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      id="t_3_d8b3b2c8_5b44_4ccc_ac70_bf1c184262c1">You can find additional information about the Fund at &lt;span style="white-space:nowrap"&gt;&lt;span style="text-decoration-line:underline;color:rgb(0, 0, 0);line-height:7.5pt;word-break:break-all;white-space:nowrap;font-weight:400;font-family:'times new roman';font-size:10pt"&gt;bny.com/investments/literaturecenter&lt;/span&gt;.&lt;/span&gt; You can also request this information by calling 1-800-373-9387 (inside the U.S. only) or by sending an e-mail request to info@bny.com.</oef:AddlInfoTextBlock>
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      id="t_7_50425274_5e6d_4376_acf6_b6c05caabc4d">&lt;div style="margin-top:0px;line-height:inherit;font-family:'times new roman';color:rgb(0, 0, 0);font-size:11pt;font-weight:bold;margin-bottom:2pt;"&gt; &lt;b&gt;What were the Fund&#x2019;s costs for the last &lt;/b&gt; &lt;b&gt;six months&lt;/b&gt; &lt;b&gt;?&lt;/b&gt; &lt;/div&gt;&lt;div style="font-weight:400;margin-top:0px;font-family:'times new roman';color:rgb(0, 0, 0);font-size:10pt;line-height:11pt;margin-bottom:3pt;"&gt;(based on a hypothetical $10,000 investment)&lt;/div&gt;&lt;table style="width:100%;border-collapse:collapse;page-break-inside:avoid;break-inside:avoid"&gt;
&lt;tr style="break-after:avoid;break-inside:avoid-page;page-break-inside:avoid;height:auto;background-color:rgb(0, 72, 94);border-bottom-color:initial;border-bottom-style:none;border-bottom-width:initial"&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; padding-top: 1pt; padding-right: 3pt; padding-bottom: 10pt; padding-left: 3pt; font-family: 'Times New Roman'; font-size: 9pt; line-height: 9pt; font-weight: bold; color: rgb(255, 255, 255); vertical-align: top; text-align: left; width: 25%;"&gt;Share Class&lt;/td&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; padding-top: 1pt; padding-right: 3pt; padding-bottom: 10pt; padding-left: 3pt; font-family: 'Times New Roman'; font-size: 9pt; line-height: 9pt; font-weight: bold; color: rgb(255, 255, 255); vertical-align: top; text-align: center; width: 30%;"&gt;Costs of a $10,000 investment&lt;/td&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; padding-top: 1pt; padding-right: 3pt; padding-bottom: 10pt; padding-left: 3pt; font-family: 'Times New Roman'; font-size: 9pt; line-height: 9pt; font-weight: bold; color: rgb(255, 255, 255); vertical-align: top; text-align: center; width: 40%;"&gt;Costs paid as a percentage of a $10,000 investment&lt;/td&gt; &lt;/tr&gt;
&lt;tr style="break-inside:avoid-page;page-break-inside:avoid;border-bottom-color:initial;border-bottom-style:none;border-bottom-width:initial;background-color:rgb(227, 235, 237);height:19pt"&gt;
&lt;td style="font-weight: 400; break-inside: avoid-page; page-break-inside: avoid; padding-top: 1pt; padding-right: 3pt; padding-bottom: 3pt; padding-left: 6pt; font-family: 'Times New Roman'; color: rgb(0, 0, 0); font-size: 9pt; line-height: 9pt; vertical-align: top; text-align: left; text-indent: -6pt;"&gt;Investor &lt;span style="white-space:nowrap"&gt;Shares&lt;sup style="vertical-align:super;font-size:5pt"&gt;*&lt;/sup&gt;&lt;/span&gt;&lt;/td&gt;
&lt;td style="font-weight: 400; break-inside: avoid-page; page-break-inside: avoid; padding-top: 1pt; padding-right: 3pt; padding-bottom: 3pt; padding-left: 3pt; font-family: 'Times New Roman'; color: rgb(0, 0, 0); font-size: 9pt; line-height: 9pt; text-align: center; vertical-align: top;"&gt;&lt;span style="float:none"&gt;$&lt;/span&gt;31&lt;/td&gt;
&lt;td style="font-weight: 400; break-inside: avoid-page; page-break-inside: avoid; padding-top: 1pt; padding-right: 3pt; padding-bottom: 3pt; padding-left: 3pt; white-space: nowrap; font-family: 'Times New Roman'; color: rgb(0, 0, 0); font-size: 9pt; line-height: 9pt; text-align: center; vertical-align: top;"&gt;0.60&lt;span&gt;%&lt;/span&gt;&lt;sup style="vertical-align:super;font-size:5pt"&gt;**&lt;/sup&gt;&lt;/td&gt; &lt;/tr&gt; &lt;/table&gt;&lt;table style="width:100%;border-collapse:collapse;page-break-inside:avoid;break-inside:avoid;margin-bottom:10pt"&gt;
&lt;tr style="break-inside:avoid-page;page-break-inside:avoid;height:auto;border-bottom-color:initial;border-bottom-style:none;border-bottom-width:initial"&gt;
&lt;td style="font-weight: 400; break-inside: avoid-page; page-break-inside: avoid; margin-bottom: 0; font-style: normal; font-family: 'Times New Roman'; color: rgb(0, 0, 0); font-size: 5pt; line-height: normal; padding-top: 0; padding-right: 0; padding-bottom: 0; padding-left: 0; width: 10pt; text-align: left; vertical-align: super;"&gt;*&lt;/td&gt;
&lt;td style="font-weight: 400; break-inside: avoid-page; page-break-inside: avoid; margin-bottom: 0; font-family: 'Times New Roman'; font-size: 9pt; line-height: normal; font-style: normal; text-align: left; vertical-align: top; color: rgb(0, 0, 0); padding-top: 0; padding-right: 0; padding-bottom: 0; padding-left: 0;"&gt;
&lt;div style="font-weight:400;margin-top:0px;font-family:'times new roman';font-size:9pt;line-height:normal;font-style:normal;text-align:left;vertical-align:top;color:rgb(0, 0, 0);padding-top:0px;padding-right:0px;padding-bottom:0px;padding-left:0px;margin-bottom:0px;"&gt;During the period, fees were waived and/or expenses reimbursed pursuant to an agreement with the Fund&#x2019;s investment adviser, BNY Mellon Investment Adviser, Inc.&lt;/div&gt;&lt;/td&gt; &lt;/tr&gt;
