table are intended to help you understand the risks of investing in the Fund. The bar chart shows how the performance of the Fund&#x2019;s Admiral Shares has varied from one calendar year to another over the periods shown. The table shows how the average annual total returns of the Admiral Shares compare with those of the Fund&#x2019;s target index and other comparative indexes, which have investment characteristics similar to those of the Fund.&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt; The &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;Spliced Developed ex US Index reflects the performance of the FTSE Developed ex North America Index through December 20, 2015; the FTSE Developed All Cap ex US Transition Index through May 31, 2016; and the FTSE Developed All Cap ex US Index thereafter. Returns for the indexes shown are adjusted for withholding taxes applicable to U.S.-based mutual funds organized as Delaware statutory trusts. &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;Keep in mind that the Fund&#x2019;s past performance (before and after &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;taxes) does not indicate how the Fund will perform in the future.&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt; Updated &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;performance information is available on our website at &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;vanguard.com/performance&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;.&lt;/span&gt;</rr:PerformanceNarrativeTextBlock>
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      id="fb0e0d71-e2cd-4342-8317-08c4c012632b">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;The following bar chart and table are intended to help you understand the risks of investing in the Fund. The bar chart shows how the performance of the Fund&#x2019;s Admiral Shares has varied from one calendar year to another over the periods shown. The table shows how the average annual total returns of the Admiral Shares compare with those of the Fund&#x2019;s target index and other comparative indexes, which have investment characteristics similar to those of the Fund.&lt;/span&gt;</rr:PerformanceInformationIllustratesVariabilityOfReturns>
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      id="x_844a7945-c2e6-47d5-8572-e3b584623c14">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;Keep in mind that the Fund&#x2019;s past performance (before and after &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;taxes) does not indicate how the Fund will perform in the future.&lt;/span&gt;</rr:PerformancePastDoesNotIndicateFuture>
    <rr:PerformanceAvailabilityWebSiteAddress
      contextRef="AdmiralMember_S000004386"
      id="x_2e838ff1-9dea-489e-bed1-7a407b2de977">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;vanguard.com/performance&lt;/span&gt;</rr:PerformanceAvailabilityWebSiteAddress>
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      id="x_272e60ea-6324-4a48-92f9-198dffd920ed">&lt;span style="font-family:Arial;font-size:8pt;font-weight:bold;"&gt;Annual Total Returns &#x2014; Vanguard Developed Markets Index Fund Admiral Shares&lt;/span&gt;</rr:BarChartHeading>
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      id="x_618e4edd-56ee-4897-b49a-dcbfb034cd90">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;During the periods shown in the bar chart, the highest and lowest returns for a calendar quarter were:&lt;/span&gt;</rr:BarChartClosingTextBlock>
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      id="x_4e2fa7e8-3149-4600-b6be-7996740c4404">&lt;span style="color:#000000;font-family:Arial;font-size:8pt;margin-left:0.0pt;"&gt;Highest&lt;/span&gt;</rr:HighestQuarterlyReturnLabel>
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      decimals="4"
      id="x_09d02287-b1f7-459a-95d1-e9201b119a96"
      unitRef="pure">0.1752</rr:BarChartHighestQuarterlyReturn>
    <rr:BarChartHighestQuarterlyReturnDate
      contextRef="AdmiralMember_S000004386_C000012140"
      id="c0a1459c-dfd7-49d9-a42a-2b7b7edc8ba5">2020-06-30</rr:BarChartHighestQuarterlyReturnDate>
    <rr:LowestQuarterlyReturnLabel
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      id="x_7784a5e2-408f-492a-a2c9-c63bc4036b36">&lt;span style="color:#000000;font-family:Arial;font-size:8pt;margin-left:0.0pt;"&gt;Lowest&lt;/span&gt;</rr:LowestQuarterlyReturnLabel>
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      decimals="4"
      id="x_768f95f0-9c47-4a1a-81f1-0c37a9501645"
      unitRef="pure">-0.2407</rr:BarChartLowestQuarterlyReturn>
    <rr:BarChartLowestQuarterlyReturnDate
      contextRef="AdmiralMember_S000004386_C000012140"
      id="de87b187-aab5-4e9f-9161-d80c8c9bbbb4">2020-03-31</rr:BarChartLowestQuarterlyReturnDate>
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      id="x_5b5d93a9-f9ab-497e-bc1f-31265b05d0b5">&lt;span style="font-family:Arial;font-size:8.5pt;font-weight:bold;"&gt;Average Annual Total Returns for Periods Ended December 31, 2024&lt;/span&gt;</rr:PerformanceTableHeading>
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      decimals="4"
      id="e064dc20-6ef3-4d8e-9912-107f49541c5d"
      unitRef="pure">0.0547</rr:AverageAnnualReturnYear10>
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      decimals="4"
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      unitRef="pure">0.0226</rr:AverageAnnualReturnYear01>
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      decimals="4"
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      unitRef="pure">0.0403</rr:AverageAnnualReturnYear05>
    <rr:AverageAnnualReturnYear10
      contextRef="AdmiralMember_S000004386_C000012140_ReturnAfterTaxesonDistributionsMember_01Jan2015_31Dec2024"
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    <rr:AverageAnnualReturnYear01
      contextRef="AdmiralMember_S000004386_C000012140_ReturnAfterTaxesonDistributionsandSaleofFundSharesMember_01Jan2024_31Dec2024"
      decimals="4"
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      unitRef="pure">0.0238</rr:AverageAnnualReturnYear01>
    <rr:AverageAnnualReturnYear05
      contextRef="AdmiralMember_S000004386_C000012140_ReturnAfterTaxesonDistributionsandSaleofFundSharesMember_01Jan2020_31Dec2024"
      decimals="4"
      id="b6a26550-433a-440f-af9e-69cf862b0da5"
      unitRef="pure">0.0365</rr:AverageAnnualReturnYear05>
    <rr:AverageAnnualReturnYear10
      contextRef="AdmiralMember_S000004386_C000012140_ReturnAfterTaxesonDistributionsandSaleofFundSharesMember_01Jan2015_31Dec2024"
      decimals="4"
      id="x_0e7927c5-fb22-4488-b4f2-6b5f32dba210"
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      contextRef="AdmiralMember_S000004386_FTSEDevelopedAllCapexUSIndexMember_01Jan2024_31Dec2024"
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      unitRef="pure">0.0336</rr:AverageAnnualReturnYear01>
    <rr:AverageAnnualReturnYear05
      contextRef="AdmiralMember_S000004386_FTSEDevelopedAllCapexUSIndexMember_01Jan2020_31Dec2024"
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      unitRef="pure">0.0479</rr:AverageAnnualReturnYear05>
    <rr:AverageAnnualReturnYear10
      contextRef="AdmiralMember_S000004386_FTSEDevelopedAllCapexUSIndexMember_01Jan2015_31Dec2024"
      decimals="4"
      id="e1004a49-6e43-40fc-a92a-ea3134bc9283"
      unitRef="pure">0.0535</rr:AverageAnnualReturnYear10>
    <rr:AverageAnnualReturnYear01
      contextRef="AdmiralMember_S000004386_SplicedDevelopedexUSIndexMember_01Jan2024_31Dec2024"
      decimals="4"
      id="f2a706ef-ddc2-42f0-ade3-904f2d15cd40"
      unitRef="pure">0.0336</rr:AverageAnnualReturnYear01>
    <rr:AverageAnnualReturnYear05
      contextRef="AdmiralMember_S000004386_SplicedDevelopedexUSIndexMember_01Jan2020_31Dec2024"
      decimals="4"
      id="x_726f1090-adbf-4141-a19d-7c8016e7c4ff"
      unitRef="pure">0.0479</rr:AverageAnnualReturnYear05>
    <rr:AverageAnnualReturnYear10
      contextRef="AdmiralMember_S000004386_SplicedDevelopedexUSIndexMember_01Jan2015_31Dec2024"
      decimals="4"
      id="x_8838fb17-d9bc-45b7-9577-d760fda0019b"
      unitRef="pure">0.0543</rr:AverageAnnualReturnYear10>
    <rr:AverageAnnualReturnYear01
      contextRef="AdmiralMember_S000004386_FTSEGlobalAllCapexUSIndexMember_01Jan2024_31Dec2024"
      decimals="4"
      id="a045ed74-97d5-4c1b-a953-91d7cba03e9b"
      unitRef="pure">0.0553</rr:AverageAnnualReturnYear01>
    <rr:AverageAnnualReturnYear05
      contextRef="AdmiralMember_S000004386_FTSEGlobalAllCapexUSIndexMember_01Jan2020_31Dec2024"
      decimals="4"
      id="x_18c8c111-1f23-4cf0-9fa0-dc1fc6aad3ad"
      unitRef="pure">0.0442</rr:AverageAnnualReturnYear05>
    <rr:AverageAnnualReturnYear10
      contextRef="AdmiralMember_S000004386_FTSEGlobalAllCapexUSIndexMember_01Jan2015_31Dec2024"
      decimals="4"
      id="x_4ef5ac65-2531-474b-9bc3-ca2ae1aec261"
      unitRef="pure">0.0513</rr:AverageAnnualReturnYear10>
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      contextRef="AdmiralMember_S000004386"
      id="baa6f70f-823b-4a23-97d1-65ec2bbc380a">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Actual after-tax returns depend on your tax situation and may differ from those shown in the preceding table. &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;When after-tax returns are calculated, it is &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;assumed that the shareholder was in the highest individual federal marginal income tax bracket at the time of each distribution of income or capital gains or upon redemption. State and local income taxes are not reflected in the calculations. &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Please note that after-tax returns are not relevant for a shareholder &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;who holds fund shares in a tax-deferred account, such as an individual retirement account or a 401(k) plan. &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Also, figures captioned &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Return After Taxes on Distributions and Sale of Fund Shares&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt; may be higher than other figures for the same period if a capital loss occurs upon redemption and results in an assumed tax deduction for the shareholder.&lt;/span&gt;</rr:PerformanceTableClosingTextBlock>
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      id="x_1e6be17f-2aa0-470f-8050-b8a94838fe47">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;When after-tax returns are calculated, it is &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;assumed that the shareholder was in the highest individual federal marginal income tax bracket at the time of each distribution of income or capital gains or upon redemption. State and local income taxes are not reflected in the calculations. &lt;/span&gt;</rr:PerformanceTableUsesHighestFederalRate>
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      id="x_47846503-6754-4f9f-ac79-32729014e454">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Please note that after-tax returns are not relevant for a shareholder &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;who holds fund shares in a tax-deferred account, such as an individual retirement account or a 401(k) plan. &lt;/span&gt;</rr:PerformanceTableNotRelevantToTaxDeferred>
    <rr:PerformanceTableExplanationAfterTaxHigher
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      id="x_3e82a3e9-4f3a-4fc6-8c3a-bbb51fe7c46f">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Also, figures captioned &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Return After Taxes on Distributions and Sale of Fund Shares&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt; may be higher than other figures for the same period if a capital loss occurs upon redemption and results in an assumed tax deduction for the shareholder.&lt;/span&gt;</rr:PerformanceTableExplanationAfterTaxHigher>
    <rr:RiskReturnHeading
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      id="a54027a6-22bd-435a-b757-f5a6096ec361">&lt;span style="color:#000000;font-family:Arial;font-size:13pt;font-weight:bold;"&gt;Fund Summary&lt;/span&gt;</rr:RiskReturnHeading>
    <rr:ObjectiveHeading
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      id="x_142ead52-2f59-4a50-9d76-15c1536a64a8">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Investment Objective&lt;/span&gt;</rr:ObjectiveHeading>
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      id="e717a9ac-aa86-4a2c-81cf-3243c375701d">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;The Fund seeks to track the performance of a benchmark index that measures the investment return of stocks issued by companies located in Canada and the major markets of Europe and the Pacific region.&lt;/span&gt;</rr:ObjectivePrimaryTextBlock>
    <rr:ExpenseHeading
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      id="c9e4a9f5-8365-43f7-b36e-19bdabf5c532">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Fees and Expenses&lt;/span&gt;</rr:ExpenseHeading>
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      id="x_247e703d-8782-4ed7-b25c-651785b3fa27">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;The following tables describe the fees and expenses you may pay if you buy, hold, and sell Institutional Shares or Institutional Plus Shares of the Fund. &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-weight:bold;"&gt;You may pay other fees, such as brokerage commissions and other fees to financial intermediaries, which are not reflected in the tables and example below.&lt;/span&gt;</rr:ExpenseNarrativeTextBlock>
    <rr:ShareholderFeesCaption
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      id="x_1432d07b-1b94-481a-a829-20ae0ba56421">&lt;span style="color:#000000;font-family:Arial;font-size:8.5pt;font-weight:bold;"&gt;Shareholder Fees&lt;/span&gt;
&lt;br/&gt;&lt;span style="color:#000000;font-family:Arial;font-size:8.5pt;"&gt;(Fees paid directly from your investment)&lt;/span&gt;</rr:ShareholderFeesCaption>
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      decimals="4"
      id="x_50aecbd2-301c-461b-abb0-f447a6f3ef1b"
      unitRef="pure">0</rr:MaximumSalesChargeImposedOnPurchasesOverOfferingPrice>
    <rr:MaximumSalesChargeImposedOnPurchasesOverOfferingPrice
      contextRef="InstitutionalMember_S000004386_C000135477"
      decimals="4"
      id="x_94921ea1-0d18-429a-b054-f36b3637fdd8"
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      decimals="4"
      id="x_75a52458-17fe-443f-9329-20c566a24ed4"
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      decimals="4"
      id="x_5224e7b7-629c-47a8-bf4c-77f7f8e43c64"
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      decimals="4"
      id="x_403af8bd-eb49-4e4c-bdfe-5854a2ed7813"
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    <rr:MaximumSalesChargeOnReinvestedDividendsAndDistributionsOverOther
      contextRef="InstitutionalMember_S000004386_C000135477"
      decimals="4"
      id="x_83866630-95ef-4cf6-b992-12bacb555d39"
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    <rr:RedemptionFeeOverRedemption
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      decimals="4"
      id="x_638d74aa-4f58-4242-a247-88e3cb41bbe8"
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    <rr:RedemptionFeeOverRedemption
      contextRef="InstitutionalMember_S000004386_C000135477"
      decimals="4"
      id="a35bdd50-8750-4663-b982-941c30b5ca48"
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    <rr:OperatingExpensesCaption
      contextRef="InstitutionalMember_S000004386"
      id="x_552e77fa-6490-4d9a-8f2b-fefac8cde2e3">&lt;span style="color:#000000;font-family:Arial;font-size:8.5pt;font-weight:bold;"&gt;Annual Fund Operating Expenses&lt;/span&gt;
&lt;br/&gt;&lt;span style="color:#000000;font-family:Arial;font-size:8.5pt;"&gt;(Expenses that you pay each year as a percentage of the value of your investment)&lt;/span&gt;</rr:OperatingExpensesCaption>
    <rr:ManagementFeesOverAssets
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      decimals="4"
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    <rr:ManagementFeesOverAssets
      contextRef="InstitutionalMember_S000004386_C000135477"
      decimals="4"
      id="x_4b5b7e56-ce47-43eb-9cfe-02e982c4b16c"
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    <rr:DistributionAndService12b1FeesOverAssets
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      decimals="4"
      id="a247314d-e7f8-4531-845b-c4b5d98500cd"
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    <rr:DistributionAndService12b1FeesOverAssets
      contextRef="InstitutionalMember_S000004386_C000135477"
      decimals="4"
      id="b2b6d3ed-72b3-426e-9296-62a33dd77816"
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    <rr:OtherExpensesOverAssets
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      decimals="4"
      id="x_7f6f8c9f-74bd-46b1-9660-32090886f045"
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    <rr:OtherExpensesOverAssets
      contextRef="InstitutionalMember_S000004386_C000135477"
      decimals="4"
      id="x_16eeb7e8-560a-4db7-ad37-dca9f63fba28"
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    <rr:ExpensesOverAssets
      contextRef="InstitutionalMember_S000004386_C000012141"
      decimals="4"
      id="b172fb0e-a4db-499d-ad58-3a56bdb62862"
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    <rr:ExpensesOverAssets
      contextRef="InstitutionalMember_S000004386_C000135477"
      decimals="4"
      id="x_581379fa-9944-4114-a33a-31af272f8b69"
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    <rr:ExpenseExampleHeading
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      id="x_24e755f7-1131-4a77-aa53-597a920bf656">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Examples&lt;/span&gt;</rr:ExpenseExampleHeading>
    <rr:ExpenseExampleNarrativeTextBlock
      contextRef="InstitutionalMember_S000004386"
      id="a5fae959-e723-42d5-8fb1-acbb3f68fb49">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;The following examples are intended to help you compare the cost of investing in the Fund&#x2019;s Institutional Shares or Institutional Plus Shares with the cost of investing in other mutual funds. They illustrate the hypothetical expenses that you would incur over various periods if you were to invest $10,000 in the Fund&#x2019;s shares. These examples assume that the shares provide a return of 5% each year and that total annual fund operating expenses remain as stated in the preceding table. You would incur these hypothetical expenses whether or not you were to redeem your investment at the end of the given period. Although your actual costs may be higher or lower, based on these assumptions your costs would be:&lt;/span&gt;</rr:ExpenseExampleNarrativeTextBlock>
    <rr:ExpenseExampleYear01
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      decimals="INF"
      id="x_17dbf035-bced-4124-b463-4f6eee60d34f"
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    <rr:ExpenseExampleYear03
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      decimals="INF"
      id="x_5f281839-e56a-4020-ba21-97ed0c2e6659"
      unitRef="USD">10</rr:ExpenseExampleYear03>
    <rr:ExpenseExampleYear05
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      decimals="INF"
      id="x_32f8fcc3-9fe6-43d3-ac85-086f3202b1f9"
      unitRef="USD">17</rr:ExpenseExampleYear05>
    <rr:ExpenseExampleYear10
      contextRef="InstitutionalMember_S000004386_C000012141"
      decimals="INF"
      id="a45bf337-30fe-4855-a4ce-8c8a4c9841d7"
      unitRef="USD">39</rr:ExpenseExampleYear10>
    <rr:ExpenseExampleYear01
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      decimals="INF"
      id="x_84e474d6-0380-4e3a-ada0-d9299f6e50d8"
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    <rr:ExpenseExampleYear03
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      decimals="INF"
      id="x_717ca0b0-4b4c-4e71-9ca2-d55c7fe0d7ef"
      unitRef="USD">6</rr:ExpenseExampleYear03>
    <rr:ExpenseExampleYear05
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      decimals="INF"
      id="x_4d090af5-8ca1-43e2-8c17-111810b99a63"
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    <rr:ExpenseExampleYear10
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      decimals="INF"
      id="e332a9ab-4799-46bf-b201-8697010daf14"
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    <rr:PortfolioTurnoverHeading
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      id="cca815ec-7e72-4a9d-af3f-cbded7a78655">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Portfolio Turnover&lt;/span&gt;</rr:PortfolioTurnoverHeading>
    <rr:PortfolioTurnoverTextBlock