&lt;tr style="break-inside:avoid-page;page-break-inside:avoid;height:auto;border-bottom-color:initial;border-bottom-style:none;border-bottom-width:initial"&gt;
&lt;td style="font-weight: 400; break-inside: avoid-page; page-break-inside: avoid; margin-bottom: 0; font-style: normal; font-family: 'Times New Roman'; color: rgb(0, 0, 0); font-size: 5pt; line-height: normal; padding-top: 0; padding-right: 0; padding-bottom: 0; padding-left: 0; width: 10pt; text-align: left; vertical-align: super;"&gt;**&lt;/td&gt;
&lt;td style="font-weight: 400; break-inside: avoid-page; page-break-inside: avoid; margin-bottom: 0; font-family: 'Times New Roman'; font-size: 9pt; line-height: normal; font-style: normal; text-align: left; vertical-align: top; color: rgb(0, 0, 0); padding-top: 0; padding-right: 0; padding-bottom: 0; padding-left: 0;"&gt;
&lt;div style="font-weight:400;margin-top:0px;font-family:'times new roman';font-size:9pt;line-height:normal;font-style:normal;text-align:left;vertical-align:top;color:rgb(0, 0, 0);padding-top:0px;padding-right:0px;padding-bottom:0px;padding-left:0px;margin-bottom:0px;"&gt;Annualized.&lt;/div&gt;&lt;/td&gt; &lt;/tr&gt; &lt;/table&gt;</oef:ExpensesTextBlock>
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&lt;tr style="break-after:avoid;break-inside:avoid-page;page-break-inside:avoid;height:auto;background-color:rgb(0, 72, 94);border-bottom-color:initial;border-bottom-style:none;border-bottom-width:initial"&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; font-family: 'Times New Roman'; font-size: 9pt; line-height: 9pt; font-weight: bold; color: rgb(255, 255, 255); padding-top: 1pt; padding-bottom: 10pt; padding-right: 3pt; padding-left: 3pt; width: 170pt; vertical-align: top; text-align: center;"&gt;&lt;br/&gt; Fund Size (Millions)&lt;/td&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; font-family: 'Times New Roman'; font-size: 9pt; line-height: 9pt; font-weight: bold; color: rgb(255, 255, 255); padding-top: 1pt; padding-bottom: 10pt; padding-right: 3pt; padding-left: 3pt; width: 170pt; vertical-align: top; text-align: center;"&gt;&lt;br/&gt; Number of Holdings&lt;/td&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; font-family: 'Times New Roman'; font-size: 9pt; line-height: 9pt; font-weight: bold; color: rgb(255, 255, 255); padding-top: 1pt; padding-bottom: 10pt; padding-right: 3pt; padding-left: 3pt; width: 170pt; vertical-align: top; text-align: center;"&gt;&lt;br/&gt; Portfolio Turnover&lt;/td&gt; &lt;/tr&gt;
&lt;tr style="break-inside:avoid-page;page-break-inside:avoid;border-bottom-color:initial;border-bottom-style:none;border-bottom-width:initial;background-color:rgb(227, 235, 237);height:19pt"&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; padding-right: 3pt; padding-left: 3pt; padding-top: 1pt; width: 170pt; font-family: 'Times New Roman'; font-weight: normal; font-size: 9pt; line-height: 9pt; vertical-align: top; text-align: center; color: rgb(0, 0, 0); padding-bottom: 1pt; border-left-color: initial; border-left-style: none; border-left-width: initial;"&gt;&lt;span style="float:none"&gt;$&lt;/span&gt;327&lt;/td&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; padding-right: 3pt; padding-left: 3pt; padding-top: 1pt; width: 170pt; font-family: 'Times New Roman'; font-weight: normal; font-size: 9pt; line-height: 9pt; vertical-align: top; text-align: center; color: rgb(0, 0, 0); padding-bottom: 1pt; border-left-color: initial; border-left-style: none; border-left-width: initial;"&gt;693&lt;/td&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; padding-right: 3pt; padding-left: 3pt; padding-top: 1pt; white-space: nowrap; width: 170pt; font-family: 'Times New Roman'; font-weight: normal; font-size: 9pt; line-height: 9pt; vertical-align: top; text-align: center; color: rgb(0, 0, 0); padding-bottom: 1pt; border-left-color: initial; border-left-style: none; border-left-width: initial;"&gt;1.35&lt;span&gt;%&lt;/span&gt;&lt;/td&gt; &lt;/tr&gt; &lt;/table&gt;</oef:AddlFundStatisticsTextBlock>
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      contextRef="TI20260430_C000000294Member"
      decimals="INF"
      id="h_3_4f60a16a_1847_4406_9072_8640e269d7ed"
      unitRef="USD">327000000</us-gaap:AssetsNet>
    <oef:HoldingsCount
      contextRef="TI20260430_C000000294Member"
      decimals="INF"
      id="h_4_c39a54bd_24ff_434b_b3ec_56708888bc0f"
      unitRef="Holding">693</oef:HoldingsCount>
    <us-gaap:InvestmentCompanyPortfolioTurnover
      contextRef="D20251031_20260430_C000000294Member"
      decimals="4"
      id="h_5_deb9b7b3_a6d0_4f45_9f81_be468f32c484"
      unitRef="pure">0.0135</us-gaap:InvestmentCompanyPortfolioTurnover>
    <oef:HoldingsTableTextBlock
      contextRef="D20251031_20260430_C000000294Member"
      id="t_9_491b3a05_8bed_4970_80cd_0f8f5f33e3f8">&lt;div style="margin-top:0px;line-height:inherit;text-transform:uppercase;margin-bottom:3pt;font-family:'times new roman';color:rgb(0, 0, 0);font-size:9pt;font-weight:bold;letter-spacing:0px;"&gt; &lt;b&gt;Portfolio Holdings (as of &lt;/b&gt; &lt;b&gt;4/30/26&lt;/b&gt; &lt;b&gt;)&lt;/b&gt; &lt;/div&gt;&lt;div style="margin-top:0px;line-height:inherit;font-family:'times new roman';color:rgb(0, 0, 0);font-size:9pt;font-weight:bold;letter-spacing:0px;text-transform:none;margin-bottom:0px;page-break-after:avoid;"&gt; &lt;b&gt;Top Ten Holdings (Based on Net Assets)&lt;/b&gt; &lt;b&gt; &lt;sup style="vertical-align:super;font-size:smaller"&gt;*&lt;/sup&gt; &lt;/b&gt; &lt;/div&gt;&lt;div style="font-family:'times new roman';font-size:9pt;font-weight:400;color:rgb(0, 0, 0);width:540pt;margin-left:18pt;margin-bottom:8pt;"&gt; &lt;img alt="Graphical Representation - Top N Holdings Chart" src="chartimages_11847949.jpg" style="margin-left: 50pt; width: 482pt;"/&gt;  &lt;/div&gt;&lt;div style="font-weight:400;font-family:'times new roman';font-size:9pt;line-height:10pt;color:rgb(0, 0, 0);margin-top:-4pt;margin-bottom:0px;"&gt;* Excludes money market funds or other short-term securities held for the investment of cash and cash collateral for securities loaned, if any.&lt;/div&gt;&lt;div style="margin-top:0px;line-height:inherit;font-family:'times new roman';color:rgb(0, 0, 0);font-size:9pt;font-weight:bold;letter-spacing:0px;text-transform:none;margin-bottom:0px;page-break-after:avoid;"&gt; &lt;b&gt;Country Allocation (Based on Net Assets)&lt;/b&gt; &lt;/div&gt;&lt;div style="font-family:'times new roman';font-size:9pt;font-weight:400;color:rgb(0, 0, 0);width:540pt;margin-bottom:6pt;margin-left:18pt;"&gt; &lt;img alt="Graphical Representation - Allocation 1 Chart" src="chartimages_11847925.jpg" style="margin-left: 29pt; width: 437pt;"/&gt;  &lt;/div&gt;</oef:HoldingsTableTextBlock>
    <oef:LargestHoldingsTableTextBlock
      contextRef="D20251031_20260430_C000000294Member"
      id="t_13_6d3a9402_595b_1b13_6922_47ca0727d4f2">&lt;div style="margin-top:0px;line-height:inherit;font-family:'times new roman';color:rgb(0, 0, 0);font-size:9pt;font-weight:bold;letter-spacing:0px;text-transform:none;margin-bottom:0px;page-break-after:avoid;"&gt; &lt;b&gt;Top Ten Holdings (Based on Net Assets)&lt;/b&gt; &lt;b&gt; &lt;sup style="vertical-align:super;font-size:smaller"&gt;*&lt;/sup&gt; &lt;/b&gt; &lt;/div&gt;&lt;div style="font-family:'times new roman';font-size:9pt;font-weight:400;color:rgb(0, 0, 0);width:540pt;margin-left:18pt;margin-bottom:8pt;"&gt; &lt;img alt="Graphical Representation - Top N Holdings Chart" src="chartimages_11847949.jpg" style="margin-left: 50pt; width: 482pt;"/&gt;  &lt;/div&gt;&lt;div style="font-weight:400;font-family:'times new roman';font-size:9pt;line-height:10pt;color:rgb(0, 0, 0);margin-top:-4pt;margin-bottom:0px;"&gt;* Excludes money market funds or other short-term securities held for the investment of cash and cash collateral for securities loaned, if any.&lt;/div&gt;</oef:LargestHoldingsTableTextBlock>
    <oef:FundName
      contextRef="D20251031_20260430_C000172467Member"
      id="t_19_55f12df7_a986_32d8_06ea_7ab75e1915b0">BNY Mellon International Stock Index Fund</oef:FundName>
    <oef:ClassName
      contextRef="D20251031_20260430_C000172467Member"
      id="t_20_c079e4a7_9384_15df_da8a_002747e15567">Class I</oef:ClassName>
    <dei:TradingSymbol
      contextRef="D20251031_20260430_C000172467Member"
      id="t_21_c7baf97f_891e_9efc_43cd_a923c5814422">DINIX</dei:TradingSymbol>
    <oef:AnnlOrSemiAnnlStatementTextBlock
      contextRef="D20251031_20260430_C000172467Member"
      id="t_10_c663d9dc_a184_441b_af93_30d85671dd5d">This semi-annual shareholder report contains important information about BNY Mellon International Stock Index Fund (the &#x201c;Fund&#x201d;) for the period of November 1, 2025 to April 30, 2026.</oef:AnnlOrSemiAnnlStatementTextBlock>
    <oef:ShareholderReportAnnualOrSemiAnnual
      contextRef="D20251031_20260430_C000172467Member"
      id="t_11_9400a193_e2b8_42f6_9cef_0b8774e87ec1">semi-annual shareholder report</oef:ShareholderReportAnnualOrSemiAnnual>
    <oef:AddlInfoTextBlock
      contextRef="D20251031_20260430_C000172467Member"
      id="t_12_56e5d2ef_8080_42a5_8de4_ea0a52ab23ba">You can find additional information about the Fund at &lt;span style="white-space:nowrap"&gt;&lt;span style="text-decoration-line:underline;color:rgb(0, 0, 0);line-height:7.5pt;word-break:break-all;white-space:nowrap;font-weight:400;font-family:'times new roman';font-size:10pt"&gt;bny.com/investments/literaturecenter&lt;/span&gt;.&lt;/span&gt; You can also request this information by calling 1-800-373-9387 (inside the U.S. only) or by sending an e-mail request to info@bny.com.</oef:AddlInfoTextBlock>
    <oef:AddlInfoWebsite
      contextRef="D20251031_20260430_C000172467Member"
      id="t_14_452be25a_9502_4669_911f_0678bf87fbeb">bny.com/investments/literaturecenter</oef:AddlInfoWebsite>
    <oef:AddlInfoPhoneNumber
      contextRef="D20251031_20260430_C000172467Member"
      id="t_15_5f297425_9267_49b1_90df_dac3d7d8de42">1-800-373-9387</oef:AddlInfoPhoneNumber>
    <oef:AddlInfoEmail
      contextRef="D20251031_20260430_C000172467Member"
      id="t_13_1ade37f2_73fc_4791_a815_5494025d2fe0">info@bny.com</oef:AddlInfoEmail>
    <oef:ExpensesTextBlock
      contextRef="D20251031_20260430_C000172467Member"