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      id="e806bdd4-70ba-4b72-a632-a84e9cf09645">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;The Fund pays transaction costs, such as commissions, when it buys and sells securities (or &#x201c;turns over&#x201d; its portfolio). A higher portfolio turnover rate may indicate higher transaction costs and may result in more taxes when Fund shares are held in a taxable account. These costs, which are not reflected in annual fund operating expenses or in the previous expense example, reduce the Fund&#x2019;s performance. During the most recent fiscal year, the Fund&#x2019;s portfolio turnover rate was &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;3&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;% of the average value of its portfolio.&lt;/span&gt;</rr:PortfolioTurnoverTextBlock>
    <rr:PortfolioTurnoverRate
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      decimals="4"
      id="x_8fb6f274-6657-4e63-8e0a-317285b3a657"
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    <rr:StrategyHeading
      contextRef="InstitutionalMember_S000004386"
      id="x_8a445333-d5b1-4c88-9bcd-2e71571f815e">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Principal Investment Strategies&lt;/span&gt;</rr:StrategyHeading>
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      id="x_42e56541-5c47-444a-bcc6-08f06ff10458">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;The Fund employs an indexing investment approach designed to track the performance of the FTSE Developed All Cap ex US Index (the Index), a market-capitalization-weighted index that as of December 31, 2024, is made up of approximately 3,909 common stocks of large-, mid-, and small-cap companies located in Canada and the major markets of Europe and the Pacific region. The Fund attempts to replicate the target index by investing all, or substantially all, of its assets in the stocks that make up the Index, holding each stock in approximately the same proportion as its weighting in the Index.  &lt;/span&gt;</rr:StrategyNarrativeTextBlock>
    <rr:RiskHeading
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      id="b8a04b56-736b-4641-aa13-81bbbbceae9a">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Principal Risks&lt;/span&gt;</rr:RiskHeading>
    <rr:RiskTextBlock
      contextRef="InstitutionalMember_S000004386"
      id="a8fd69d1-0b06-4fb0-8db0-4b706fd412a8">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;An investment in the Fund could lose money over short or long periods of time.&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;You should expect the Fund&#x2019;s share price and total return to fluctuate within a wide range. The Fund is subject to the following risks, which could affect the Fund&#x2019;s performance:&lt;/span&gt;</rr:RiskTextBlock>
    <rr:RiskTextBlock
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      id="ada346ec-c4da-4c09-bedb-f4e9c3036837">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;An investment in the Fund could lose money over short or long periods of time.&lt;/span&gt;</rr:RiskTextBlock>
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      id="x_52da1298-c53b-491b-8d12-0444541d4cce">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Stock market risk&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;, which is the chance that stock prices overall will decline. Stock markets tend to move in cycles, with periods of rising prices and periods of falling prices. The Fund&#x2019;s investments in foreign stocks can be riskier than U.S. stock investments. Foreign stocks may be more volatile and less liquid than U.S. stocks. The prices of foreign stocks and the prices of U.S. stocks may move in opposite directions. In addition, the Fund&#x2019;s target index may, at times, become focused in stocks of a particular market sector, which would subject the Fund to proportionately higher exposure to the risks of that sector.&lt;/span&gt;</rr:RiskTextBlock>
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      contextRef="InstitutionalMember_S000004386_CountryRegionalRiskMember"
      id="x_544c1ccc-cad0-45d6-97a8-6e2b1ca4c241">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Country/regional risk&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;, which is the chance that world events&#x2014;such as political upheaval, financial troubles, or natural disasters&#x2014;will adversely affect the value of securities issued by companies in foreign countries or regions. Because the Fund may invest a large portion of its assets in securities of companies located in any one country or region, the Fund&#x2019;s performance may be hurt disproportionately by the poor performance of its investments in that area. Significant investments in Japan and the United Kingdom (U.K.) subject the Index and the Fund to proportionately higher exposure to Japanese and U.K. country risk.&lt;/span&gt;</rr:RiskTextBlock>
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      contextRef="InstitutionalMember_S000004386_InvestmentStyleRiskMember"
      id="x_593cce0a-9588-4bc6-bc46-a035c57387c1">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Investment style risk&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;, which is the chance that returns from non-U.S. small and mid-capitalization stocks will trail returns from global stock markets. Historically, non-U.S. small- and mid-cap stocks have been more volatile in price than the large-cap stocks that dominate the global markets, and they often perform quite differently. The stock prices of small and mid-size companies tend to experience greater volatility because, among other things, these companies tend to be more sensitive to changing economic conditions.&lt;/span&gt;</rr:RiskTextBlock>
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      contextRef="InstitutionalMember_S000004386_CurrencyRiskMember"
      id="x_255c8cec-708c-4109-b67f-a2a099cc942e">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Currency risk&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;, which is the chance that the value of a foreign investment, measured in U.S. dollars, will decrease because of unfavorable changes in currency exchange rates.&lt;/span&gt;</rr:RiskTextBlock>
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      contextRef="InstitutionalMember_S000004386_indexrelatedMember"
      id="x_8ee8e3b9-f0be-41d5-b09c-af9c1a19b72c">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Index-related risks.&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt; The Fund is subject to risks associated with index investing, which include passive management risk, tracking error risk, and index provider risk. Passive management risk is the chance that the Fund&#x2019;s use of an indexing strategy will negatively impact the Fund&#x2019;s performance. Because the Fund seeks to track the performance of its target index regardless of how that index is performing, the Fund&#x2019;s performance may be lower than it would be if the Fund were actively managed. Tracking error risk is the chance that the Fund&#x2019;s performance will deviate from the performance of its target index. Tracking error &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;risk may be heightened during times of increased market volatility or under other unusual market conditions. Index provider risk is the chance that the Fund will be negatively impacted by changes or errors made by the index provider. Any gains, losses, or costs associated with or resulting from an error made by the index provider will generally be borne by the Fund and, as a result, the Fund&#x2019;s shareholders.&lt;/span&gt;</rr:RiskTextBlock>
    <rr:RiskTextBlock
      contextRef="InstitutionalMember_S000004386_IndexReplicatingRiskMember"
      id="a8428568-fb86-4c5b-9794-76394b66bba0">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Index replicating risk&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;, which is the chance that the Fund may be prevented from holding one or more securities in the same proportion as in its target index.&lt;/span&gt;</rr:RiskTextBlock>
    <rr:RiskTextBlock
      contextRef="InstitutionalMember_S000004386_RiskNotInsuredDepositoryInstitutionMember"
      id="x_9cebfc96-9bd3-4a7a-93e1-66514567cb94">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-weight:bold;"&gt;An investment in the Fund is not a deposit of a bank and is not insured or guaranteed by the Federal Deposit Insurance Corporation or any other government agency.  &lt;/span&gt;</rr:RiskTextBlock>
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      id="x_592c8cee-ad36-43a8-9eb5-bb98e26f19f4">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Annual Total Returns&lt;/span&gt;</rr:BarChartAndPerformanceTableHeading>
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      contextRef="InstitutionalMember_S000004386"
      id="de3065e3-99dd-441e-b746-a31380140866">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;The following bar chart and table are intended to help you understand the risks of investing in the Fund. The bar chart shows how the performance of the Fund&#x2019;s Institutional Shares has varied from one calendar year to another over the periods shown. The table shows how the average annual total returns of the share classes presented compare with those of the Fund&#x2019;s target index and other comparative indexes, which have investment characteristics similar to those of the Fund.&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt; The Spliced Developed ex US Index reflects the performance of the &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;FTSE Developed ex North America Index through December 20, 2015; the FTSE Developed All Cap ex US Transition Index through May 31, 2016; and the FTSE Developed All Cap ex US Index thereafter. Returns for the indexes shown are adjusted for withholding taxes applicable to U.S.-based mutual funds organized as Delaware statutory trusts. &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;Keep in mind that the Fund&#x2019;s past performance &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;(before and after taxes) does not indicate how the Fund will perform in the future.&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;Updated performance information is available on our website at &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;vanguard.com/performance&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;.&lt;/span&gt;</rr:PerformanceNarrativeTextBlock>
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      id="x_045a4f88-18b1-4d5c-8e81-8316c04d1d1d">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;The following bar chart and table are intended to help you understand the risks of investing in the Fund. The bar chart shows how the performance of the Fund&#x2019;s Institutional Shares has varied from one calendar year to another over the periods shown. The table shows how the average annual total returns of the share classes presented compare with those of the Fund&#x2019;s target index and other comparative indexes, which have investment characteristics similar to those of the Fund.&lt;/span&gt;</rr:PerformanceInformationIllustratesVariabilityOfReturns>
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      id="ff78d510-50dd-415f-a655-b9e28608c5f6">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;Keep in mind that the Fund&#x2019;s past performance &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;(before and after taxes) does not indicate how the Fund will perform in the future.&lt;/span&gt;</rr:PerformancePastDoesNotIndicateFuture>
    <rr:PerformanceAvailabilityWebSiteAddress
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      id="c5f553de-bc44-4eba-9457-718b4e018277">&lt;span style="font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;vanguard.com/performance&lt;/span&gt;</rr:PerformanceAvailabilityWebSiteAddress>
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      id="x_15a84390-1866-458c-8fcc-ba90bef6008a">&lt;span style="font-family:Arial;font-size:8pt;font-weight:bold;"&gt;Annual Total Returns &#x2014; Vanguard Developed Markets Index Fund Institutional Shares&lt;/span&gt;</rr:BarChartHeading>
    <rr:BarChartClosingTextBlock
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      id="x_7c928361-4e01-4597-8586-042345295ed5">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;During the periods shown in the bar chart, the highest and lowest returns for a calendar quarter were:&lt;/span&gt;</rr:BarChartClosingTextBlock>
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      id="x_25d01275-b2e5-49cd-bac7-8faa32b09b7d">&lt;span style="color:#000000;font-family:Arial;font-size:8pt;margin-left:0.0pt;"&gt;Highest&lt;/span&gt;</rr:HighestQuarterlyReturnLabel>
    <rr:BarChartHighestQuarterlyReturn
      contextRef="InstitutionalMember_S000004386_C000012141"
      decimals="4"
      id="x_9585e7ad-9233-497c-8b6f-346e7df01a90"
      unitRef="pure">0.1749</rr:BarChartHighestQuarterlyReturn>
    <rr:BarChartHighestQuarterlyReturnDate
      contextRef="InstitutionalMember_S000004386_C000012141"
      id="x_62f7d117-f592-4ca3-8095-9797406035f4">2020-06-30</rr:BarChartHighestQuarterlyReturnDate>
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      contextRef="InstitutionalMember_S000004386_C000012141"
      id="x_67fd9638-e1ab-4138-a90d-eee6c1bc8c46">&lt;span style="color:#000000;font-family:Arial;font-size:8pt;margin-left:0.0pt;"&gt;Lowest&lt;/span&gt;</rr:LowestQuarterlyReturnLabel>
    <rr:BarChartLowestQuarterlyReturn
      contextRef="InstitutionalMember_S000004386_C000012141"
      decimals="4"
      id="b760f7a8-7039-4f8e-b66c-3c6ca8d7c0c9"
      unitRef="pure">-0.2403</rr:BarChartLowestQuarterlyReturn>
    <rr:BarChartLowestQuarterlyReturnDate
      contextRef="InstitutionalMember_S000004386_C000012141"
      id="d310ed47-3d50-42b0-91f5-ddbe7325aafb">2020-03-31</rr:BarChartLowestQuarterlyReturnDate>
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      id="a32c5cca-8242-4be3-a44d-35978e20c569">&lt;span style="font-family:Arial;font-size:8.5pt;font-weight:bold;"&gt;Average Annual Total Returns for Periods Ended December 31, 2024&lt;/span&gt;</rr:PerformanceTableHeading>
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      unitRef="pure">0.0300</rr:AverageAnnualReturnYear01>
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      contextRef="InstitutionalMember_S000004386_C000012141_01Jan2020_31Dec2024"
      decimals="4"
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      unitRef="pure">0.0477</rr:AverageAnnualReturnYear05>
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      contextRef="InstitutionalMember_S000004386_C000012141_01Jan2015_31Dec2024"
      decimals="4"
      id="fd1cc68c-be15-4869-8cc1-f59e8453dfb9"
      unitRef="pure">0.0549</rr:AverageAnnualReturnYear10>
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      unitRef="pure">0.0221</rr:AverageAnnualReturnYear01>
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      contextRef="InstitutionalMember_S000004386_C000012141_ReturnAfterTaxesonDistributionsMember_01Jan2015_31Dec2024"
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      unitRef="pure">0.0474</rr:AverageAnnualReturnYear10>
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      unitRef="pure">0.0236</rr:AverageAnnualReturnYear01>
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      id="x_4460f5fe-04fa-4d6e-9f78-0797853e1acc"
      unitRef="pure">0.0367</rr:AverageAnnualReturnYear05>
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      contextRef="InstitutionalMember_S000004386_C000012141_ReturnAfterTaxesonDistributionsandSaleofFundSharesMember_01Jan2015_31Dec2024"
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      unitRef="pure">0.0426</rr:AverageAnnualReturnYear10>
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      contextRef="InstitutionalMember_S000004386_C000135477_01Jan2024_31Dec2024"
      decimals="4"
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      unitRef="pure">0.0309</rr:AverageAnnualReturnYear01>
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      contextRef="InstitutionalMember_S000004386_C000135477_01Jan2020_31Dec2024"
      decimals="4"
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      unitRef="pure">0.0480</rr:AverageAnnualReturnYear05>
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      contextRef="InstitutionalMember_S000004386_C000135477_01Jan2015_31Dec2024"
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      contextRef="InstitutionalMember_S000004386_FTSEDevelopedAllCapexUSIndexMember_01Jan2024_31Dec2024"
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      id="x_5df65a00-69d6-41fe-ae11-f46591c192ee"
      unitRef="pure">0.0336</rr:AverageAnnualReturnYear01>
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      contextRef="InstitutionalMember_S000004386_FTSEDevelopedAllCapexUSIndexMember_01Jan2020_31Dec2024"
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      unitRef="pure">0.0479</rr:AverageAnnualReturnYear05>
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      contextRef="InstitutionalMember_S000004386_FTSEDevelopedAllCapexUSIndexMember_01Jan2015_31Dec2024"
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      unitRef="pure">0.0535</rr:AverageAnnualReturnYear10>
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      contextRef="InstitutionalMember_S000004386_SplicedDevelopedexUSIndexMember_01Jan2024_31Dec2024"
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      id="x_5fca881f-953d-4226-a116-01cf9e7bc716"
      unitRef="pure">0.0336</rr:AverageAnnualReturnYear01>
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      contextRef="InstitutionalMember_S000004386_SplicedDevelopedexUSIndexMember_01Jan2020_31Dec2024"
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      contextRef="InstitutionalMember_S000004386_SplicedDevelopedexUSIndexMember_01Jan2015_31Dec2024"
      decimals="4"
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      unitRef="pure">0.0543</rr:AverageAnnualReturnYear10>
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      contextRef="InstitutionalMember_S000004386_FTSEGlobalAllCapexUSIndexMember_01Jan2024_31Dec2024"
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      unitRef="pure">0.0553</rr:AverageAnnualReturnYear01>
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      contextRef="InstitutionalMember_S000004386_FTSEGlobalAllCapexUSIndexMember_01Jan2020_31Dec2024"
      decimals="4"
      id="dcd15217-219f-4f56-8529-7a149ad5f5ba"
      unitRef="pure">0.0442</rr:AverageAnnualReturnYear05>
    <rr:AverageAnnualReturnYear10
      contextRef="InstitutionalMember_S000004386_FTSEGlobalAllCapexUSIndexMember_01Jan2015_31Dec2024"
      decimals="4"
      id="ede79a34-ce08-4ff9-8f27-5a0437223338"
      unitRef="pure">0.0513</rr:AverageAnnualReturnYear10>
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      contextRef="InstitutionalMember_S000004386"
      id="x_109ebf3e-a049-41d4-acb4-b8afdacbb647">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Actual after-tax returns depend on your tax situation and may differ from those shown in the preceding table. &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;When after-tax returns are calculated, it is &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;assumed that the shareholder was in the highest individual federal marginal income tax bracket at the time of each distribution of income or capital gains or upon redemption. State and local income taxes are not reflected in the calculations. &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Please note that after-tax returns are shown only for the Institutional &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Shares and may differ for each share class. After-tax returns are &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;not relevant for &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;a shareholder who holds fund shares in a tax-deferred account, such as an individual retirement account or a 401(k) plan. &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Also, figures captioned &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Return After Taxes on Distributions and Sale of Fund Shares&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt; may be higher than other figures for the same period if a capital loss occurs upon redemption and results in an assumed tax deduction for the shareholder.&lt;/span&gt;</rr:PerformanceTableClosingTextBlock>
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      contextRef="InstitutionalMember_S000004386"
      id="x_03833170-9e3d-4ee6-a066-8cede4631fda">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;When after-tax returns are calculated, it is &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;assumed that the shareholder was in the highest individual federal marginal income tax bracket at the time of each distribution of income or capital gains or upon redemption. State and local income taxes are not reflected in the calculations. &lt;/span&gt;</rr:PerformanceTableUsesHighestFederalRate>
    <rr:PerformanceTableNotRelevantToTaxDeferred
      contextRef="InstitutionalMember_S000004386"