      id="t_16_9c3f4130_7e4d_4fb7_a45e_0cdba074f022">&lt;div style="margin-top:0px;line-height:inherit;font-family:'times new roman';color:rgb(0, 0, 0);font-size:11pt;font-weight:bold;margin-bottom:2pt;"&gt; &lt;b&gt;What were the Fund&#x2019;s costs for the last &lt;/b&gt; &lt;b&gt;six months&lt;/b&gt; &lt;b&gt;?&lt;/b&gt; &lt;/div&gt;&lt;div style="font-weight:400;margin-top:0px;font-family:'times new roman';color:rgb(0, 0, 0);font-size:10pt;line-height:11pt;margin-bottom:3pt;"&gt;(based on a hypothetical $10,000 investment)&lt;/div&gt;&lt;table style="width:100%;border-collapse:collapse;page-break-inside:avoid;break-inside:avoid"&gt;
&lt;tr style="break-after:avoid;break-inside:avoid-page;page-break-inside:avoid;height:auto;background-color:rgb(0, 72, 94);border-bottom-color:initial;border-bottom-style:none;border-bottom-width:initial"&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; padding-top: 1pt; padding-right: 3pt; padding-bottom: 10pt; padding-left: 3pt; font-family: 'Times New Roman'; font-size: 9pt; line-height: 9pt; font-weight: bold; color: rgb(255, 255, 255); vertical-align: top; text-align: left; width: 25%;"&gt;Share Class&lt;/td&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; padding-top: 1pt; padding-right: 3pt; padding-bottom: 10pt; padding-left: 3pt; font-family: 'Times New Roman'; font-size: 9pt; line-height: 9pt; font-weight: bold; color: rgb(255, 255, 255); vertical-align: top; text-align: center; width: 30%;"&gt;Costs of a $10,000 investment&lt;/td&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; padding-top: 1pt; padding-right: 3pt; padding-bottom: 10pt; padding-left: 3pt; font-family: 'Times New Roman'; font-size: 9pt; line-height: 9pt; font-weight: bold; color: rgb(255, 255, 255); vertical-align: top; text-align: center; width: 40%;"&gt;Costs paid as a percentage of a $10,000 investment&lt;/td&gt; &lt;/tr&gt;
&lt;tr style="break-inside:avoid-page;page-break-inside:avoid;border-bottom-color:initial;border-bottom-style:none;border-bottom-width:initial;background-color:rgb(227, 235, 237);height:19pt"&gt;
&lt;td style="font-weight: 400; break-inside: avoid-page; page-break-inside: avoid; padding-top: 1pt; padding-right: 3pt; padding-bottom: 3pt; padding-left: 6pt; font-family: 'Times New Roman'; color: rgb(0, 0, 0); font-size: 9pt; line-height: 9pt; vertical-align: top; text-align: left; text-indent: -6pt;"&gt;Class &lt;span style="white-space:nowrap"&gt;I&lt;sup style="vertical-align:super;font-size:5pt"&gt;*&lt;/sup&gt;&lt;/span&gt;&lt;/td&gt;
&lt;td style="font-weight: 400; break-inside: avoid-page; page-break-inside: avoid; padding-top: 1pt; padding-right: 3pt; padding-bottom: 3pt; padding-left: 3pt; font-family: 'Times New Roman'; color: rgb(0, 0, 0); font-size: 9pt; line-height: 9pt; text-align: center; vertical-align: top;"&gt;&lt;span style="float:none"&gt;$&lt;/span&gt;18&lt;/td&gt;
&lt;td style="font-weight: 400; break-inside: avoid-page; page-break-inside: avoid; padding-top: 1pt; padding-right: 3pt; padding-bottom: 3pt; padding-left: 3pt; white-space: nowrap; font-family: 'Times New Roman'; color: rgb(0, 0, 0); font-size: 9pt; line-height: 9pt; text-align: center; vertical-align: top;"&gt;0.35&lt;span&gt;%&lt;/span&gt;&lt;sup style="vertical-align:super;font-size:5pt"&gt;**&lt;/sup&gt;&lt;/td&gt; &lt;/tr&gt; &lt;/table&gt;&lt;table style="width:100%;border-collapse:collapse;page-break-inside:avoid;break-inside:avoid;margin-bottom:10pt"&gt;
&lt;tr style="break-inside:avoid-page;page-break-inside:avoid;height:auto;border-bottom-color:initial;border-bottom-style:none;border-bottom-width:initial"&gt;
&lt;td style="font-weight: 400; break-inside: avoid-page; page-break-inside: avoid; margin-bottom: 0; font-style: normal; font-family: 'Times New Roman'; color: rgb(0, 0, 0); font-size: 5pt; line-height: normal; padding-top: 0; padding-right: 0; padding-bottom: 0; padding-left: 0; width: 10pt; text-align: left; vertical-align: super;"&gt;*&lt;/td&gt;
&lt;td style="font-weight: 400; break-inside: avoid-page; page-break-inside: avoid; margin-bottom: 0; font-family: 'Times New Roman'; font-size: 9pt; line-height: normal; font-style: normal; text-align: left; vertical-align: top; color: rgb(0, 0, 0); padding-top: 0; padding-right: 0; padding-bottom: 0; padding-left: 0;"&gt;
&lt;div style="font-weight:400;margin-top:0px;font-family:'times new roman';font-size:9pt;line-height:normal;font-style:normal;text-align:left;vertical-align:top;color:rgb(0, 0, 0);padding-top:0px;padding-right:0px;padding-bottom:0px;padding-left:0px;margin-bottom:0px;"&gt;During the period, fees were waived and/or expenses reimbursed pursuant to an agreement with the Fund&#x2019;s investment adviser, BNY Mellon Investment Adviser, Inc.&lt;/div&gt;&lt;/td&gt; &lt;/tr&gt;
&lt;tr style="break-inside:avoid-page;page-break-inside:avoid;height:auto;border-bottom-color:initial;border-bottom-style:none;border-bottom-width:initial"&gt;
&lt;td style="font-weight: 400; break-inside: avoid-page; page-break-inside: avoid; margin-bottom: 0; font-style: normal; font-family: 'Times New Roman'; color: rgb(0, 0, 0); font-size: 5pt; line-height: normal; padding-top: 0; padding-right: 0; padding-bottom: 0; padding-left: 0; width: 10pt; text-align: left; vertical-align: super;"&gt;**&lt;/td&gt;
&lt;td style="font-weight: 400; break-inside: avoid-page; page-break-inside: avoid; margin-bottom: 0; font-family: 'Times New Roman'; font-size: 9pt; line-height: normal; font-style: normal; text-align: left; vertical-align: top; color: rgb(0, 0, 0); padding-top: 0; padding-right: 0; padding-bottom: 0; padding-left: 0;"&gt;
&lt;div style="font-weight:400;margin-top:0px;font-family:'times new roman';font-size:9pt;line-height:normal;font-style:normal;text-align:left;vertical-align:top;color:rgb(0, 0, 0);padding-top:0px;padding-right:0px;padding-bottom:0px;padding-left:0px;margin-bottom:0px;"&gt;Annualized.&lt;/div&gt;&lt;/td&gt; &lt;/tr&gt; &lt;/table&gt;</oef:ExpensesTextBlock>
    <oef:ExpensesPaidAmt
      contextRef="D20251031_20260430_C000172467Member"
      decimals="INF"
      id="h_6_2323de7b_f96e_445e_a152_e8ea4365ec6a"
      unitRef="USD">18</oef:ExpensesPaidAmt>
    <oef:ExpenseRatioPct
      contextRef="D20251031_20260430_C000172467Member"
      decimals="4"
      id="h_7_ff22fb9f_23f2_490a_be71_29620711f38a"
      unitRef="pure">0.0035</oef:ExpenseRatioPct>
    <oef:AddlFundStatisticsTextBlock
      contextRef="D20251031_20260430_C000172467Member"
      id="t_17_314587c1_d089_46a1_a82c_77ffc5d64878">&lt;div style="line-height:inherit;font-family:'times new roman';color:rgb(0, 0, 0);font-size:11pt;font-weight:bold;margin-top:0px;margin-bottom:0px;"&gt; &lt;b&gt;KEY FUND STATISTICS (AS OF &lt;/b&gt; &lt;b&gt;4/30/26&lt;/b&gt; &lt;b&gt;)&lt;/b&gt; &lt;/div&gt;&lt;table style="width:100%;border-collapse:collapse;page-break-inside:avoid;break-inside:avoid"&gt;
&lt;tr style="break-after:avoid;break-inside:avoid-page;page-break-inside:avoid;height:auto;background-color:rgb(0, 72, 94);border-bottom-color:initial;border-bottom-style:none;border-bottom-width:initial"&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; font-family: 'Times New Roman'; font-size: 9pt; line-height: 9pt; font-weight: bold; color: rgb(255, 255, 255); padding-top: 1pt; padding-bottom: 10pt; padding-right: 3pt; padding-left: 3pt; width: 170pt; vertical-align: top; text-align: center;"&gt;&lt;br/&gt; Fund Size (Millions)&lt;/td&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; font-family: 'Times New Roman'; font-size: 9pt; line-height: 9pt; font-weight: bold; color: rgb(255, 255, 255); padding-top: 1pt; padding-bottom: 10pt; padding-right: 3pt; padding-left: 3pt; width: 170pt; vertical-align: top; text-align: center;"&gt;&lt;br/&gt; Number of Holdings&lt;/td&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; font-family: 'Times New Roman'; font-size: 9pt; line-height: 9pt; font-weight: bold; color: rgb(255, 255, 255); padding-top: 1pt; padding-bottom: 10pt; padding-right: 3pt; padding-left: 3pt; width: 170pt; vertical-align: top; text-align: center;"&gt;&lt;br/&gt; Portfolio Turnover&lt;/td&gt; &lt;/tr&gt;
&lt;tr style="break-inside:avoid-page;page-break-inside:avoid;border-bottom-color:initial;border-bottom-style:none;border-bottom-width:initial;background-color:rgb(227, 235, 237);height:19pt"&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; padding-right: 3pt; padding-left: 3pt; padding-top: 1pt; width: 170pt; font-family: 'Times New Roman'; font-weight: normal; font-size: 9pt; line-height: 9pt; vertical-align: top; text-align: center; color: rgb(0, 0, 0); padding-bottom: 1pt; border-left-color: initial; border-left-style: none; border-left-width: initial;"&gt;&lt;span style="float:none"&gt;$&lt;/span&gt;327&lt;/td&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; padding-right: 3pt; padding-left: 3pt; padding-top: 1pt; width: 170pt; font-family: 'Times New Roman'; font-weight: normal; font-size: 9pt; line-height: 9pt; vertical-align: top; text-align: center; color: rgb(0, 0, 0); padding-bottom: 1pt; border-left-color: initial; border-left-style: none; border-left-width: initial;"&gt;693&lt;/td&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; padding-right: 3pt; padding-left: 3pt; padding-top: 1pt; white-space: nowrap; width: 170pt; font-family: 'Times New Roman'; font-weight: normal; font-size: 9pt; line-height: 9pt; vertical-align: top; text-align: center; color: rgb(0, 0, 0); padding-bottom: 1pt; border-left-color: initial; border-left-style: none; border-left-width: initial;"&gt;1.35&lt;span&gt;%&lt;/span&gt;&lt;/td&gt; &lt;/tr&gt; &lt;/table&gt;</oef:AddlFundStatisticsTextBlock>
    <us-gaap:AssetsNet
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      id="h_8_94a02762_e374_40fc_833c_0128e1031c07"
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    <oef:HoldingsCount
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      decimals="INF"
      id="h_9_28d61116_dbcc_4edd_a695_c30b635df4b8"
      unitRef="Holding">693</oef:HoldingsCount>
    <us-gaap:InvestmentCompanyPortfolioTurnover
      contextRef="D20251031_20260430_C000172467Member"
      decimals="4"
      id="h_10_1a16ef41_1b54_4fcb_9703_af0762bb9171"
      unitRef="pure">0.0135</us-gaap:InvestmentCompanyPortfolioTurnover>
    <oef:HoldingsTableTextBlock
      contextRef="D20251031_20260430_C000172467Member"