      id="x_8b00db9a-9d80-4ba1-b0ab-7fd815777436">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;not relevant for &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;a shareholder who holds fund shares in a tax-deferred account, such as an individual retirement account or a 401(k) plan. &lt;/span&gt;</rr:PerformanceTableNotRelevantToTaxDeferred>
    <rr:PerformanceTableExplanationAfterTaxHigher
      contextRef="InstitutionalMember_S000004386"
      id="x_00c8ede3-5ff0-4b9c-ab06-3d30163d3cce">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Also, figures captioned &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Return After Taxes on Distributions and Sale of Fund Shares&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt; may be higher than other figures for the same period if a capital loss occurs upon redemption and results in an assumed tax deduction for the shareholder.&lt;/span&gt;</rr:PerformanceTableExplanationAfterTaxHigher>
    <rr:RiskReturnHeading
      contextRef="ETFMember_S000004386"
      id="f34e0c44-74ac-4b02-ac6c-40631aaa705b">&lt;span style="color:#000000;font-family:Arial;font-size:13pt;font-weight:bold;"&gt;ETF Summary&lt;/span&gt;</rr:RiskReturnHeading>
    <rr:ObjectiveHeading
      contextRef="ETFMember_S000004386"
      id="ceaf3918-cd0d-490a-996e-f6f994ccdc5a">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Investment Objective&lt;/span&gt;</rr:ObjectiveHeading>
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      contextRef="ETFMember_S000004386"
      id="x_02b356de-8988-4f60-8282-c7ba9f5997ab">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;The Fund seeks to track the performance of a benchmark index that measures the investment return of stocks issued by companies located in Canada and the major markets of Europe and the Pacific region.&lt;/span&gt;</rr:ObjectivePrimaryTextBlock>
    <rr:ExpenseHeading
      contextRef="ETFMember_S000004386"
      id="df0b84a2-0291-4823-8971-9f034236275e">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Fees and Expenses&lt;/span&gt;</rr:ExpenseHeading>
    <rr:ExpenseNarrativeTextBlock
      contextRef="ETFMember_S000004386"
      id="x_01175282-7688-4914-9d20-86fafe934ee7">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;The following tables describe the fees and expenses you may pay if you buy, hold, and sell ETF Shares of the Fund. &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-weight:bold;"&gt;You may pay other fees, such as brokerage commissions and other fees to financial intermediaries, which are not reflected in the tables and example below.&lt;/span&gt;</rr:ExpenseNarrativeTextBlock>
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&lt;br/&gt;&lt;span style="color:#000000;font-family:Arial;font-size:8.5pt;"&gt;(Fees paid directly from your investment)&lt;/span&gt;</rr:ShareholderFeesCaption>
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      id="x_0ac8c90d-3cbe-4b29-b5eb-0ce96908a4b5">&lt;span style="color:#000000;font-family:Arial;font-size:8.5pt;font-weight:bold;"&gt;Annual Fund Operating Expenses&lt;/span&gt;
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      id="x_0b358aae-b010-4649-9f80-0aeec84d8389">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Example&lt;/span&gt;</rr:ExpenseExampleHeading>
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      id="x_2bb1f8da-7749-46e3-b595-4ab8efcdd5bc">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;The following example is intended to help you compare the cost of investing in the Fund&#x2019;s ETF Shares with the cost of investing in other funds. It illustrates the hypothetical expenses that you would incur over various periods if you were to invest $10,000 in the Fund&#x2019;s shares. This example assumes that the shares provide a return of 5% each year and that total annual fund operating expenses remain as stated in the preceding table. You would incur these hypothetical expenses whether or not you were to sell your shares at the end of the given period. Although your actual costs may be higher or lower, based on these assumptions your costs would be:&lt;/span&gt;</rr:ExpenseExampleNarrativeTextBlock>
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      id="c5f25371-1bd2-4595-8b5b-e272b6118875">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;This example does not include the brokerage commissions that you may pay to buy and sell ETF Shares of the Fund.&lt;/span&gt;</rr:ExpenseExampleClosingTextBlock>
    <rr:PortfolioTurnoverHeading
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      id="x_12182446-7662-4274-946d-f9c41c3ed716">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Portfolio Turnover&lt;/span&gt;</rr:PortfolioTurnoverHeading>
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      id="c2a6cac0-07cd-40ed-a614-8a0503a9330e">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;The Fund pays transaction costs, such as commissions, when it buys and sells securities (or &#x201c;turns over&#x201d; its portfolio). A higher portfolio turnover rate may indicate higher transaction costs and may result in more taxes when Fund shares are held in a taxable account. These costs, which are not reflected in annual fund operating expenses or in the previous expense example, reduce the Fund&#x2019;s performance. During the most recent fiscal year, the Fund&#x2019;s portfolio turnover rate was &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;3&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;% of the average value of its portfolio.&lt;/span&gt;</rr:PortfolioTurnoverTextBlock>
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    <rr:StrategyHeading
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      id="x_275739b9-b63f-4499-8427-1e1bcec82d5b">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Principal Investment Strategies&lt;/span&gt;</rr:StrategyHeading>
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      id="x_18b53c32-ca2e-417a-909f-32c4aab7d063">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;The Fund employs an indexing investment approach designed to track the performance of the FTSE Developed All Cap ex US Index (the Index), a market-capitalization-weighted index that as of December 31, 2024, is made up of approximately 3,909 common stocks of large-, mid-, and small-cap companies located in Canada and the major markets of Europe and the Pacific region. The Fund attempts to replicate the target index by investing all, or substantially all, of its assets in the stocks that make up the Index, holding each stock in approximately the same proportion as its weighting in the Index.&lt;/span&gt;</rr:StrategyNarrativeTextBlock>
    <rr:RiskHeading
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      id="x_229ce63e-ee4f-4712-a162-8d3a6c28d3e4">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Principal Risks&lt;/span&gt;</rr:RiskHeading>
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      id="d3f0cd2d-5232-48d2-a40e-08810bc19944">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;An investment in the Fund could lose money over short or long periods of time.&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;You should expect the Fund&#x2019;s share price and total return to fluctuate within a wide range. The Fund is subject to the following risks, which could affect the Fund&#x2019;s performance:&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Because ETF Shares are traded on an exchange, they are subject to additional risks:&lt;/span&gt;</rr:RiskTextBlock>
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      id="x_6f3be869-84c4-476c-a093-3a4cfe2bf78c">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;An investment in the Fund could lose money over short or long periods of time.&lt;/span&gt;</rr:RiskTextBlock>
    <rr:RiskTextBlock
      contextRef="ETFMember_S000004386_StockMarketRiskMember"
      id="x_13672d41-dc92-46ec-ab01-52b45d677035">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Stock market risk&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;, which is the chance that stock prices overall will decline. Stock markets tend to move in cycles, with periods of rising prices and periods of falling prices. The Fund&#x2019;s investments in foreign stocks can be riskier than U.S. stock investments. Foreign stocks may be more volatile and less liquid than U.S. stocks. The prices of foreign stocks and the prices of U.S. stocks may move in opposite directions. In addition, the Fund&#x2019;s target index may, at times, become focused in stocks of a particular market sector, which would subject the Fund to proportionately higher exposure to the risks of that sector.&lt;/span&gt;</rr:RiskTextBlock>
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      contextRef="ETFMember_S000004386_CountryRegionalRiskMember"
      id="c8621721-c519-45fb-b6fc-b13caa38686a">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Country/regional risk&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;, which is the chance that world events&#x2014;such as political upheaval, financial troubles, or natural disasters&#x2014;will adversely affect the value of securities issued by companies in foreign countries or regions. Because the Fund may invest a large portion of its assets in securities of companies located in any one country or region, the Fund&#x2019;s performance may be hurt disproportionately by the poor performance of its investments in that area. Significant investments in Japan and the United Kingdom (U.K.) subject the Index and the Fund to proportionately higher exposure to Japanese and U.K. country risk.&lt;/span&gt;</rr:RiskTextBlock>
    <rr:RiskTextBlock
      contextRef="ETFMember_S000004386_InvestmentStyleRiskMember"
      id="ed88a4f2-4838-4717-ba03-ff70c4fa48db">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Investment style risk&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;, which is the chance that returns from non-U.S. small- and mid-capitalization stocks will trail returns from global stock markets. Historically, non-U.S. small- and mid-cap stocks have been more volatile in price than the large-cap stocks that dominate the global markets, and they often perform quite differently. The stock prices of small and mid-size companies tend to experience greater volatility because, among other things, these companies tend to be more sensitive to changing economic conditions.&lt;/span&gt;</rr:RiskTextBlock>
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      contextRef="ETFMember_S000004386_CurrencyRiskMember"
      id="x_91c8a03a-c220-48b5-8ae1-488f3c2dd138">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Currency risk&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;, which is the chance that the value of a foreign investment, measured in U.S. dollars, will decrease because of unfavorable changes in currency exchange rates.&lt;/span&gt;</rr:RiskTextBlock>
    <rr:RiskTextBlock
      contextRef="ETFMember_S000004386_indexrelatedMember"
      id="x_3ad52d6f-9fe7-40f6-b360-9764a267ca7e">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Index-related risks.&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt; The Fund is subject to risks associated with index investing, which include passive management risk, tracking error risk, and index provider risk. Passive management risk is the chance that the Fund&#x2019;s use of an indexing strategy will negatively impact the Fund&#x2019;s performance. Because the Fund seeks to track the performance of its target index regardless of how that index is performing, the Fund&#x2019;s performance may be lower than it would be if the Fund were actively managed. Tracking error risk is the chance that the Fund&#x2019;s performance will deviate from the performance of its target index. Tracking error risk may be heightened during times of increased market volatility or under other unusual market conditions. Index provider risk is the chance that the Fund will be negatively impacted by changes or errors made by the index provider. Any gains, losses, or costs associated with or resulting from an error made by the index provider will generally be borne by the Fund and, as a result, the Fund&#x2019;s shareholders.&lt;/span&gt;</rr:RiskTextBlock>
    <rr:RiskTextBlock
      contextRef="ETFMember_S000004386_IndexReplicatingRiskMember"
      id="x_8097876b-e83a-4ccc-ba04-c27c27aa2b5c">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Index replicating risk&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;, which is the chance that the Fund may be prevented from holding one or more securities in the same proportion as in its target index.&lt;/span&gt;</rr:RiskTextBlock>
    <rr:RiskTextBlock
      contextRef="ETFMember_S000004386_ETFexchangeVolatilityMember"
      id="x_438859a7-a1ad-4092-b68a-a71332789b39">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;The Fund&#x2019;s ETF Shares are listed for trading on NYSE Arca and are bought and sold on the secondary market at market prices. Although it is expected that the market price of an ETF Share typically will approximate its net asset value (NAV), there may be times when the market price and the NAV differ significantly. Thus, you may pay more or less than NAV when you buy ETF Shares on the secondary market, and you may receive more or less than NAV when you sell those shares.&lt;/span&gt;</rr:RiskTextBlock>
    <rr:RiskTextBlock
      contextRef="ETFMember_S000004386_ETFactivetradingincreasedMember"
      id="x_707cbfb9-8848-4961-9d57-1e6a6a142cb7">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;Although the Fund&#x2019;s ETF Shares are listed for trading on NYSE Arca, it is possible that an active trading market may not be maintained.&lt;/span&gt;</rr:RiskTextBlock>
    <rr:RiskTextBlock
      contextRef="ETFMember_S000004386_ETFtradinghaltedMember"
      id="x_65207852-8dc7-41b5-8ae8-bc745df48f2d">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;Trading of the Fund&#x2019;s ETF Shares may be halted by the activation of individual or marketwide trading halts (which halt trading for a specific period of time when the price of a particular security or overall market prices decline by a specified percentage). Trading of the Fund&#x2019;s ETF Shares may also be halted if (1) the shares are delisted from NYSE Arca without first being listed on another exchange or (2) NYSE Arca officials determine that such action is appropriate in the interest of a fair and orderly market or for the protection of investors.&lt;/span&gt;</rr:RiskTextBlock>
    <rr:RiskTextBlock
      contextRef="ETFMember_S000004386_RiskNotInsuredDepositoryInstitutionMember"
      id="a34842a0-92a2-4d09-814b-31c0bf345501">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-weight:bold;"&gt;An investment in the Fund is not a deposit of a bank and is not insured or guaranteed by the Federal Deposit Insurance Corporation or any other government agency.&lt;/span&gt;</rr:RiskTextBlock>
    <rr:BarChartAndPerformanceTableHeading
      contextRef="ETFMember_S000004386"
      id="x_13c760ec-27d4-446b-949d-4729b1811c1c">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Annual Total Returns&lt;/span&gt;</rr:BarChartAndPerformanceTableHeading>
    <rr:PerformanceNarrativeTextBlock
      contextRef="ETFMember_S000004386"
      id="bb8c12bc-4670-4a8c-8567-1e1aabb07c23">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;The following bar chart and table are intended to help you understand the risks of investing in the Fund. The bar chart shows how the performance of the Fund&#x2019;s ETF Shares (based on NAV) has varied from one calendar year to another over the periods shown. The table shows how the average annual total returns of the ETF Shares compare with those of the Fund&#x2019;s target index and other comparative indexes, which have investment characteristics similar to those of the Fund.&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt; The Spliced Developed ex US Index reflects the performance of the &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;FTSE Developed ex North America Index through December 20, 2015; the FTSE Developed All Cap ex US Transition Index through May 31, 2016; and the FTSE Developed All Cap ex US Index thereafter. Returns for the indexes shown are adjusted for withholding taxes applicable to U.S.-based funds organized as Delaware statutory trusts. &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;Keep in mind that the Fund&#x2019;s past performance (before &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;and after taxes) does not indicate how the Fund will perform in the future.&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;Updated performance information is available on our website at &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;vanguard.com/performance&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;.&lt;/span&gt;</rr:PerformanceNarrativeTextBlock>
    <rr:PerformanceInformationIllustratesVariabilityOfReturns
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      id="x_7fb0c296-b897-4363-a3fa-d3db4daa77a5">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;The following bar chart and table are intended to help you understand the risks of investing in the Fund. The bar chart shows how the performance of the Fund&#x2019;s ETF Shares (based on NAV) has varied from one calendar year to another over the periods shown. The table shows how the average annual total returns of the ETF Shares compare with those of the Fund&#x2019;s target index and other comparative indexes, which have investment characteristics similar to those of the Fund.&lt;/span&gt;</rr:PerformanceInformationIllustratesVariabilityOfReturns>
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      id="x_55cc4e9d-4150-4707-bd43-52139f98d78e">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;Keep in mind that the Fund&#x2019;s past performance (before &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;and after taxes) does not indicate how the Fund will perform in the future.&lt;/span&gt;</rr:PerformancePastDoesNotIndicateFuture>
    <rr:PerformanceAvailabilityWebSiteAddress
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      id="x_70b678a6-173b-4756-8139-9508e6b072e4">&lt;span style="font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;vanguard.com/performance&lt;/span&gt;</rr:PerformanceAvailabilityWebSiteAddress>
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      id="x_843efd6c-a80b-4214-9084-4361f7ab71b6">&lt;span style="font-family:Arial;font-size:8pt;font-weight:bold;"&gt;Annual Total Returns &#x2014; Vanguard Developed Markets Index Fund ETF Shares&lt;/span&gt;</rr:BarChartHeading>
    <rr:BarChartClosingTextBlock
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      id="x_6499ec13-b37c-4737-acd4-9e7ad058d71d">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;During the periods shown in the bar chart, the highest and lowest returns for a calendar quarter were:&lt;/span&gt;</rr:BarChartClosingTextBlock>
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      id="ba361916-f0be-4a86-946b-79ead8a3071b">&lt;span style="color:#000000;font-family:Arial;font-size:8pt;margin-left:0.0pt;"&gt;Highest&lt;/span&gt;</rr:HighestQuarterlyReturnLabel>
    <rr:BarChartHighestQuarterlyReturn
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      decimals="4"
      id="edc853c0-b510-4f41-a2c2-01897a86b4e9"
      unitRef="pure">0.1745</rr:BarChartHighestQuarterlyReturn>
    <rr:BarChartHighestQuarterlyReturnDate
      contextRef="ETFMember_S000004386_C000051262"
      id="x_751758a6-a21b-402d-800d-d57344e561e4">2020-06-30</rr:BarChartHighestQuarterlyReturnDate>
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      id="x_92b7dabd-d2da-45be-b3cf-70785187d817">&lt;span style="color:#000000;font-family:Arial;font-size:8pt;margin-left:0.0pt;"&gt;Lowest&lt;/span&gt;</rr:LowestQuarterlyReturnLabel>
    <rr:BarChartLowestQuarterlyReturn
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      decimals="4"
      id="x_15be0d0e-3864-4def-b839-e48d89aad2e3"
      unitRef="pure">-0.2401</rr:BarChartLowestQuarterlyReturn>
    <rr:BarChartLowestQuarterlyReturnDate
      contextRef="ETFMember_S000004386_C000051262"
      id="x_9fde2404-beb1-4f75-a336-bfd8ede0888a">2020-03-31</rr:BarChartLowestQuarterlyReturnDate>
    <rr:PerformanceTableHeading
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      id="x_08127ca0-e01d-449b-a4bd-6690d255bea1">&lt;span style="font-family:Arial;font-size:8.5pt;font-weight:bold;"&gt;Average Annual Total Returns for Periods Ended December 31, 2024&lt;/span&gt;</rr:PerformanceTableHeading>
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      id="a90c10cb-88c6-40bb-a511-937b5921dd4d"
      unitRef="pure">0.0307</rr:AverageAnnualReturnYear01>
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      contextRef="ETFMember_S000004386_C000051262_BasedonNAVMember_01Jan2020_31Dec2024"
      decimals="4"
      id="x_58dc4df3-1a5e-4633-b486-17af1f6d80be"
      unitRef="pure">0.0479</rr:AverageAnnualReturnYear05>