      id="t_18_4e4ff99f_3299_4b48_a267_754925d02dcf">&lt;div style="margin-top:0px;line-height:inherit;text-transform:uppercase;margin-bottom:3pt;font-family:'times new roman';color:rgb(0, 0, 0);font-size:9pt;font-weight:bold;letter-spacing:0px;"&gt; &lt;b&gt;Portfolio Holdings (as of &lt;/b&gt; &lt;b&gt;4/30/26&lt;/b&gt; &lt;b&gt;)&lt;/b&gt; &lt;/div&gt;&lt;div style="margin-top:0px;line-height:inherit;font-family:'times new roman';color:rgb(0, 0, 0);font-size:9pt;font-weight:bold;letter-spacing:0px;text-transform:none;margin-bottom:0px;page-break-after:avoid;"&gt; &lt;b&gt;Top Ten Holdings (Based on Net Assets)&lt;/b&gt; &lt;b&gt; &lt;sup style="vertical-align:super;font-size:smaller"&gt;*&lt;/sup&gt; &lt;/b&gt; &lt;/div&gt;&lt;div style="font-family:'times new roman';font-size:9pt;font-weight:400;color:rgb(0, 0, 0);width:540pt;margin-left:18pt;margin-bottom:8pt;"&gt; &lt;img alt="Graphical Representation - Top N Holdings Chart" src="chartimages_11847898.jpg" style="margin-left: 50pt; width: 482pt;"/&gt;  &lt;/div&gt;&lt;div style="font-weight:400;font-family:'times new roman';font-size:9pt;line-height:10pt;color:rgb(0, 0, 0);margin-top:-4pt;margin-bottom:0px;"&gt;* Excludes money market funds or other short-term securities held for the investment of cash and cash collateral for securities loaned, if any.&lt;/div&gt;&lt;div style="margin-top:0px;line-height:inherit;font-family:'times new roman';color:rgb(0, 0, 0);font-size:9pt;font-weight:bold;letter-spacing:0px;text-transform:none;margin-bottom:0px;page-break-after:avoid;"&gt; &lt;b&gt;Country Allocation (Based on Net Assets)&lt;/b&gt; &lt;/div&gt;&lt;div style="font-family:'times new roman';font-size:9pt;font-weight:400;color:rgb(0, 0, 0);width:540pt;margin-bottom:6pt;margin-left:18pt;"&gt; &lt;img alt="Graphical Representation - Allocation 1 Chart" src="chartimages_11847874.jpg" style="margin-left: 29pt; width: 437pt;"/&gt;  &lt;/div&gt;</oef:HoldingsTableTextBlock>
    <oef:LargestHoldingsTableTextBlock
      contextRef="D20251031_20260430_C000172467Member"
      id="t_22_90d38e1d_ffbd_08dc_0e01_ecab73a7240f">&lt;div style="margin-top:0px;line-height:inherit;font-family:'times new roman';color:rgb(0, 0, 0);font-size:9pt;font-weight:bold;letter-spacing:0px;text-transform:none;margin-bottom:0px;page-break-after:avoid;"&gt; &lt;b&gt;Top Ten Holdings (Based on Net Assets)&lt;/b&gt; &lt;b&gt; &lt;sup style="vertical-align:super;font-size:smaller"&gt;*&lt;/sup&gt; &lt;/b&gt; &lt;/div&gt;&lt;div style="font-family:'times new roman';font-size:9pt;font-weight:400;color:rgb(0, 0, 0);width:540pt;margin-left:18pt;margin-bottom:8pt;"&gt; &lt;img alt="Graphical Representation - Top N Holdings Chart" src="chartimages_11847898.jpg" style="margin-left: 50pt; width: 482pt;"/&gt;  &lt;/div&gt;&lt;div style="font-weight:400;font-family:'times new roman';font-size:9pt;line-height:10pt;color:rgb(0, 0, 0);margin-top:-4pt;margin-bottom:0px;"&gt;* Excludes money market funds or other short-term securities held for the investment of cash and cash collateral for securities loaned, if any.&lt;/div&gt;</oef:LargestHoldingsTableTextBlock>
    <oef:ClassName
      contextRef="D20251031_20260430_C000000295Member"
      id="t_52_7b9b29e5_4286_7cc9_347b_d6b5825c6509">BNY Mellon S&amp;P 500 Index Fund</oef:ClassName>
    <oef:FundName
      contextRef="D20251031_20260430_C000000295Member"
      id="t_53_556ae6bf_a8f4_a489_7706_2d380a069a2b">BNY Mellon S&amp;P 500 Index Fund</oef:FundName>
    <dei:TradingSymbol
      contextRef="D20251031_20260430_C000000295Member"
      id="t_54_c7db8228_eeb3_f358_514d_8bed95b3d6d3">PEOPX</dei:TradingSymbol>
    <oef:AnnlOrSemiAnnlStatementTextBlock
      contextRef="D20251031_20260430_C000000295Member"
      id="t_19_12bccfab_4ec5_492e_bec2_aa591a856d3f">This semi-annual shareholder report contains important information about BNY Mellon S&amp;amp;P 500 Index Fund (the &#x201c;Fund&#x201d;) for the period of November 1, 2025 to April 30, 2026.</oef:AnnlOrSemiAnnlStatementTextBlock>
    <oef:ShareholderReportAnnualOrSemiAnnual
      contextRef="D20251031_20260430_C000000295Member"
      id="t_20_09b63127_46f2_496c_aaad_4737831af1a2">semi-annual shareholder report</oef:ShareholderReportAnnualOrSemiAnnual>
    <oef:AddlInfoTextBlock
      contextRef="D20251031_20260430_C000000295Member"
      id="t_21_66aadc76_c5f9_4b6e_ba74_a8a624e035d6">You can find additional information about the Fund at &lt;span style="white-space:nowrap"&gt;&lt;span style="text-decoration-line:underline;color:rgb(0, 0, 0);line-height:7.5pt;word-break:break-all;white-space:nowrap;font-weight:400;font-family:'times new roman';font-size:10pt"&gt;bny.com/investments/literaturecenter&lt;/span&gt;.&lt;/span&gt; You can also request this information by calling 1-800-373-9387 (inside the U.S. only) or by sending an e-mail request to info@bny.com.</oef:AddlInfoTextBlock>
    <oef:AddlInfoWebsite
      contextRef="D20251031_20260430_C000000295Member"
      id="t_23_6f3b8f0b_5ea6_49bf_b1a2_ddeb8ce39db3">bny.com/investments/literaturecenter</oef:AddlInfoWebsite>
    <oef:AddlInfoPhoneNumber
      contextRef="D20251031_20260430_C000000295Member"
      id="t_24_631de220_b0b8_4bf3_a547_dbcff850685d">1-800-373-9387</oef:AddlInfoPhoneNumber>
    <oef:AddlInfoEmail
      contextRef="D20251031_20260430_C000000295Member"
      id="t_22_67c74279_0566_48b8_8d4f_6bb7367eb5e8">info@bny.com</oef:AddlInfoEmail>
    <oef:MaterialFundChngNoticeTextBlock
      contextRef="D20251031_20260430_C000000295Member"
      id="t_25_354ff061_6156_4b65_af88_5b06d0211b15">&lt;div style="font-weight:400;margin-top:0px;font-family:'times new roman';color:rgb(0, 0, 0);font-size:10pt;line-height:11pt;margin-bottom:8pt;"&gt; &lt;b&gt;This report describes changes to the Fund that occurred during the reporting period.&lt;/b&gt; &lt;/div&gt;</oef:MaterialFundChngNoticeTextBlock>
    <oef:ExpensesTextBlock
      contextRef="D20251031_20260430_C000000295Member"
      id="t_26_396328a1_8853_4fcd_9c4e_ffd69cc10c7e">&lt;div style="margin-top:0px;line-height:inherit;font-family:'times new roman';color:rgb(0, 0, 0);font-size:11pt;font-weight:bold;margin-bottom:2pt;"&gt; &lt;b&gt;What were the Fund&#x2019;s costs for the last &lt;/b&gt; &lt;b&gt;six months&lt;/b&gt; &lt;b&gt;?&lt;/b&gt; &lt;/div&gt;&lt;div style="font-weight:400;margin-top:0px;font-family:'times new roman';color:rgb(0, 0, 0);font-size:10pt;line-height:11pt;margin-bottom:3pt;"&gt;(based on a hypothetical $10,000 investment)&lt;/div&gt;&lt;table style="width:100%;border-collapse:collapse;page-break-inside:avoid;break-inside:avoid"&gt;
&lt;tr style="break-after:avoid;break-inside:avoid-page;page-break-inside:avoid;height:auto;background-color:rgb(0, 72, 94);border-bottom-color:initial;border-bottom-style:none;border-bottom-width:initial"&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; padding-top: 1pt; padding-right: 3pt; padding-bottom: 10pt; padding-left: 3pt; font-family: 'Times New Roman'; font-size: 9pt; line-height: 9pt; font-weight: bold; color: rgb(255, 255, 255); vertical-align: top; text-align: left; width: 25%;"&gt;Fund&lt;/td&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; padding-top: 1pt; padding-right: 3pt; padding-bottom: 10pt; padding-left: 3pt; font-family: 'Times New Roman'; font-size: 9pt; line-height: 9pt; font-weight: bold; color: rgb(255, 255, 255); vertical-align: top; text-align: center; width: 30%;"&gt;Costs of a $10,000 investment&lt;/td&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; padding-top: 1pt; padding-right: 3pt; padding-bottom: 10pt; padding-left: 3pt; font-family: 'Times New Roman'; font-size: 9pt; line-height: 9pt; font-weight: bold; color: rgb(255, 255, 255); vertical-align: top; text-align: center; width: 40%;"&gt;Costs paid as a percentage of a $10,000 investment&lt;/td&gt; &lt;/tr&gt;
&lt;tr style="break-inside:avoid-page;page-break-inside:avoid;border-bottom-color:initial;border-bottom-style:none;border-bottom-width:initial;background-color:rgb(227, 235, 237);height:19pt"&gt;
&lt;td style="font-weight: 400; break-inside: avoid-page; page-break-inside: avoid; padding-top: 1pt; padding-right: 3pt; padding-bottom: 3pt; padding-left: 6pt; font-family: 'Times New Roman'; color: rgb(0, 0, 0); font-size: 9pt; line-height: 9pt; vertical-align: top; text-align: left; text-indent: -6pt;"&gt;BNY Mellon S&amp;amp;P 500 Index &lt;span style="white-space:nowrap"&gt;Fund&lt;sup style="vertical-align:super;font-size:5pt"&gt;*&lt;/sup&gt;&lt;/span&gt;&lt;/td&gt;
&lt;td style="font-weight: 400; break-inside: avoid-page; page-break-inside: avoid; padding-top: 1pt; padding-right: 3pt; padding-bottom: 3pt; padding-left: 3pt; font-family: 'Times New Roman'; color: rgb(0, 0, 0); font-size: 9pt; line-height: 9pt; text-align: center; vertical-align: top;"&gt;&lt;span style="float:none"&gt;$&lt;/span&gt;26&lt;/td&gt;
&lt;td style="font-weight: 400; break-inside: avoid-page; page-break-inside: avoid; padding-top: 1pt; padding-right: 3pt; padding-bottom: 3pt; padding-left: 3pt; white-space: nowrap; font-family: 'Times New Roman'; color: rgb(0, 0, 0); font-size: 9pt; line-height: 9pt; text-align: center; vertical-align: top;"&gt;0.50&lt;span&gt;%&lt;/span&gt;&lt;sup style="vertical-align:super;font-size:5pt"&gt;**&lt;/sup&gt;&lt;/td&gt; &lt;/tr&gt; &lt;/table&gt;&lt;table style="width:100%;border-collapse:collapse;page-break-inside:avoid;break-inside:avoid;margin-bottom:10pt"&gt;
&lt;tr style="break-inside:avoid-page;page-break-inside:avoid;height:auto;border-bottom-color:initial;border-bottom-style:none;border-bottom-width:initial"&gt;
&lt;td style="font-weight: 400; break-inside: avoid-page; page-break-inside: avoid; margin-bottom: 0; font-style: normal; font-family: 'Times New Roman'; color: rgb(0, 0, 0); font-size: 5pt; line-height: normal; padding-top: 0; padding-right: 0; padding-bottom: 0; padding-left: 0; width: 10pt; text-align: left; vertical-align: super;"&gt;*&lt;/td&gt;
&lt;td style="font-weight: 400; break-inside: avoid-page; page-break-inside: avoid; margin-bottom: 0; font-family: 'Times New Roman'; font-size: 9pt; line-height: normal; font-style: normal; text-align: left; vertical-align: top; color: rgb(0, 0, 0); padding-top: 0; padding-right: 0; padding-bottom: 0; padding-left: 0;"&gt;
&lt;div style="font-weight:400;margin-top:0px;font-family:'times new roman';font-size:9pt;line-height:normal;font-style:normal;text-align:left;vertical-align:top;color:rgb(0, 0, 0);padding-top:0px;padding-right:0px;padding-bottom:0px;padding-left:0px;margin-bottom:0px;"&gt;During the period, fees were waived and/or expenses reimbursed pursuant to an agreement with the Fund&#x2019;s investment adviser, BNY Mellon Investment Adviser, Inc.&lt;/div&gt;&lt;/td&gt; &lt;/tr&gt;
&lt;tr style="break-inside:avoid-page;page-break-inside:avoid;height:auto;border-bottom-color:initial;border-bottom-style:none;border-bottom-width:initial"&gt;