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      contextRef="ETFMember_S000004386_C000051262_BasedonNAVMember_01Jan2015_31Dec2024"
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      id="x_8b44e395-bd16-4e9e-b64b-d010d3de2579"
      unitRef="pure">0.0549</rr:AverageAnnualReturnYear10>
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      contextRef="ETFMember_S000004386_C000051262_ReturnAfterTaxesonDistributionsMember_01Jan2024_31Dec2024"
      decimals="4"
      id="b1fb1766-b80f-49ea-b8bc-663520a54be4"
      unitRef="pure">0.0228</rr:AverageAnnualReturnYear01>
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      id="x_02be2cc2-52d3-4fbd-9875-a27c7a3a70d0">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Actual after-tax returns depend on your tax situation and may differ from those shown in the preceding table. &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;When after-tax returns are calculated, it is &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;assumed that the shareholder was in the highest individual federal marginal income tax bracket at the time of each distribution of income or capital gains or upon redemption. State and local income taxes are not reflected in the calculations. &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Please note that after-tax returns are not relevant for a shareholder &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;who holds fund shares in a tax-deferred account, such as an individual retirement account or a 401(k) plan. &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Also, figures captioned &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Return After Taxes &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;on Distributions and Sale of Fund Shares&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt; may be higher than other figures for the same period if a capital loss occurs upon redemption and results in an assumed tax deduction for the shareholder.&lt;/span&gt;</rr:PerformanceTableClosingTextBlock>
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      id="d9b7e307-64c8-4d1d-8cc1-74a3fd025740">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;When after-tax returns are calculated, it is &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;assumed that the shareholder was in the highest individual federal marginal income tax bracket at the time of each distribution of income or capital gains or upon redemption. State and local income taxes are not reflected in the calculations. &lt;/span&gt;</rr:PerformanceTableUsesHighestFederalRate>
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      id="x_47bf0bb5-2fd5-459f-b6b4-1b798f89cad7">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Please note that after-tax returns are not relevant for a shareholder &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;who holds fund shares in a tax-deferred account, such as an individual retirement account or a 401(k) plan. &lt;/span&gt;</rr:PerformanceTableNotRelevantToTaxDeferred>
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      id="x_6eead648-1859-4596-8a26-8df829cdaa4e">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Also, figures captioned &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Return After Taxes &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;on Distributions and Sale of Fund Shares&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt; may be higher than other figures for the same period if a capital loss occurs upon redemption and results in an assumed tax deduction for the shareholder.&lt;/span&gt;</rr:PerformanceTableExplanationAfterTaxHigher>
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      id="x_185ca52c-08b3-4ad7-8924-e9105c384aa4">&lt;span style="color:#000000;font-family:Arial;font-size:13pt;font-weight:bold;"&gt;Vanguard Tax-Managed Balanced Fund&lt;/span&gt;</rr:RiskReturnHeading>
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      id="x_29363d93-a6a6-4396-b227-3cf726e848f9">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Investment Objective&lt;/span&gt;</rr:ObjectiveHeading>
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      id="x_95d1f52d-b74b-4dd1-9278-2390261c7c18">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;The Fund seeks to provide a tax-efficient return consisting of federally tax-exempt income, long-term capital appreciation, and a modest amount of taxable current income.&lt;/span&gt;</rr:ObjectivePrimaryTextBlock>
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      id="x_39a089c2-e2fb-4ca6-ada5-6d7180e9c78c">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Fees and Expenses&lt;/span&gt;</rr:ExpenseHeading>
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      id="x_5d6dbfa4-74ce-4dd9-ac51-ce5e30731f1e">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;The following tables describe the fees and expenses you may pay if you buy, hold, and sell shares of the Fund. &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-weight:bold;"&gt;You may pay other fees, such as brokerage commissions and other fees to financial intermediaries, which are not reflected in the tables and example below.&lt;/span&gt;</rr:ExpenseNarrativeTextBlock>
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      id="x_43692a96-8b3d-4a74-91a9-4fdf68015616">&lt;span style="color:#000000;font-family:Arial;font-size:8.5pt;font-weight:bold;"&gt;Shareholder Fees&lt;/span&gt;
&lt;br/&gt;&lt;span style="color:#000000;font-family:Arial;font-size:8.5pt;"&gt;(Fees paid directly from your investment)&lt;/span&gt;</rr:ShareholderFeesCaption>
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      id="x_3d82f2f3-c407-4802-bf6b-9d1544618b8a">&lt;span style="color:#000000;font-family:Arial;font-size:8.5pt;font-weight:bold;"&gt;Annual Fund Operating Expenses&lt;/span&gt;
&lt;br/&gt;&lt;span style="color:#000000;font-family:Arial;font-size:8.5pt;"&gt;(Expenses that you pay each year as a percentage of the value of your investment)&lt;/span&gt;</rr:OperatingExpensesCaption>
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      decimals="4"
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      decimals="4"
      id="x_75227f75-406c-4c22-866e-58c0b1060a4c"
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      decimals="4"
      id="x_3d00ce6e-38d3-43cf-b631-b575554409a9"
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      id="x_5a61ac40-ea8e-4a28-90dd-1591ac09ba05">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Example&lt;/span&gt;</rr:ExpenseExampleHeading>
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      id="x_5e7eca41-2111-4e51-846e-b7dae82a8342">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;The following example is intended to help you compare the cost of investing in the Fund with the cost of investing in other mutual funds. It illustrates the hypothetical expenses that you would incur over various periods if you were to invest $10,000 in the Fund&#x2019;s shares. This example assumes that the Fund provides a return of 5% each year and that total annual fund operating expenses remain as stated in the preceding table. You would incur these hypothetical &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;expenses whether or not you were to redeem your investment at the end of the given period. Although your actual costs may be higher or lower, based on these assumptions your costs would be:&lt;/span&gt;</rr:ExpenseExampleNarrativeTextBlock>
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      decimals="INF"
      id="x_66d17e17-4548-41d9-900e-1dc25ad04751"
      unitRef="USD">51</rr:ExpenseExampleYear05>
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      decimals="INF"
      id="x_04f4ac16-b7c1-4bc1-87b9-93ecc0ef1ac2"
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    <rr:PortfolioTurnoverHeading
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      id="x_3a63e455-978d-48e0-b9f6-6a6807b56b17">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Portfolio Turnover&lt;/span&gt;</rr:PortfolioTurnoverHeading>
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      id="x_2e49e06e-6a77-4db1-a27d-0c443111cca5">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;The Fund pays transaction costs, such as commissions, when it buys and sells securities (or &#x201c;turns over&#x201d; its portfolio). The Fund may be required to sell securities to comply with certain requirements under the tax laws. A higher portfolio turnover rate may indicate higher transaction costs and may result in more taxes when Fund shares are held in a taxable account. These costs, which are not reflected in annual fund operating expenses or in the previous expense example, reduce the Fund&#x2019;s performance. During the most recent fiscal year, the Fund&#x2019;s portfolio turnover rate was &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;20&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;% of the average value of its portfolio.&lt;/span&gt;</rr:PortfolioTurnoverTextBlock>
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      id="x_3a29950c-d637-41e5-9a79-982c4c03334c"
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    <rr:StrategyHeading
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      id="x_7ed2da7f-5949-4156-9ab0-980c0af6c6dc">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Principal Investment Strategies&lt;/span&gt;</rr:StrategyHeading>
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      id="x_7f039712-b78d-43f6-9297-cd0809b5d728">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;The Fund invests approximately 50% to 55% of its assets in municipal securities and the balance in common stocks. The fixed income portion of the Fund is concentrated in high-quality municipal securities with a dollar-weighted average maturity expected to be between 6 and 12 years. At least 75% of the municipal bonds purchased by the Fund will be rated in one of the top three credit-rating categories as determined by an independent bond-rating agency (e.g., Aaa, Aa, and A by Moody&#x2019;s Ratings or AAA, AA, and A by S&amp;amp;P Global Ratings) or, if unrated, determined to be of comparable quality by the advisor.  &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;The Fund&#x2019;s stock holdings are chosen from the stocks that are included in the Russell 1000 Index (the Index)&#x2014;an index that is made up of stocks of large- and mid-capitalization U.S. companies. The Fund uses statistical methods to &#x201c;sample&#x201d; the Index, aiming to ensure capital gains and income tax efficiency while approximating other characteristics and the performance of the&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;line-height:11.5pt;"&gt; &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;Index.&lt;/span&gt;</rr:StrategyNarrativeTextBlock>
    <rr:RiskHeading
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      id="x_04a36e14-32a7-434b-a5fa-68ac19ad5d80">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Principal Risks&lt;/span&gt;</rr:RiskHeading>
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      id="x_8c6da06a-3060-4db2-8e75-2a8a435aff7a">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;The Fund is subject to the risks associated with the stock and bond markets, any of which could cause an investor to lose money, and the level of risk may vary based on market conditions.&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt; However, because stock and bond prices can move &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;in different directions or to different degrees, the Fund&#x2019;s bond holdings may counteract some of the volatility experienced by the Fund&#x2019;s stock holdings.  &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;With 50% to 55% of its assets in municipal securities and 45% to 50% of its assets in stocks, the Fund is proportionately subject to:&lt;/span&gt;</rr:RiskTextBlock>
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      contextRef="RetailMember_S000004383_InterestRateRiskMember"
      id="c80b3077-2f01-44fc-a2d7-1a32436deffb">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Interest rate risk&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;, &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;which is the chance that bond prices overall will decline because of rising interest rates.&lt;/span&gt;</rr:RiskTextBlock>
    <rr:RiskTextBlock
      contextRef="RetailMember_S000004383_CreditRiskMember"
      id="x_584de4b7-e080-4aa7-a446-c686e5a3e242">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Credit risk&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;, which is the chance that a bond issuer will fail to pay interest or principal in a timely manner or that negative perceptions of the issuer&#x2019;s ability to make such payments will cause the price of that bond to decline.&lt;/span&gt;</rr:RiskTextBlock>
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      contextRef="RetailMember_S000004383_CallRiskMember"
      id="x_5fb97d7f-888e-4bdc-9f1b-87467f960b27">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Call risk&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;, which is the chance that during periods of falling interest rates, issuers of callable bonds may call (redeem) securities with higher coupon rates or interest rates before their maturity dates, causing the Fund to lose any price appreciation above the bond&#x2019;s call price and forcing it to reinvest the unanticipated proceeds at lower interest rates that may result in a decline in the Fund&#x2019;s&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;line-height:11.5pt;"&gt; &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;income.&lt;/span&gt;</rr:RiskTextBlock>
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      contextRef="RetailMember_S000004383_IncomeRiskMember"
      id="c8afb1f0-995a-40d8-9fe3-442d0de26bbe">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Income risk&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;, which is the chance that the Fund&#x2019;s income will decline because of falling interest rates.&lt;/span&gt;</rr:RiskTextBlock>
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      id="x_2ca35d49-5873-4c0c-a332-cf48b5d5f756">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Liquidity risk&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;, which is the chance that the Fund may not be able to sell a security in a timely manner at a desired price.&lt;/span&gt;</rr:RiskTextBlock>
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      id="x_47308f39-7a7f-4f6b-8a4f-ed303dff8d7b">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Manager risk&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;, which is the chance that poor security selection will cause the Fund to underperform relevant benchmarks or other funds with a similar investment objective.&lt;/span&gt;</rr:RiskTextBlock>
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      id="ebe5ac2e-9d2f-473e-9edd-96489682d402">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Stock market risk&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;, which is the chance that stock prices overall will decline. Stock markets tend to move in cycles, with periods of rising prices and periods of falling prices. The benchmark index for the stock portion of the Fund tracks a subset of the U.S. stock market, which could cause the Fund to perform differently from the overall stock market. In addition, the Fund&#x2019;s benchmark index may, at times, become focused in stocks of a particular market sector, which would subject the Fund to proportionately higher exposure to the risks of that sector.&lt;/span&gt;</rr:RiskTextBlock>
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      id="b88a4922-51a8-4a9d-ab59-8c9dfc855578">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Investment style risk&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;, which is the chance that returns from large- and mid-capitalization stocks will trail returns from the overall stock market. Large- and mid-cap stocks each tend to go through cycles of doing better&#x2014;or worse&#x2014;than other segments of the stock market or the stock market in general. These periods have, in the past, lasted for as long as several years. Historically, mid-cap stocks have been more volatile in price than large-cap stocks. The stock prices of mid-size companies tend to experience greater volatility because, among other things, these companies tend to be more sensitive to changing economic conditions.&lt;/span&gt;</rr:RiskTextBlock>
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      id="x_5b8da9f8-38db-46f3-aec9-5be8cf271265">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Tax risk&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;, which, in the case of the municipal securities held by the Fund, is the chance that all or a portion of the tax-exempt income from municipal bonds held by the Fund will be declared taxable, possibly with retroactive effect, because of unfavorable changes in tax laws, adverse interpretations by the Internal Revenue &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;Service or state or local tax authorities, or noncompliant conduct of a bond issuer. For the stocks held by the Fund, this is the chance that the Fund may hold on to a security longer than expected to reduce turnover, which may cause the Fund to pay out distributions or may impact the Fund&#x2019;s return.&lt;/span&gt;</rr:RiskTextBlock>
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      id="e4ff4a7d-c8b7-4d16-893c-72759abb8777">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Tax-managed investing risk&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;, which is the chance that market conditions or other circumstances may limit the Fund&#x2019;s ability to generate tax losses or to generate dividend income taxed at favorable tax rates. The Fund&#x2019;s tax-managed strategy may cause the Fund to hold a security in order to achieve more favorable tax-treatment or to sell a security in order to create tax losses, which may impact returns. Although the Fund intends to track the performance of the Index with respect to the stocks included in the portfolio, the tracking may fluctuate periodically based on the sampling of the Index for tax efficiency.&lt;/span&gt;</rr:RiskTextBlock>
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      id="e42f3c0f-7b92-417d-bc4a-4ab6e7041713">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-weight:bold;"&gt;An investment in the Fund is not a deposit of a bank and is not insured or guaranteed by the Federal Deposit Insurance Corporation or any other government agency.&lt;/span&gt;</rr:RiskTextBlock>
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      id="x_5a81236d-2a87-4f7e-9b07-3ad8368ca345">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Annual Total Returns&lt;/span&gt;</rr:BarChartAndPerformanceTableHeading>
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      id="x_4f9ddc1a-3fec-43c6-9e98-2eaaa2d85b22">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;The following bar chart and table are intended to help you understand the risks of investing in the Fund. The bar chart shows how the performance of the Fund has varied from one calendar year to another over the periods shown. The table shows how the average annual total returns of the Fund compare with those of relevant market indexes and a composite bond/stock index, which have investment characteristics similar to those of the Fund. Vanguard Tax-Managed Balanced Composite Index consists of two unmanaged benchmarks, weighted 50% in the Russell 1000 Index and 50% in the Bloomberg 1&#x2013;15 Year Municipal Bond Index.&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt; Keep in mind that the Fund&#x2019;s past performance (before and after &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;taxes) does not indicate how the Fund will perform in the future.&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt; Updated &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;performance information is available on our website at &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;vanguard.com/performance&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;.&lt;/span&gt;</rr:PerformanceNarrativeTextBlock>
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      id="x_09dade7a-0c08-4dd6-86f2-a5d7ae6ac480">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;The following bar chart and table are intended to help you understand the risks of investing in the Fund. The bar chart shows how the performance of the Fund has varied from one calendar year to another over the periods shown. The table shows how the average annual total returns of the Fund compare with those of relevant market indexes and a composite bond/stock index, which have investment characteristics similar to those of the Fund. Vanguard Tax-Managed Balanced Composite Index consists of two unmanaged benchmarks, weighted 50% in the Russell 1000 Index and 50% in the Bloomberg 1&#x2013;15 Year Municipal Bond Index.&lt;/span&gt;</rr:PerformanceInformationIllustratesVariabilityOfReturns>
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      id="x_99b4f710-1728-4146-9fa3-f349caa5e8d0">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt; Keep in mind that the Fund&#x2019;s past performance (before and after &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;taxes) does not indicate how the Fund will perform in the future.&lt;/span&gt;</rr:PerformancePastDoesNotIndicateFuture>
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      id="acaef0df-cada-482f-b59a-47780a61a5e4">&lt;span style="font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;vanguard.com/performance&lt;/span&gt;</rr:PerformanceAvailabilityWebSiteAddress>
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      id="x_24602982-368c-4ec1-9f7e-01a2706979e9">&lt;span style="font-family:Arial;font-size:8pt;font-weight:bold;"&gt;Annual Total Returns &#x2014; Vanguard Tax-Managed Balanced Fund Admiral Shares&lt;/span&gt;</rr:BarChartHeading>
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      id="x_590daeed-5acb-4be5-8a93-07ac7c747001">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;During the periods shown in the bar chart, the highest and lowest returns for a calendar quarter were:&lt;/span&gt;</rr:BarChartClosingTextBlock>
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      id="d615fb8c-6401-4152-a71d-80941f3f094e">&lt;span style="color:#000000;font-family:Arial;font-size:8pt;margin-left:0.0pt;"&gt;Highest&lt;/span&gt;</rr:HighestQuarterlyReturnLabel>
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      unitRef="pure">0.1164</rr:BarChartHighestQuarterlyReturn>
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      contextRef="RetailMember_S000004383_C000012133"
      id="x_49dab088-79a6-40f1-9992-64e714b0d615">2020-06-30</rr:BarChartHighestQuarterlyReturnDate>
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      id="x_650089df-574c-4dc4-bfe5-1ae161521206">&lt;span style="color:#000000;font-family:Arial;font-size:8pt;margin-left:0.0pt;"&gt;Lowest&lt;/span&gt;</rr:LowestQuarterlyReturnLabel>
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      id="x_9cfbc3ed-3784-4922-9c58-8f0d0b2ef14a">&lt;span style="font-family:Arial;font-size:8.5pt;font-weight:bold;"&gt;Average Annual Total Returns for Periods Ended December 31, 2024&lt;/span&gt;</rr:PerformanceTableHeading>
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      id="adeb4359-e9b6-4768-b142-67c4c317bffa">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Actual after-tax returns depend on your tax situation and may differ from those shown in the preceding table. &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;When after-tax returns are calculated, it is &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;assumed that the shareholder was in the highest individual federal marginal income tax bracket at the time of each distribution of income or capital gains or upon redemption. State and local income taxes are not reflected in the calculations. &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Please note that after-tax returns are not relevant for a shareholder &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;who holds fund shares in a tax-deferred account, such as an individual retirement account or a 401(k) plan. &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Also, figures captioned &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Return After Taxes on Distributions and Sale of Fund Shares&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt; may be higher than other figures for the same period if a capital loss occurs upon redemption and results in an assumed tax deduction for the shareholder.&lt;/span&gt;</rr:PerformanceTableClosingTextBlock>
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      id="x_9e2be624-e330-4642-bc95-e692daf0dd88">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;When after-tax returns are calculated, it is &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;assumed that the shareholder was in the highest individual federal marginal income tax bracket at the time of each distribution of income or capital gains or upon redemption. State and local income taxes are not reflected in the calculations. &lt;/span&gt;</rr:PerformanceTableUsesHighestFederalRate>
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      id="x_56244b9b-c95c-42a5-9a6f-9775b2e981d3">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Please note that after-tax returns are not relevant for a shareholder &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;who holds fund shares in a tax-deferred account, such as an individual retirement account or a 401(k) plan. &lt;/span&gt;</rr:PerformanceTableNotRelevantToTaxDeferred>
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      id="x_826a932d-17ec-49d6-b46a-7e1485012948">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Also, figures captioned &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Return After Taxes on Distributions and Sale of Fund Shares&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt; may be higher than other figures for the same period if a capital loss occurs upon redemption and results in an assumed tax deduction for the shareholder.&lt;/span&gt;</rr:PerformanceTableExplanationAfterTaxHigher>
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      id="cac11ac2-bbbe-493c-9dc1-6200f5a7a69a">&lt;span style="color:#000000;font-family:Arial;font-size:13pt;font-weight:bold;"&gt;Vanguard Tax-Managed Capital Appreciation Fund&lt;/span&gt;</rr:RiskReturnHeading>
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      id="ff1633e2-663c-4748-89ae-7535824fc326">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Investment Objective&lt;/span&gt;</rr:ObjectiveHeading>
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      id="x_2f3a9c92-f0fc-4caa-a857-385725855fc1">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;The Fund seeks to provide a tax-efficient return consisting of long-term capital  appreciation while tracking the performance of a benchmark index that measures the investment return of large- and mid-capitalization&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;line-height:11.5pt;"&gt; &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;stocks.&lt;/span&gt;</rr:ObjectivePrimaryTextBlock>
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      id="c47d7042-2b87-4b93-a01e-2897f4e8e4d0">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Fees and Expenses&lt;/span&gt;</rr:ExpenseHeading>
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      id="a83370fc-5f4a-4852-bfbb-01c8b2917e13">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;The following tables describe the fees and expenses you may pay if you buy, hold, and sell Admiral Shares of the Fund. &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-weight:bold;"&gt;You may pay other fees, such as brokerage commissions and other fees to financial intermediaries, which are not reflected in the tables and example below.&lt;/span&gt;</rr:ExpenseNarrativeTextBlock>
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      id="x_5b807d0b-60ea-4244-9b57-04884a198961">&lt;span style="color:#000000;font-family:Arial;font-size:8.5pt;font-weight:bold;"&gt;Annual Fund Operating Expenses&lt;/span&gt;
&lt;br/&gt;&lt;span style="color:#000000;font-family:Arial;font-size:8.5pt;"&gt;(Expenses that you pay each year as a percentage of the value of your investment)&lt;/span&gt;</rr:OperatingExpensesCaption>
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      id="x_6a3130a4-1963-469c-9453-e2f58ddc338c">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Example&lt;/span&gt;</rr:ExpenseExampleHeading>
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      id="cf50725c-b7ba-49a3-93b4-48e2d6f43916">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;The following example is intended to help you compare the cost of investing in the Fund&#x2019;s Admiral Shares with the cost of investing in other mutual funds. It illustrates the hypothetical expenses that you would incur over various periods if you were to invest $10,000 in the Fund&#x2019;s shares. This example assumes that the shares provide a return of 5% each year and that total annual fund operating expenses remain as stated in the preceding table. You would incur these hypothetical expenses whether or not you were to redeem your investment at the end of the given period. Although your actual costs may be higher or lower, based on these assumptions your costs would be:&lt;/span&gt;</rr:ExpenseExampleNarrativeTextBlock>
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      id="x_8efc4739-298e-4475-8ec2-33b91ddc245a">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Portfolio Turnover&lt;/span&gt;</rr:PortfolioTurnoverHeading>
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      id="a97dfc44-079c-442b-ae49-46eb570b1060">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;The Fund pays transaction costs, such as commissions, when it buys and sells securities (or &#x201c;turns over&#x201d; its portfolio). A higher portfolio turnover rate may indicate higher transaction costs and may result in more taxes when Fund shares are held in a taxable account. These costs, which are not reflected in annual fund operating expenses or in the previous expense example, reduce the Fund&#x2019;s performance. During the most recent fiscal year, the Fund&#x2019;s portfolio turnover rate was &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;10&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;% of the average value of its portfolio.&lt;/span&gt;</rr:PortfolioTurnoverTextBlock>
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    <rr:StrategyHeading
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      id="x_3656f3b7-2466-4e65-80b9-da47faff8d05">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Principal Investment Strategies&lt;/span&gt;</rr:StrategyHeading>
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      id="d443772a-a16c-476c-bbff-c525c24d3849">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;The Fund purchases stocks that are included in the Russell 1000 Index (the Index)&#x2014;an index that is made up of the stocks of large- and mid-capitalization U.S. companies. The Fund uses statistical methods to &#x201c;sample&#x201d; the Index, aiming to ensure capital gains and income tax efficiency while approximating other characteristics and the performance of the&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;line-height:11.5pt;"&gt; &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;Index.&lt;/span&gt;</rr:StrategyNarrativeTextBlock>
    <rr:RiskHeading
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      id="b0e0a69a-c672-44a6-88a7-69e5388b8505">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Principal Risks&lt;/span&gt;</rr:RiskHeading>
    <rr:RiskTextBlock
      contextRef="RetailMember_S000004384"
      id="x_30bb963d-858d-45a9-80d8-c88ba8fc2c74">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;An investment in the Fund could lose money over short or long periods of time.&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;You should expect the Fund&#x2019;s share price and total return to fluctuate within a wide range. The Fund is subject to the following risks, which could affect the Fund&#x2019;s performance:&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Tax-managed investing risk&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;, which is the chance that market conditions or other circumstances may limit the Fund&#x2019;s ability to generate tax losses or to generate dividend income taxed at favorable tax rates. The Fund&#x2019;s tax-managed strategy may cause the Fund to hold a security in order to achieve more favorable tax-treatment or to sell a security in order to create tax losses, which may impact returns. Although the Fund intends to track the performance of the Index, the tracking may fluctuate periodically based on the sampling of the Index for tax efficiency.&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Indexing risks.&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt; The Fund is subject to risks associated with index investing. Because the Fund does not hold all of the securities included in the Index, it is subject to the risk that the representative sample of securities selected by the advisor will, in the aggregate, vary from the investment profile of the full Index. Additionally, the performance of the Fund&#x2019;s investments, in the aggregate, may not match the investment performance of the Index. This risk, known as tracking error risk, may be heightened during times of increased market volatility or under other unusual market conditions. The Fund also could be negatively impacted by changes to the Index made by the Index provider or by errors made by the Index provider. Any gains, losses, or costs associated with or resulting from an error made by the Index provider will generally be borne by the Fund and, as a result, the Fund&#x2019;s shareholders.&lt;/span&gt;</rr:RiskTextBlock>
    <rr:RiskTextBlock
      contextRef="RetailMember_S000004384_RiskLoseMoneyMember"
      id="e6f2366e-144b-4f5e-89aa-8ee235194f13">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;An investment in the Fund could lose money over short or long periods of time.&lt;/span&gt;</rr:RiskTextBlock>
    <rr:RiskTextBlock
      contextRef="RetailMember_S000004384_StockMarketRiskMember"
      id="x_915b90bc-989e-4312-9d71-e72ed70890e3">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Stock market risk&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;, which is the chance that stock prices overall will decline. Stock markets tend to move in cycles, with periods of rising prices and periods of falling prices. The Fund&#x2019;s benchmark index tracks a subset of the U.S. stock market, which could cause the Fund to perform differently from the overall stock market. In addition, the Fund&#x2019;s benchmark index may, at times, become focused &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;in stocks of a particular market sector, which would subject the Fund to proportionately higher exposure to the risks of that sector.&lt;/span&gt;</rr:RiskTextBlock>
    <rr:RiskTextBlock
      contextRef="RetailMember_S000004384_InvestmentStyleRiskMember"
      id="d415b9b0-e3e2-424c-aa9f-811c2d63f1b2">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Investment style risk&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;, which is the chance that returns from large- and mid-capitalization stocks will trail returns from the overall stock market. Large- and mid-cap stocks each tend to go through cycles of doing better&#x2014;or worse&#x2014;than other segments of the stock market or the stock market in general. These periods have, in the past, lasted for as long as several years. Historically, mid-cap stocks have been more volatile in price than large-cap stocks. The stock prices of mid-size companies tend to experience greater volatility because, among other things, these companies tend to be more sensitive to changing economic conditions.&lt;/span&gt;</rr:RiskTextBlock>
    <rr:RiskTextBlock
      contextRef="RetailMember_S000004384_RiskNotInsuredDepositoryInstitutionMember"
      id="x_15a22495-5b55-4551-8274-0d6abf77a431">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-weight:bold;"&gt;An investment in the Fund is not a deposit of a bank and is not insured or guaranteed by the Federal Deposit Insurance Corporation or any other government agency.&lt;/span&gt;</rr:RiskTextBlock>
    <rr:BarChartAndPerformanceTableHeading
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      id="fde3773f-7ba8-4d73-8327-671e7a60bea4">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Annual Total Returns&lt;/span&gt;</rr:BarChartAndPerformanceTableHeading>
    <rr:PerformanceNarrativeTextBlock
      contextRef="RetailMember_S000004384"
      id="x_2c64d365-dc62-4238-8211-a4764e5d35ac">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;The following bar chart and table are intended to help you understand the risks of investing in the Fund. The bar chart shows how the performance of the Fund&#x2019;s Admiral Shares has varied from one calendar year to another over the periods shown. The table shows how the average annual total returns of the Admiral &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;Shares compare with those of the Fund&#x2019;s benchmark index and another comparative index, which have investment characteristics similar to those of the Fund.&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt; Keep in mind that the Fund&#x2019;s past performance (before and after taxes) &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;does not indicate how the Fund will perform in the future.&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt; Updated performance &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;information is available on our website at &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;vanguard.com/performance&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;.&lt;/span&gt;</rr:PerformanceNarrativeTextBlock>
    <rr:PerformanceInformationIllustratesVariabilityOfReturns
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      id="b19bd810-8e43-4035-ac95-0fe542f5a498">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;The following bar chart and table are intended to help you understand the risks of investing in the Fund. The bar chart shows how the performance of the Fund&#x2019;s Admiral Shares has varied from one calendar year to another over the periods shown. The table shows how the average annual total returns of the Admiral &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;Shares compare with those of the Fund&#x2019;s benchmark index and another comparative index, which have investment characteristics similar to those of the Fund.&lt;/span&gt;</rr:PerformanceInformationIllustratesVariabilityOfReturns>
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      id="x_11016cf6-4cfc-467d-8657-10c70ea8188b">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt; Keep in mind that the Fund&#x2019;s past performance (before and after taxes) &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;does not indicate how the Fund will perform in the future.&lt;/span&gt;</rr:PerformancePastDoesNotIndicateFuture>
    <rr:PerformanceAvailabilityWebSiteAddress
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      id="x_02a88882-638e-4106-86b6-5552841af496">&lt;span style="font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;vanguard.com/performance&lt;/span&gt;</rr:PerformanceAvailabilityWebSiteAddress>
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      id="x_0516977b-f29d-4210-8276-09949f663d86">&lt;span style="font-family:Arial;font-size:8pt;font-weight:bold;"&gt;Annual Total Returns &#x2014; Vanguard Tax-Managed Capital Appreciation Fund Admiral Shares&lt;/span&gt;</rr:BarChartHeading>
    <rr:BarChartClosingTextBlock
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      id="x_6d2b4bb3-97a0-4e8e-a4f6-7e431da72c2a">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;During the periods shown in the bar chart, the highest and lowest returns for a calendar quarter were:&lt;/span&gt;</rr:BarChartClosingTextBlock>
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      id="x_09cb9053-e03b-45d8-b353-409ca3db1dd2">&lt;span style="color:#000000;font-family:Arial;font-size:8pt;margin-left:0.0pt;"&gt;Highest&lt;/span&gt;</rr:HighestQuarterlyReturnLabel>
    <rr:BarChartHighestQuarterlyReturn
      contextRef="RetailMember_S000004384_C000012135"
      decimals="4"
      id="b5ebd340-f90a-4945-9f6b-01cae4bcc9a6"
      unitRef="pure">0.2170</rr:BarChartHighestQuarterlyReturn>
    <rr:BarChartHighestQuarterlyReturnDate
      contextRef="RetailMember_S000004384_C000012135"
      id="b2fcbf9e-31dc-43c5-9515-042a94d03dcc">2020-06-30</rr:BarChartHighestQuarterlyReturnDate>
    <rr:LowestQuarterlyReturnLabel
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      id="b65c90cc-d60c-40da-b9e5-cd07c9f64353">&lt;span style="color:#000000;font-family:Arial;font-size:8pt;margin-left:0.0pt;"&gt;Lowest&lt;/span&gt;</rr:LowestQuarterlyReturnLabel>
    <rr:BarChartLowestQuarterlyReturn
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      decimals="4"
      id="x_12637274-830d-433a-883f-824da443523d"
      unitRef="pure">-0.1997</rr:BarChartLowestQuarterlyReturn>
    <rr:BarChartLowestQuarterlyReturnDate
      contextRef="RetailMember_S000004384_C000012135"
      id="x_4570dc1c-19d4-4257-bb10-d1d68bc35b5e">2020-03-31</rr:BarChartLowestQuarterlyReturnDate>
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      id="x_2eeb613a-91da-4874-845f-0a12143e08f1">&lt;span style="font-family:Arial;font-size:8.5pt;font-weight:bold;"&gt;Average Annual Total Returns for Periods Ended December 31, 2024&lt;/span&gt;</rr:PerformanceTableHeading>
    <rr:AverageAnnualReturnYear01
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      decimals="4"
      id="x_4691dfb5-0b3f-4e65-8e53-cd26aeafd861"
      unitRef="pure">0.2376</rr:AverageAnnualReturnYear01>
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      contextRef="RetailMember_S000004384_C000012135_01Jan2020_31Dec2024"
      decimals="4"
      id="x_2f27cb61-172a-4e3d-81f0-dcb1d4eca205"
      unitRef="pure">0.1427</rr:AverageAnnualReturnYear05>
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      contextRef="RetailMember_S000004384_C000012135_01Jan2015_31Dec2024"
      decimals="4"
      id="x_8c0b718d-08de-4eac-9351-e5165a8c6a0b"
      unitRef="pure">0.1300</rr:AverageAnnualReturnYear10>
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      contextRef="RetailMember_S000004384_C000012135_ReturnAfterTaxesonDistributionsMember_01Jan2024_31Dec2024"
      decimals="4"
      id="e14b9dc3-c138-4176-9671-c8796d20c0b5"
      unitRef="pure">0.2344</rr:AverageAnnualReturnYear01>
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      contextRef="RetailMember_S000004384_C000012135_ReturnAfterTaxesonDistributionsMember_01Jan2020_31Dec2024"
      decimals="4"
      id="x_4ac33f16-8c36-4b92-b123-3a05ece058df"
      unitRef="pure">0.1391</rr:AverageAnnualReturnYear05>
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      contextRef="RetailMember_S000004384_C000012135_ReturnAfterTaxesonDistributionsMember_01Jan2015_31Dec2024"
      decimals="4"
      id="x_15798aa3-07b8-4df0-86d0-3fa23a656c4a"
      unitRef="pure">0.1259</rr:AverageAnnualReturnYear10>
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      id="x_163ec7f7-6284-429b-a20c-6d40e39c0a06"
      unitRef="pure">0.1428</rr:AverageAnnualReturnYear01>
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      contextRef="RetailMember_S000004384_C000012135_ReturnAfterTaxesonDistributionsandSaleofFundSharesMember_01Jan2020_31Dec2024"
      decimals="4"
      id="b983610a-a889-4731-b92f-cf25a39fb92e"
      unitRef="pure">0.1140</rr:AverageAnnualReturnYear05>
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      contextRef="RetailMember_S000004384_C000012135_ReturnAfterTaxesonDistributionsandSaleofFundSharesMember_01Jan2015_31Dec2024"
      decimals="4"
      id="a12840d3-a9b4-4226-869c-a91674bf8fbc"
      unitRef="pure">0.1076</rr:AverageAnnualReturnYear10>
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      contextRef="RetailMember_S000004384_Russell1000IndexMember_01Jan2024_31Dec2024"
      decimals="4"
      id="aa970327-244d-40a7-91b6-b9750bb0f2d0"
      unitRef="pure">0.2451</rr:AverageAnnualReturnYear01>
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      contextRef="RetailMember_S000004384_Russell1000IndexMember_01Jan2020_31Dec2024"
      decimals="4"
      id="eaafcaf2-6f6c-4f42-a638-7b2ab75305f7"
      unitRef="pure">0.1428</rr:AverageAnnualReturnYear05>
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      contextRef="RetailMember_S000004384_Russell1000IndexMember_01Jan2015_31Dec2024"
      decimals="4"
      id="x_247bb614-1a14-4190-8a6b-72fb11a501ab"
      unitRef="pure">0.1287</rr:AverageAnnualReturnYear10>
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      contextRef="RetailMember_S000004384_DowJonesUSTotalStockMarketFloatAdjustedIndexMember_01Jan2024_31Dec2024"
      decimals="4"
      id="x_22dac110-6b89-41f4-90f4-1bfebc275765"
      unitRef="pure">0.2388</rr:AverageAnnualReturnYear01>
    <rr:AverageAnnualReturnYear05
      contextRef="RetailMember_S000004384_DowJonesUSTotalStockMarketFloatAdjustedIndexMember_01Jan2020_31Dec2024"
      decimals="4"
      id="x_9e3384bc-8fa9-4bfd-9021-23f1d9e6c804"
      unitRef="pure">0.1378</rr:AverageAnnualReturnYear05>
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      contextRef="RetailMember_S000004384_DowJonesUSTotalStockMarketFloatAdjustedIndexMember_01Jan2015_31Dec2024"
      decimals="4"
      id="bc6291d5-b627-4436-a629-5c41c970020b"
      unitRef="pure">0.1248</rr:AverageAnnualReturnYear10>
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      contextRef="RetailMember_S000004384"
      id="x_03b7e790-08c2-4e2c-adef-801ef239926c">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Actual after-tax returns depend on your tax situation and may differ from those shown in the preceding table. &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;When after-tax returns are calculated, it is &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;assumed that the shareholder was in the highest individual federal marginal income tax bracket at the time of each distribution of income or capital gains or upon redemption. State and local income taxes are not reflected in the calculations. &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Please note that after-tax returns are not relevant for a shareholder &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;who holds fund shares in a tax-deferred account, such as an individual &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;retirement account or a 401(k) plan. &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Also, figures captioned &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Return After Taxes on Distributions and Sale of Fund Shares&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt; may be higher than other figures for the same period if a capital loss occurs upon redemption and results in an assumed tax deduction for the shareholder.&lt;/span&gt;</rr:PerformanceTableClosingTextBlock>
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      id="f9f7fc01-644c-4052-a961-eb3332a2442a">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;When after-tax returns are calculated, it is &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;assumed that the shareholder was in the highest individual federal marginal income tax bracket at the time of each distribution of income or capital gains or upon redemption. State and local income taxes are not reflected in the calculations. &lt;/span&gt;</rr:PerformanceTableUsesHighestFederalRate>
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      id="x_2db54c32-fa39-4979-b904-5c043112aefb">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Please note that after-tax returns are not relevant for a shareholder &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;who holds fund shares in a tax-deferred account, such as an individual &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;retirement account or a 401(k) plan. &lt;/span&gt;</rr:PerformanceTableNotRelevantToTaxDeferred>
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      id="c702d812-99b5-4eac-a822-5018a1bd73bc">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Also, figures captioned &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Return After Taxes on Distributions and Sale of Fund Shares&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt; may be higher than other figures for the same period if a capital loss occurs upon redemption and results in an assumed tax deduction for the shareholder.&lt;/span&gt;</rr:PerformanceTableExplanationAfterTaxHigher>
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      id="x_570ef7b9-a920-4370-b6db-8690c3fc7caf">&lt;span style="color:#000000;font-family:Arial;font-size:13pt;font-weight:bold;"&gt;Vanguard Tax-Managed Small-Cap Fund&lt;/span&gt;</rr:RiskReturnHeading>
    <rr:ObjectiveHeading
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      id="x_8b449a80-1bed-4aad-ad7d-7d92684e48a9">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Investment Objective&lt;/span&gt;</rr:ObjectiveHeading>
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      id="x_8973fa35-6ece-40c3-99a7-7f8fcd56cbed">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;The Fund seeks to provide a tax-efficient return consisting of long-term capital  appreciation while tracking the performance of a benchmark index that measures the investment return of small-capitalization&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;line-height:11.5pt;"&gt; &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;stocks.&lt;/span&gt;</rr:ObjectivePrimaryTextBlock>
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      id="x_18d15132-2f5d-47a3-980e-a95f29b73a14">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Fees and Expenses&lt;/span&gt;</rr:ExpenseHeading>
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      id="c989c03a-c1e6-46e6-b44b-dadd1cb1cd86">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;The following tables describe the fees and expenses you may pay if you buy, hold, and sell Admiral Shares of the Fund. &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-weight:bold;"&gt;You may pay other fees, such as brokerage commissions and other fees to financial intermediaries, which are not reflected in the tables and example below.&lt;/span&gt;</rr:ExpenseNarrativeTextBlock>
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      id="dbdefc94-8ecc-465d-923b-0b60b1c84eef">&lt;span style="color:#000000;font-family:Arial;font-size:8.5pt;font-weight:bold;"&gt;Shareholder Fees&lt;/span&gt;
&lt;br/&gt;&lt;span style="color:#000000;font-family:Arial;font-size:8.5pt;"&gt;(Fees paid directly from your investment)&lt;/span&gt;</rr:ShareholderFeesCaption>
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      id="x_16813951-e577-41e0-b172-3d528bae99cd">&lt;span style="color:#000000;font-family:Arial;font-size:8.5pt;font-weight:bold;"&gt;Annual Fund Operating Expenses&lt;/span&gt;
&lt;br/&gt;&lt;span style="color:#000000;font-family:Arial;font-size:8.5pt;"&gt;(Expenses that you pay each year as a percentage of the value of your investment)&lt;/span&gt;</rr:OperatingExpensesCaption>
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    <rr:ExpenseExampleHeading
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      id="x_55432379-a7a1-427e-82b1-efb163ee69a2">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Example&lt;/span&gt;</rr:ExpenseExampleHeading>
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      id="x_7494f8a9-dc24-4cc9-9643-267cdcdf1aba">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;The following example is intended to help you compare the cost of investing in the Fund&#x2019;s Admiral Shares with the cost of investing in other mutual funds. It illustrates the hypothetical expenses that you would incur over various periods if you were to invest $10,000 in the Fund&#x2019;s shares. This example assumes that the shares provide a return of 5% each year and that total annual fund operating expenses remain as stated in the preceding table. You would incur these hypothetical expenses whether or not you were to redeem your investment at the end of the given period. Although your actual costs may be higher or lower, based on these assumptions your costs would be:&lt;/span&gt;</rr:ExpenseExampleNarrativeTextBlock>
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      decimals="INF"
      id="x_81f470f7-c77a-44f7-afe6-36508b92907c"
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      decimals="INF"
      id="f292407d-28b4-49c3-9441-c967347a2da5"
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    <rr:PortfolioTurnoverHeading
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      id="x_549091a1-d01d-42f8-bad2-fc979c35a293">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Portfolio Turnover&lt;/span&gt;</rr:PortfolioTurnoverHeading>
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      id="x_3c94d16a-ad20-4c4f-b97e-3aac5db4f1aa">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;The Fund pays transaction costs, such as commissions, when it buys and sells securities (or &#x201c;turns over&#x201d; its portfolio). A higher portfolio turnover rate may indicate higher transaction costs and may result in more taxes when Fund shares are held in a taxable account. These costs, which are not reflected in annual fund operating expenses or in the previous expense example, reduce the Fund&#x2019;s performance. During the most recent fiscal year, the Fund&#x2019;s portfolio turnover rate was &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;14&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;% of the average value of its portfolio.&lt;/span&gt;</rr:PortfolioTurnoverTextBlock>
    <rr:PortfolioTurnoverRate
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      decimals="4"
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    <rr:StrategyHeading
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      id="x_9b8ac027-b175-4f81-b3a8-52574d6a7674">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Principal Investment Strategies&lt;/span&gt;</rr:StrategyHeading>
    <rr:StrategyNarrativeTextBlock
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      id="b1e3df26-ea0f-43d8-98a0-1bf47bd623a0">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;The Fund purchases stocks included in the S&amp;amp;P SmallCap 600 Index (the Index)&#x2014;an index that is made up of the stocks of small-capitalization U.S. companies. The Fund uses statistical methods to &#x201c;sample&#x201d; the Index, aiming to ensure capital gains and income tax efficiency while approximating other characteristics and the performance of the Index.&lt;/span&gt;</rr:StrategyNarrativeTextBlock>
    <rr:RiskHeading
      contextRef="RetailMember_S000004387"
      id="c7a5b008-9904-4d44-b988-979a4a4a5580">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Principal Risks&lt;/span&gt;</rr:RiskHeading>
    <rr:RiskTextBlock
      contextRef="RetailMember_S000004387"
      id="x_7ef5647a-3104-4c8f-a48d-90adce6595fa">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;An investment in the Fund could lose money over short or long periods of time.&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;You should expect the Fund&#x2019;s share price and total return to fluctuate within a wide range. The Fund is subject to the following risks, which could affect the Fund&#x2019;s performance:&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Tax-managed investing risk&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;, which is the chance that market conditions or other circumstances may limit the Fund&#x2019;s ability to generate tax losses or to generate dividend income taxed at favorable tax rates. The Fund&#x2019;s tax-managed strategy may cause the Fund to hold a security in order to achieve more favorable tax-treatment or to sell a security in order to create tax losses, which may impact returns. Although the Fund intends to track the performance of the Index, the tracking may fluctuate periodically based on the sampling of the Index for tax efficiency.&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Indexing risks.&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt; The Fund is subject to risks associated with index investing. Because the Fund does not hold all of the securities included in the Index, it is subject to the risk that the representative sample of securities selected by the advisor will, in the aggregate, vary from the investment profile of the full Index. Additionally, the performance of the Fund&#x2019;s investments, in the aggregate, may not match the investment performance of the Index. This risk, known as tracking error risk, may be heightened during times of increased market volatility or under other unusual market conditions. The Fund also could be negatively impacted by changes to the Index made by the Index provider or by errors made by the Index provider. Any gains, losses, or costs associated with or resulting from an error made by the Index provider will generally be borne by the Fund and, as a result, the Fund&#x2019;s shareholders.&lt;/span&gt;</rr:RiskTextBlock>
    <rr:RiskTextBlock
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      id="ee322b51-5022-4790-9356-590f5c97024f">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;An investment in the Fund could lose money over short or long periods of time.&lt;/span&gt;</rr:RiskTextBlock>
    <rr:RiskTextBlock
      contextRef="RetailMember_S000004387_StockMarketRiskMember"
      id="x_1de5a8c2-c0f9-48af-bf9e-6a5b4eafc9c3">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Stock market risk&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;, which is the chance that stock prices overall will decline. Stock markets tend to move in cycles, with periods of rising prices and periods of falling prices. The Fund&#x2019;s benchmark index tracks a subset of the U.S. stock market, which could cause the Fund to perform differently from the overall stock market. In addition, the Fund&#x2019;s benchmark index may, at times, become focused &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;in stocks of a particular market sector, which would subject the Fund to proportionately higher exposure to the risks of that sector.&lt;/span&gt;</rr:RiskTextBlock>
    <rr:RiskTextBlock
      contextRef="RetailMember_S000004387_InvestmentStyleRiskMember"
      id="x_02fa6733-823b-475e-bd2b-a6483cbec9f5">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Investment style risk&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;, which is the chance that returns from small-capitalization stocks will trail returns from the overall stock market. Historically, small-cap stocks have been more volatile in price than the large-cap stocks that dominate the overall market, and they often perform quite differently. The stock prices of small companies tend to experience greater volatility because, among other things, these companies tend to be more sensitive to changing economic conditions.&lt;/span&gt;</rr:RiskTextBlock>
    <rr:RiskTextBlock
      contextRef="RetailMember_S000004387_RiskNotInsuredDepositoryInstitutionMember"
      id="x_3c910f19-01c6-4b5a-a45a-1ebc08839660">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-weight:bold;"&gt;An investment in the Fund is not a deposit of a bank and is not insured or guaranteed by the Federal Deposit Insurance Corporation or any other government agency.&lt;/span&gt;</rr:RiskTextBlock>
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      id="f261d0d1-4609-4fc6-bf48-65b95feecd96">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Annual Total Returns&lt;/span&gt;</rr:BarChartAndPerformanceTableHeading>
    <rr:PerformanceNarrativeTextBlock
      contextRef="RetailMember_S000004387"
      id="b0259248-b9b7-4932-a925-ddc88552eded">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;The following bar chart and table are intended to help you understand the risks of investing in the Fund. The bar chart shows how the performance of the Fund&#x2019;s Admiral Shares has varied from one calendar year to another over the periods shown. The table shows how the average annual total returns of the Admiral Shares compare with those of the Fund&#x2019;s benchmark index and another comparative index, which have investment characteristics similar to those of the &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;Fund.&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt; Keep in mind that the Fund&#x2019;s past performance (before and after taxes) &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;does not indicate how the Fund will perform in the future.&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt; Updated performance &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;information is available on our website at &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;vanguard.com/performance&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;.&lt;/span&gt;</rr:PerformanceNarrativeTextBlock>
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      id="a5c0250f-e4f3-437e-a214-abc2f93fc15b">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;The following bar chart and table are intended to help you understand the risks of investing in the Fund. The bar chart shows how the performance of the Fund&#x2019;s Admiral Shares has varied from one calendar year to another over the periods shown. The table shows how the average annual total returns of the Admiral Shares compare with those of the Fund&#x2019;s benchmark index and another comparative index, which have investment characteristics similar to those of the &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;Fund.&lt;/span&gt;</rr:PerformanceInformationIllustratesVariabilityOfReturns>
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      id="x_39c5a8e8-472e-462b-baec-81eedd85878b">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt; Keep in mind that the Fund&#x2019;s past performance (before and after taxes) &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;does not indicate how the Fund will perform in the future.&lt;/span&gt;</rr:PerformancePastDoesNotIndicateFuture>
    <rr:PerformanceAvailabilityWebSiteAddress
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      id="x_318ea2ea-2caa-4246-90de-e65b838dca82">&lt;span style="font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;vanguard.com/performance&lt;/span&gt;</rr:PerformanceAvailabilityWebSiteAddress>
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      id="e35301a1-2a20-4430-9df4-19f1479ddd25">&lt;span style="font-family:Arial;font-size:8pt;font-weight:bold;"&gt;Annual Total Returns &#x2014; Vanguard Tax-Managed Small-Cap Fund Admiral Shares&lt;/span&gt;</rr:BarChartHeading>
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      id="e45fb9d5-7456-42cc-954f-ec13bd4acc00">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;During the periods shown in the bar chart, the highest and lowest returns for a calendar quarter were:&lt;/span&gt;</rr:BarChartClosingTextBlock>
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      id="e6a638d0-6ba4-4952-aae4-62a1c2936d83">&lt;span style="color:#000000;font-family:Arial;font-size:8pt;margin-left:0.0pt;"&gt;Highest&lt;/span&gt;</rr:HighestQuarterlyReturnLabel>
    <rr:BarChartHighestQuarterlyReturn
      contextRef="RetailMember_S000004387_C000012142"
      decimals="4"
      id="x_2c2cce53-8596-49de-8567-8bfc28696c25"
      unitRef="pure">0.3076</rr:BarChartHighestQuarterlyReturn>
    <rr:BarChartHighestQuarterlyReturnDate
      contextRef="RetailMember_S000004387_C000012142"
      id="x_37c71284-853a-46fc-8fb5-8e30b71eabe3">2020-12-31</rr:BarChartHighestQuarterlyReturnDate>
    <rr:LowestQuarterlyReturnLabel
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      id="x_977ad0ad-62cf-4284-a6ee-dc557eab52a2">&lt;span style="color:#000000;font-family:Arial;font-size:8pt;margin-left:0.0pt;"&gt;Lowest&lt;/span&gt;</rr:LowestQuarterlyReturnLabel>
    <rr:BarChartLowestQuarterlyReturn
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      decimals="4"
      id="x_764d10b1-9c18-4425-9e0e-8c93ed742263"
      unitRef="pure">-0.3224</rr:BarChartLowestQuarterlyReturn>
    <rr:BarChartLowestQuarterlyReturnDate
      contextRef="RetailMember_S000004387_C000012142"
      id="x_2788991f-c89f-43b9-b162-32590b4722aa">2020-03-31</rr:BarChartLowestQuarterlyReturnDate>
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      id="e3843527-f1cf-4706-90d5-94e3bc61bb3c">&lt;span style="font-family:Arial;font-size:8.5pt;font-weight:bold;"&gt;Average Annual Total Returns for Periods Ended December 31, 2024&lt;/span&gt;</rr:PerformanceTableHeading>
    <rr:AverageAnnualReturnYear01
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      decimals="4"
      id="x_974e14cf-aded-4442-a12e-70ebeab2978f"
      unitRef="pure">0.0861</rr:AverageAnnualReturnYear01>
    <rr:AverageAnnualReturnYear05
      contextRef="RetailMember_S000004387_C000012142_01Jan2020_31Dec2024"
      decimals="4"
      id="x_54ba9960-117f-43c7-afdb-74433fb29c2e"
      unitRef="pure">0.0831</rr:AverageAnnualReturnYear05>
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      contextRef="RetailMember_S000004387_C000012142_01Jan2015_31Dec2024"
      decimals="4"
      id="ee95368a-a768-4d09-8d39-9825911c7206"
      unitRef="pure">0.0888</rr:AverageAnnualReturnYear10>
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      contextRef="RetailMember_S000004387_C000012142_ReturnAfterTaxesonDistributionsMember_01Jan2024_31Dec2024"
      decimals="4"
      id="b7aa8dbb-852e-40d6-b0ea-d4dedfd43218"
      unitRef="pure">0.0820</rr:AverageAnnualReturnYear01>
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      id="x_2dca65f8-1414-4503-a545-3a577723bc77">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Actual after-tax returns depend on your tax situation and may differ from those shown in the preceding table. &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;When after-tax returns are calculated, it is &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;assumed that the shareholder was in the highest individual federal marginal income tax bracket at the time of each distribution of income or capital gains or upon redemption. State and local income taxes are not reflected in the calculations. &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Please note that after-tax returns are not relevant for a shareholder &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;who holds fund shares in a tax-deferred account, such as an individual retirement account or a 401(k) plan. &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Also, figures captioned &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Return After Taxes &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;on Distributions and Sale of Fund Shares&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt; may be higher than other figures for the same period if a capital loss occurs upon redemption and results in an assumed tax deduction for the shareholder.&lt;/span&gt;</rr:PerformanceTableClosingTextBlock>
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      id="x_54d969b2-1c42-41ff-ab2e-52cf4b358b22">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;When after-tax returns are calculated, it is &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;assumed that the shareholder was in the highest individual federal marginal income tax bracket at the time of each distribution of income or capital gains or upon redemption. State and local income taxes are not reflected in the calculations. &lt;/span&gt;</rr:PerformanceTableUsesHighestFederalRate>
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      id="f33ccffd-e424-4ac0-9280-981355f8ff3a">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Please note that after-tax returns are not relevant for a shareholder &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;who holds fund shares in a tax-deferred account, such as an individual retirement account or a 401(k) plan. &lt;/span&gt;</rr:PerformanceTableNotRelevantToTaxDeferred>
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      id="c5dfe0bc-5496-4196-b41a-2a8d53a8630b">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Also, figures captioned &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Return After Taxes &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;on Distributions and Sale of Fund Shares&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt; may be higher than other figures for the same period if a capital loss occurs upon redemption and results in an assumed tax deduction for the shareholder.&lt;/span&gt;</rr:PerformanceTableExplanationAfterTaxHigher>
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      id="bf75cdc1-a7f7-44b0-a8ad-845cb059340f">&lt;span style="color:#000000;font-family:Arial;font-size:13pt;font-weight:bold;"&gt;Vanguard Tax-Managed Capital Appreciation Fund&lt;/span&gt;</rr:RiskReturnHeading>
    <rr:ObjectiveHeading
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      id="x_6142452c-2dec-439d-8686-baa72f662b1e">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Investment Objective&lt;/span&gt;</rr:ObjectiveHeading>
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      id="da179dad-80a2-4eda-afa9-7b0a00ca9cf0">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;The Fund seeks to provide a tax-efficient return consisting of long-term capital  appreciation while tracking the performance of a benchmark index that measures the investment return of large- and mid-capitalization&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;line-height:11.5pt;"&gt; &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;stocks.&lt;/span&gt;</rr:ObjectivePrimaryTextBlock>
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      id="x_368e539f-47f1-462e-9ee8-96fb2ee71fb0">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Fees and Expenses&lt;/span&gt;</rr:ExpenseHeading>
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      id="d338eaf5-51ac-4209-9a82-67049d2184b1">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;The following tables describe the fees and expenses you may pay if you buy, hold, and sell Institutional Shares of the Fund. &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-weight:bold;"&gt;You may pay other fees, such as brokerage commissions and other fees to financial intermediaries, which are not reflected in the tables and example below.&lt;/span&gt;</rr:ExpenseNarrativeTextBlock>
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      id="x_9383ebb2-a304-4047-a30b-bc5734ebe57d">&lt;span style="color:#000000;font-family:Arial;font-size:8.5pt;font-weight:bold;"&gt;Shareholder Fees&lt;/span&gt;
&lt;br/&gt;&lt;span style="color:#000000;font-family:Arial;font-size:8.5pt;"&gt;(Fees paid directly from your investment)&lt;/span&gt;</rr:ShareholderFeesCaption>
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      id="fc8c4a24-2204-4589-b4a2-3a9efa203257">&lt;span style="color:#000000;font-family:Arial;font-size:8.5pt;font-weight:bold;"&gt;Annual Fund Operating Expenses&lt;/span&gt;
&lt;br/&gt;&lt;span style="color:#000000;font-family:Arial;font-size:8.5pt;"&gt;(Expenses that you pay each year as a percentage of the value of your investment)&lt;/span&gt;</rr:OperatingExpensesCaption>
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      id="ce8d4363-be8f-441c-9a57-eaac75e7ccfe">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Example&lt;/span&gt;</rr:ExpenseExampleHeading>
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      id="x_9c0a2e21-b3eb-40f2-a928-3638a7840c8d">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;The following example is intended to help you compare the cost of investing in the Fund&#x2019;s Institutional Shares with the cost of investing in other mutual funds. It illustrates the hypothetical expenses that you would incur over various periods if you were to invest $10,000 in the Fund&#x2019;s shares. This example assumes that the shares provide a return of 5% each year and that total annual fund operating expenses remain as stated in the preceding table. You would incur these hypothetical expenses whether or not you were to redeem your investment at the end of the given period. Although your actual costs may be higher or lower, based on these assumptions your costs would be:&lt;/span&gt;</rr:ExpenseExampleNarrativeTextBlock>
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      decimals="INF"
      id="daf83f36-56fe-424f-8b77-bd67d1290c94"
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      decimals="INF"
      id="abe4b405-ecb0-4e40-b6c7-eb81254992e6"
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      id="x_71f802a1-839f-4b99-aaed-a4c90737cb18">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Portfolio Turnover&lt;/span&gt;</rr:PortfolioTurnoverHeading>
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      id="x_809a670e-2088-459d-bbc9-fc69e2b2ea43">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;The Fund pays transaction costs, such as commissions, when it buys and sells securities (or &#x201c;turns over&#x201d; its portfolio). A higher portfolio turnover rate may indicate higher transaction costs and may result in more taxes when Fund shares are held in a taxable account. These costs, which are not reflected in annual fund operating expenses or in the previous expense example, reduce the Fund&#x2019;s performance. During the most recent fiscal year, the Fund&#x2019;s portfolio turnover rate was &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;10&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;% of the average value of its portfolio.&lt;/span&gt;</rr:PortfolioTurnoverTextBlock>
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      decimals="4"
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    <rr:StrategyHeading
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      id="x_560b2b40-0983-41be-a054-25f755005ab2">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Principal Investment Strategies&lt;/span&gt;</rr:StrategyHeading>
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      id="f761bece-4bf0-408f-a0f9-1f1c45baa233">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;The Fund purchases stocks that are included in the Russell 1000 Index (the Index)&#x2014;an index that is made up of the stocks of large- and mid-capitalization U.S. companies. The Fund uses statistical methods to &#x201c;sample&#x201d; the Index, aiming to ensure capital gains and income tax efficiency while approximating other characteristics and the performance of the&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;line-height:11.5pt;"&gt; &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;Index.&lt;/span&gt;</rr:StrategyNarrativeTextBlock>
    <rr:RiskHeading
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      id="x_99a62883-f9b0-4951-a8de-765fff25abc2">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Principal Risks&lt;/span&gt;</rr:RiskHeading>
    <rr:RiskTextBlock
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      id="c363105e-c6c2-4091-9b7e-b444430affda">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;An investment in the Fund could lose money over short or long periods of time.&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;You should expect the Fund&#x2019;s share price and total return to fluctuate within a wide range. The Fund is subject to the following risks, which could affect the Fund&#x2019;s performance:&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Tax-managed investing risk&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;, which is the chance that market conditions or other circumstances may limit the Fund&#x2019;s ability to generate tax losses or to generate dividend income taxed at favorable tax rates. The Fund&#x2019;s tax-managed strategy may cause the Fund to hold a security in order to achieve more favorable tax-treatment or to sell a security in order to create tax losses, which may impact returns. Although the Fund intends to track the performance of the Index, the tracking may fluctuate periodically based on the sampling of the Index for tax efficiency.&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Indexing risks.&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt; The Fund is subject to risks associated with index investing. Because the Fund does not hold all of the securities included in the Index, it is subject to the risk that the representative sample of securities selected by the advisor will, in the aggregate, vary from the investment profile of the full Index. Additionally, the performance of the Fund&#x2019;s investments, in the aggregate, may not match the investment performance of the Index. This risk, known as tracking error risk, may be heightened during times of increased market volatility or under other unusual market conditions. The Fund also could be negatively impacted by changes to the Index made by the Index provider or by errors made by the Index provider. Any gains, losses, or costs associated with or resulting from an error made by the Index provider will generally be borne by the Fund and, as a result, the Fund&#x2019;s shareholders.&lt;/span&gt;</rr:RiskTextBlock>
    <rr:RiskTextBlock
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      id="x_84456832-6a27-4342-b29a-09725f6aea3e">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;An investment in the Fund could lose money over short or long periods of time.&lt;/span&gt;</rr:RiskTextBlock>
    <rr:RiskTextBlock
      contextRef="InstitutionalMember_S000004384_StockMarketRiskMember"
      id="x_993937b1-2a18-48cb-85fc-bc710b0841ea">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Stock market risk&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;, which is the chance that stock prices overall will decline. Stock markets tend to move in cycles, with periods of rising prices and periods of falling prices. The Fund&#x2019;s benchmark index tracks a subset of the U.S. stock market, which could cause the Fund to perform differently from the overall stock market. In addition, the Fund&#x2019;s benchmark index may, at times, become focused &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;in stocks of a particular market sector, which would subject the Fund to proportionately higher exposure to the risks of that sector.&lt;/span&gt;</rr:RiskTextBlock>
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      id="x_648bc659-2ed9-4e11-8416-248fc48706dc">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Investment style risk&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;, which is the chance that returns from large- and mid-capitalization stocks will trail returns from the overall stock market. Large- and mid-cap stocks each tend to go through cycles of doing better&#x2014;or worse&#x2014;than other segments of the stock market or the stock market in general. These periods have, in the past, lasted for as long as several years. Historically, mid-cap stocks have been more volatile in price than large-cap stocks. The stock prices of mid-size companies tend to experience greater volatility because, among other things, these companies tend to be more sensitive to changing economic conditions.&lt;/span&gt;</rr:RiskTextBlock>
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      id="ba402fd9-b570-424f-a644-935b11fff78d">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-weight:bold;"&gt;An investment in the Fund is not a deposit of a bank and is not insured or guaranteed by the Federal Deposit Insurance Corporation or any other government agency.&lt;/span&gt;</rr:RiskTextBlock>
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      id="x_6bee4682-3cdd-4206-a890-465a74380310">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Annual Total Returns&lt;/span&gt;</rr:BarChartAndPerformanceTableHeading>
    <rr:PerformanceNarrativeTextBlock
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      id="x_0ea1e52b-aed7-4bb8-8f6b-feea8fc05232">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;The following bar chart and table are intended to help you understand the risks of investing in the Fund. The bar chart shows how the performance of the Fund&#x2019;s Institutional Shares has varied from one calendar year to another over the periods shown. The table shows how the average annual total returns of the &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;Institutional Shares compare with those of the Fund&#x2019;s benchmark index and another comparative index, which have investment characteristics similar to those of the Fund.&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt; Keep in mind that the Fund&#x2019;s past performance (before and &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;after taxes) does not indicate how the Fund will perform in the future.&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt; Updated &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;performance information is available on our website at &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;vanguard.com/performance&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;.&lt;/span&gt;</rr:PerformanceNarrativeTextBlock>
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      id="aac18772-9536-44a1-a17e-ab9052a7ab5f">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;The following bar chart and table are intended to help you understand the risks of investing in the Fund. The bar chart shows how the performance of the Fund&#x2019;s Institutional Shares has varied from one calendar year to another over the periods shown. The table shows how the average annual total returns of the &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;Institutional Shares compare with those of the Fund&#x2019;s benchmark index and another comparative index, which have investment characteristics similar to those of the Fund.&lt;/span&gt;</rr:PerformanceInformationIllustratesVariabilityOfReturns>
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      id="bf72be85-5926-406c-bd23-4a2ac0fb1560">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt; Keep in mind that the Fund&#x2019;s past performance (before and &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;after taxes) does not indicate how the Fund will perform in the future.&lt;/span&gt;</rr:PerformancePastDoesNotIndicateFuture>
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      id="c91d6714-60bc-4931-997e-2ffe0149fac1">&lt;span style="font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;vanguard.com/performance&lt;/span&gt;</rr:PerformanceAvailabilityWebSiteAddress>
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      id="x_848d0582-d799-4e88-9c55-386528ed50e4">&lt;span style="font-family:Arial;font-size:8pt;font-weight:bold;"&gt;Annual Total Returns &#x2014; Vanguard Tax-Managed Capital Appreciation Fund Institutional Shares&lt;/span&gt;</rr:BarChartHeading>
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      id="x_8f1bb8ff-001f-45bd-9819-d7e3355114fa">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;During the periods shown in the bar chart, the highest and lowest returns for a calendar quarter were:&lt;/span&gt;</rr:BarChartClosingTextBlock>
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      id="afc5005c-c13f-40e8-863e-a95e2544430f">&lt;span style="color:#000000;font-family:Arial;font-size:8pt;margin-left:0.0pt;"&gt;Highest&lt;/span&gt;</rr:HighestQuarterlyReturnLabel>
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      decimals="4"
      id="da5fea99-a296-461a-a9fa-2b34a30e26f5"
      unitRef="pure">0.2171</rr:BarChartHighestQuarterlyReturn>
    <rr:BarChartHighestQuarterlyReturnDate
      contextRef="InstitutionalMember_S000004384_C000012136"
      id="bd1ed771-ba2f-4d72-8f5f-0080fa629d3e">2020-06-30</rr:BarChartHighestQuarterlyReturnDate>
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      id="x_3affd25b-c1f5-497a-859e-2514b92f76ea">&lt;span style="color:#000000;font-family:Arial;font-size:8pt;margin-left:0.0pt;"&gt;Lowest&lt;/span&gt;</rr:LowestQuarterlyReturnLabel>
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      decimals="4"
      id="bc19daa8-15d9-4e25-a6ab-94e8311a698c"
      unitRef="pure">-0.1996</rr:BarChartLowestQuarterlyReturn>
    <rr:BarChartLowestQuarterlyReturnDate
      contextRef="InstitutionalMember_S000004384_C000012136"
      id="x_64e326cb-9d57-46f7-8fdf-afc2816dab5a">2020-03-31</rr:BarChartLowestQuarterlyReturnDate>
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      id="d5d04b2e-47a1-4c37-bccd-defce7d10a8d">&lt;span style="font-family:Arial;font-size:8.5pt;font-weight:bold;"&gt;Average Annual Total Returns for Periods Ended December 31, 2024&lt;/span&gt;</rr:PerformanceTableHeading>
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      decimals="4"
      id="x_292c964a-55c3-4833-b0fe-046aaa29b458"
      unitRef="pure">0.2381</rr:AverageAnnualReturnYear01>
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      decimals="4"
      id="x_3bd6d8b7-ff9a-448d-b24f-31544b30db98"
      unitRef="pure">0.1430</rr:AverageAnnualReturnYear05>
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      decimals="4"
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      unitRef="pure">0.1303</rr:AverageAnnualReturnYear10>
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      decimals="4"
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      unitRef="pure">0.2348</rr:AverageAnnualReturnYear01>
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      contextRef="InstitutionalMember_S000004384_C000012136_ReturnAfterTaxesonDistributionsMember_01Jan2020_31Dec2024"
      decimals="4"
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      contextRef="InstitutionalMember_S000004384_C000012136_ReturnAfterTaxesonDistributionsMember_01Jan2015_31Dec2024"
      decimals="4"
      id="x_92134388-5347-4194-8b84-d9fe4346717b"
      unitRef="pure">0.1261</rr:AverageAnnualReturnYear10>
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      contextRef="InstitutionalMember_S000004384_C000012136_ReturnAfterTaxesonDistributionsandSaleofFundSharesMember_01Jan2024_31Dec2024"
      decimals="4"
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      unitRef="pure">0.1431</rr:AverageAnnualReturnYear01>
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      contextRef="InstitutionalMember_S000004384_C000012136_ReturnAfterTaxesonDistributionsandSaleofFundSharesMember_01Jan2020_31Dec2024"
      decimals="4"
      id="f9567f42-6a1b-413e-a947-ac3298ef571f"
      unitRef="pure">0.1142</rr:AverageAnnualReturnYear05>
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      contextRef="InstitutionalMember_S000004384_C000012136_ReturnAfterTaxesonDistributionsandSaleofFundSharesMember_01Jan2015_31Dec2024"
      decimals="4"
      id="x_75711004-f715-4a90-a997-338b0e8ab7d4"
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      contextRef="InstitutionalMember_S000004384_Russell1000IndexMember_01Jan2024_31Dec2024"
      decimals="4"
      id="d0ba320b-4982-401e-8c4b-e0ea494480e2"
      unitRef="pure">0.2451</rr:AverageAnnualReturnYear01>
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      contextRef="InstitutionalMember_S000004384_Russell1000IndexMember_01Jan2020_31Dec2024"
      decimals="4"
      id="x_0acbc409-4c1b-4de8-89ba-e34d9fb8e694"
      unitRef="pure">0.1428</rr:AverageAnnualReturnYear05>
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      contextRef="InstitutionalMember_S000004384_Russell1000IndexMember_01Jan2015_31Dec2024"
      decimals="4"
      id="x_9c10cc0f-6e3f-416b-9fba-102481a67134"
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      contextRef="InstitutionalMember_S000004384_DowJonesUSTotalStockMarketFloatAdjustedIndexMember_01Jan2024_31Dec2024"
      decimals="4"
      id="e417c8a1-063d-449a-9778-ec649dbcf10d"
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      contextRef="InstitutionalMember_S000004384_DowJonesUSTotalStockMarketFloatAdjustedIndexMember_01Jan2020_31Dec2024"
      decimals="4"
      id="e6676b79-4aa8-4a87-8bdd-91d290a7301e"
      unitRef="pure">0.1378</rr:AverageAnnualReturnYear05>
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      contextRef="InstitutionalMember_S000004384_DowJonesUSTotalStockMarketFloatAdjustedIndexMember_01Jan2015_31Dec2024"
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      id="x_8d8992ba-d952-4601-b5dc-cc9fd68f80fd"
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      id="c159b2c4-6dc5-44de-a7ea-ef921a9b3aa7">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Actual after-tax returns depend on your tax situation and may differ from those shown in the preceding table. &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;When after-tax returns are calculated, it is &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;assumed that the shareholder was in the highest individual federal marginal income tax bracket at the time of each distribution of income or capital gains or upon redemption. State and local income taxes are not reflected in the calculations. &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Please note that after-tax returns are not relevant for a shareholder &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;who holds fund shares in a tax-deferred account, such as an individual retirement account or a 401(k) plan. &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Also, figures captioned &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Return After Taxes on Distributions and Sale of Fund Shares&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt; may be higher than other figures for the same period if a capital loss occurs upon redemption and results in an assumed tax deduction for the shareholder.&lt;/span&gt;</rr:PerformanceTableClosingTextBlock>
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      id="x_2e57414d-f7b3-47e3-be14-ac9747a0195a">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;When after-tax returns are calculated, it is &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;assumed that the shareholder was in the highest individual federal marginal income tax bracket at the time of each distribution of income or capital gains or upon redemption. State and local income taxes are not reflected in the calculations. &lt;/span&gt;</rr:PerformanceTableUsesHighestFederalRate>
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      id="a8616d70-5499-4bf7-93ea-4da9d80ee3af">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Please note that after-tax returns are not relevant for a shareholder &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;who holds fund shares in a tax-deferred account, such as an individual retirement account or a 401(k) plan. &lt;/span&gt;</rr:PerformanceTableNotRelevantToTaxDeferred>
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      id="x_6e9b42d9-dbd8-4792-ae73-6ce516423ff1">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Also, figures captioned &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Return After Taxes on Distributions and Sale of Fund Shares&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt; may be higher than other figures for the same period if a capital loss occurs upon redemption and results in an assumed tax deduction for the shareholder.&lt;/span&gt;</rr:PerformanceTableExplanationAfterTaxHigher>
    <rr:RiskReturnHeading
      contextRef="InstitutionalMember_S000004387"
      id="x_03590bd9-0ac7-40a5-a807-27fadf869eaa">&lt;span style="color:#000000;font-family:Arial;font-size:13pt;font-weight:bold;"&gt;Vanguard Tax-Managed Small-Cap Fund&lt;/span&gt;</rr:RiskReturnHeading>
    <rr:ObjectiveHeading
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      id="d09b4ae1-32e1-43b0-9df4-534f348e1556">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Investment Objective&lt;/span&gt;</rr:ObjectiveHeading>
    <rr:ObjectivePrimaryTextBlock
      contextRef="InstitutionalMember_S000004387"
      id="x_1013d8e4-79d8-490f-8614-cbb1c9caecb4">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;The Fund seeks to provide a tax-efficient return consisting of long-term capital  appreciation while tracking the performance of a benchmark index that measures the investment return of small-capitalization&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;line-height:11.5pt;"&gt; &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;stocks.&lt;/span&gt;</rr:ObjectivePrimaryTextBlock>
    <rr:ExpenseHeading
      contextRef="InstitutionalMember_S000004387"
      id="bda59728-ba7c-4c46-adf8-ce3a01939f6d">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Fees and Expenses&lt;/span&gt;</rr:ExpenseHeading>
    <rr:ExpenseNarrativeTextBlock
      contextRef="InstitutionalMember_S000004387"
      id="x_9a7b1220-0845-450b-ba55-7e343d9c3faa">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;The following tables describe the fees and expenses you may pay if you buy, hold, and sell Institutional Shares of the Fund. &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-weight:bold;"&gt;You may pay other fees, such as brokerage commissions and other fees to financial intermediaries, which are not reflected in the tables and example below.&lt;/span&gt;</rr:ExpenseNarrativeTextBlock>
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      id="x_2bde7e0f-b1a9-46fa-9ef4-78522b447999">&lt;span style="color:#000000;font-family:Arial;font-size:8.5pt;font-weight:bold;"&gt;Shareholder Fees&lt;/span&gt;
&lt;br/&gt;&lt;span style="color:#000000;font-family:Arial;font-size:8.5pt;"&gt;(Fees paid directly from your investment)&lt;/span&gt;</rr:ShareholderFeesCaption>
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      decimals="4"
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      decimals="4"
      id="x_56f4c744-ea18-4e43-b426-36f5456213d0"
      unitRef="pure">0</rr:MaximumSalesChargeOnReinvestedDividendsAndDistributionsOverOther>
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      decimals="4"
      id="x_4c2ba997-7dce-4f15-a4e9-f56a361ea4c0"
      unitRef="pure">0</rr:RedemptionFeeOverRedemption>
    <rr:OperatingExpensesCaption
      contextRef="InstitutionalMember_S000004387"
      id="cdb66d63-691e-4308-9432-df2bc15810f0">&lt;span style="color:#000000;font-family:Arial;font-size:8.5pt;font-weight:bold;"&gt;Annual Fund Operating Expenses&lt;/span&gt;
&lt;br/&gt;&lt;span style="color:#000000;font-family:Arial;font-size:8.5pt;"&gt;(Expenses that you pay each year as a percentage of the value of your investment)&lt;/span&gt;</rr:OperatingExpensesCaption>
    <rr:ManagementFeesOverAssets
      contextRef="InstitutionalMember_S000004387_C000012143"
      decimals="4"
      id="e721e0d9-78f9-43b4-8776-42d1ba9753dd"
      unitRef="pure">0.0006</rr:ManagementFeesOverAssets>
    <rr:DistributionAndService12b1FeesOverAssets
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      decimals="4"
      id="x_96524cf4-d204-47f0-98dd-8f5bd258fe75"
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    <rr:OtherExpensesOverAssets
      contextRef="InstitutionalMember_S000004387_C000012143"
      decimals="4"
      id="d976d4b3-3dcf-459a-bedc-a9a3674d4052"
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      contextRef="InstitutionalMember_S000004387_C000012143"
      decimals="4"
      id="x_977360a6-0e52-47df-b8a5-df39fcc79165"
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    <rr:ExpenseExampleHeading
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      id="c2901f8d-2f0b-4ec3-a289-80082166529f">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Example&lt;/span&gt;</rr:ExpenseExampleHeading>
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      id="x_3d3f94cc-f077-455c-a110-2e72c60bf10a">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;The following example is intended to help you compare the cost of investing in the Fund&#x2019;s Institutional Shares with the cost of investing in other mutual funds. It illustrates the hypothetical expenses that you would incur over various periods if you were to invest $10,000 in the Fund&#x2019;s shares. This example assumes that the shares provide a return of 5% each year and that total annual fund operating expenses remain as stated in the preceding table. You would incur these hypothetical expenses whether or not you were to redeem your investment at the end of the given period. Although your actual costs may be higher or lower, based on these assumptions your costs would be:&lt;/span&gt;</rr:ExpenseExampleNarrativeTextBlock>
    <rr:ExpenseExampleYear01
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      decimals="INF"
      id="x_61fff980-29b9-45d3-991f-05dd00520cbd"
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    <rr:ExpenseExampleYear03
      contextRef="InstitutionalMember_S000004387_C000012143"
      decimals="INF"
      id="x_1954a399-d7bd-4e32-bc79-e65e22918092"
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    <rr:ExpenseExampleYear05
      contextRef="InstitutionalMember_S000004387_C000012143"
      decimals="INF"
      id="x_6704149f-a67c-4920-b738-49f0adfe8702"
      unitRef="USD">34</rr:ExpenseExampleYear05>
    <rr:ExpenseExampleYear10
      contextRef="InstitutionalMember_S000004387_C000012143"
      decimals="INF"
      id="eb619085-1896-4907-850c-57404e133e0c"
      unitRef="USD">77</rr:ExpenseExampleYear10>
    <rr:PortfolioTurnoverHeading
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      id="bd59a388-3d61-469d-bd16-828a1a13c426">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;Portfolio Turnover&lt;/span&gt;</rr:PortfolioTurnoverHeading>
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      id="d3a2fb6a-4daa-45f9-b1aa-801ddb695158">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;The Fund pays transaction costs, such as commissions, when it buys and sells securities (or &#x201c;turns over&#x201d; its portfolio). A higher portfolio turnover rate may indicate higher transaction costs and may result in more taxes when Fund shares are held in a taxable account. These costs, which are not reflected in annual fund operating expenses or in the previous expense example, reduce the Fund&#x2019;s performance. During the most recent fiscal year, the Fund&#x2019;s portfolio turnover rate was &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;14&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;% of the average value of its portfolio.&lt;/span&gt;</rr:PortfolioTurnoverTextBlock>
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      contextRef="InstitutionalMember_S000004387"
      decimals="4"
      id="x_48c5d98b-77a4-454a-99da-2d7648159cbc"
      unitRef="pure">0.14</rr:PortfolioTurnoverRate>
    <rr:StrategyHeading
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      id="x_0f91fe73-aa32-4f77-93d2-8ba503133818">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Principal Investment Strategies&lt;/span&gt;</rr:StrategyHeading>
    <rr:StrategyNarrativeTextBlock
      contextRef="InstitutionalMember_S000004387"
      id="caf88389-332a-41f9-a5a2-36894363da81">&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;The Fund purchases stocks included in the S&amp;amp;P SmallCap 600 Index (the Index)&#x2014;an index that is made up of the stocks of small-capitalization U.S. companies. The Fund uses statistical methods to &#x201c;sample&#x201d; the Index, aiming to ensure capital gains and income tax efficiency while approximating other characteristics and the performance of the Index.&lt;/span&gt;</rr:StrategyNarrativeTextBlock>
    <rr:RiskHeading
      contextRef="InstitutionalMember_S000004387"
      id="cd0420df-3168-4a92-b06d-f769866cb3e8">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Principal Risks&lt;/span&gt;</rr:RiskHeading>
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      id="x_11273df5-6fed-4181-93a5-5687cc558ef8">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Stock market risk&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;, which is the chance that stock prices overall will decline. Stock markets tend to move in cycles, with periods of rising prices and periods of falling prices. The Fund&#x2019;s benchmark index tracks a subset of the U.S. stock market, which could cause the Fund to perform differently from the overall stock market. In addition, the Fund&#x2019;s benchmark index may, at times, become focused &lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;in stocks of a particular market sector, which would subject the Fund to proportionately higher exposure to the risks of that sector.&lt;/span&gt;</rr:RiskTextBlock>
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      id="x_8ae665a2-f4ab-47b4-a959-69a265725527">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;&#x2022;&#x2002;&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;Investment style risk&lt;/span&gt;&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;, which is the chance that returns from small-capitalization stocks will trail returns from the overall stock market. Historically, small-cap stocks have been more volatile in price than the large-cap stocks that dominate the overall market, and they often perform quite differently. The stock prices of small companies tend to experience greater volatility because, among other things, these companies tend to be more sensitive to changing economic conditions.&lt;/span&gt;</rr:RiskTextBlock>
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      id="x_93fa33a8-ccc2-4e7f-84c7-cf39d17961db">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;font-weight:bold;"&gt;An investment in the Fund is not a deposit of a bank and is not insured or guaranteed by the Federal Deposit Insurance Corporation or any other government agency.&lt;/span&gt;</rr:RiskTextBlock>
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      id="x_2204dfe7-f8ad-460e-bc17-315c35a4e174">&lt;span style="color:#000000;font-family:Arial;font-size:10pt;font-weight:bold;"&gt;Annual Total Returns&lt;/span&gt;</rr:BarChartAndPerformanceTableHeading>
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      id="x_34a25e39-64b0-42b7-80a7-83fced18b25a">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;The following bar chart and table are intended to help you understand the risks of investing in the Fund. The bar chart shows how the performance of the Fund&#x2019;s Institutional Shares has varied from one calendar year to another over the periods shown. The table shows how the average annual total returns of the Institutional Shares compare with those of the Fund&#x2019;s benchmark index and another comparative index, which have investment characteristics similar to &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;those of the Fund.&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt; Keep in mind that the Fund&#x2019;s past performance (before and &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;after taxes) does not indicate how the Fund will perform in the future.&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt; Updated &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;performance information is available on our website at &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;font-style:italic;"&gt;vanguard.com/performance&lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;.&lt;/span&gt;</rr:PerformanceNarrativeTextBlock>
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      id="x_3279441e-4e09-4e9c-bc58-e34ddd9787e6">&lt;span style="color:#000000;font-family:Arial;font-size:9.5pt;"&gt;The following bar chart and table are intended to help you understand the risks of investing in the Fund. The bar chart shows how the performance of the Fund&#x2019;s Institutional Shares has varied from one calendar year to another over the periods shown. The table shows how the average annual total returns of the Institutional Shares compare with those of the Fund&#x2019;s benchmark index and another comparative index, which have investment characteristics similar to &lt;/span&gt;&lt;span style="font-family:Arial;font-size:9.5pt;"&gt;those of the Fund.&lt;/span&gt;</rr:PerformanceInformationIllustratesVariabilityOfReturns>
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      id="x_649df325-4523-4ccf-bf9e-c355d548ace1">&lt;span style="font-family:Arial;font-size:8pt;font-weight:bold;"&gt;Annual Total Returns &#x2014; Vanguard Tax-Managed Small-Cap Fund Institutional Shares&lt;/span&gt;</rr:BarChartHeading>
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