&lt;td style="font-weight: 400; break-inside: avoid-page; page-break-inside: avoid; margin-bottom: 0; font-style: normal; font-family: 'Times New Roman'; color: rgb(0, 0, 0); font-size: 5pt; line-height: normal; padding-top: 0; padding-right: 0; padding-bottom: 0; padding-left: 0; width: 10pt; text-align: left; vertical-align: super;"&gt;**&lt;/td&gt;
&lt;td style="font-weight: 400; break-inside: avoid-page; page-break-inside: avoid; margin-bottom: 0; font-family: 'Times New Roman'; font-size: 9pt; line-height: normal; font-style: normal; text-align: left; vertical-align: top; color: rgb(0, 0, 0); padding-top: 0; padding-right: 0; padding-bottom: 0; padding-left: 0;"&gt;
&lt;div style="font-weight:400;margin-top:0px;font-family:'times new roman';font-size:9pt;line-height:normal;font-style:normal;text-align:left;vertical-align:top;color:rgb(0, 0, 0);padding-top:0px;padding-right:0px;padding-bottom:0px;padding-left:0px;margin-bottom:0px;"&gt;Annualized.&lt;/div&gt;&lt;/td&gt; &lt;/tr&gt; &lt;/table&gt;</oef:ExpensesTextBlock>
    <oef:ExpensesPaidAmt
      contextRef="D20251031_20260430_C000000295Member"
      decimals="INF"
      id="h_11_0444dc93_9667_434a_bcc1_e2768c39077d"
      unitRef="USD">26</oef:ExpensesPaidAmt>
    <oef:ExpenseRatioPct
      contextRef="D20251031_20260430_C000000295Member"
      decimals="4"
      id="h_12_52df0c1b_9def_4a3e_96b9_7640c3014f45"
      unitRef="pure">0.0050</oef:ExpenseRatioPct>
    <oef:AddlFundStatisticsTextBlock
      contextRef="D20251031_20260430_C000000295Member"
      id="t_27_dd652dcc_8472_483d_a9ce_aaaea82b11f8">&lt;div style="line-height:inherit;font-family:'times new roman';color:rgb(0, 0, 0);font-size:11pt;font-weight:bold;margin-top:0px;margin-bottom:0px;"&gt; &lt;b&gt;KEY FUND STATISTICS (AS OF &lt;/b&gt; &lt;b&gt;4/30/26&lt;/b&gt; &lt;b&gt;)&lt;/b&gt; &lt;/div&gt;&lt;table style="width:100%;border-collapse:collapse;page-break-inside:avoid;break-inside:avoid"&gt;
&lt;tr style="break-after:avoid;break-inside:avoid-page;page-break-inside:avoid;height:auto;background-color:rgb(0, 72, 94);border-bottom-color:initial;border-bottom-style:none;border-bottom-width:initial"&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; font-family: 'Times New Roman'; font-size: 9pt; line-height: 9pt; font-weight: bold; color: rgb(255, 255, 255); padding-top: 1pt; padding-bottom: 10pt; padding-right: 3pt; padding-left: 3pt; width: 170pt; vertical-align: top; text-align: center;"&gt;&lt;br/&gt; Fund Size (Millions)&lt;/td&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; font-family: 'Times New Roman'; font-size: 9pt; line-height: 9pt; font-weight: bold; color: rgb(255, 255, 255); padding-top: 1pt; padding-bottom: 10pt; padding-right: 3pt; padding-left: 3pt; width: 170pt; vertical-align: top; text-align: center;"&gt;&lt;br/&gt; Number of Holdings&lt;/td&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; font-family: 'Times New Roman'; font-size: 9pt; line-height: 9pt; font-weight: bold; color: rgb(255, 255, 255); padding-top: 1pt; padding-bottom: 10pt; padding-right: 3pt; padding-left: 3pt; width: 170pt; vertical-align: top; text-align: center;"&gt;&lt;br/&gt; Portfolio Turnover&lt;/td&gt; &lt;/tr&gt;
&lt;tr style="break-inside:avoid-page;page-break-inside:avoid;border-bottom-color:initial;border-bottom-style:none;border-bottom-width:initial;background-color:rgb(227, 235, 237);height:19pt"&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; padding-right: 3pt; padding-left: 3pt; padding-top: 1pt; width: 170pt; font-family: 'Times New Roman'; font-weight: normal; font-size: 9pt; line-height: 9pt; vertical-align: top; text-align: center; color: rgb(0, 0, 0); padding-bottom: 1pt; border-left-color: initial; border-left-style: none; border-left-width: initial;"&gt;&lt;span style="float:none"&gt;$&lt;/span&gt;2,696&lt;/td&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; padding-right: 3pt; padding-left: 3pt; padding-top: 1pt; width: 170pt; font-family: 'Times New Roman'; font-weight: normal; font-size: 9pt; line-height: 9pt; vertical-align: top; text-align: center; color: rgb(0, 0, 0); padding-bottom: 1pt; border-left-color: initial; border-left-style: none; border-left-width: initial;"&gt;506&lt;/td&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; padding-right: 3pt; padding-left: 3pt; padding-top: 1pt; white-space: nowrap; width: 170pt; font-family: 'Times New Roman'; font-weight: normal; font-size: 9pt; line-height: 9pt; vertical-align: top; text-align: center; color: rgb(0, 0, 0); padding-bottom: 1pt; border-left-color: initial; border-left-style: none; border-left-width: initial;"&gt;3.51&lt;span&gt;%&lt;/span&gt;&lt;/td&gt; &lt;/tr&gt; &lt;/table&gt;</oef:AddlFundStatisticsTextBlock>
    <us-gaap:AssetsNet
      contextRef="TI20260430_C000000295Member"
      decimals="INF"
      id="h_13_aaabd1ef_afe7_497e_b1fd_eb48b06fcc7c"
      unitRef="USD">2696000000</us-gaap:AssetsNet>
    <oef:HoldingsCount
      contextRef="TI20260430_C000000295Member"
      decimals="INF"
      id="h_14_438800fa_e540_4402_9919_a627eae41d55"
      unitRef="Holding">506</oef:HoldingsCount>
    <us-gaap:InvestmentCompanyPortfolioTurnover
      contextRef="D20251031_20260430_C000000295Member"
      decimals="4"
      id="h_15_7591ac06_4187_4d3f_9b86_573e59ca771c"
      unitRef="pure">0.0351</us-gaap:InvestmentCompanyPortfolioTurnover>
    <oef:HoldingsTableTextBlock
      contextRef="D20251031_20260430_C000000295Member"
      id="t_28_b6e6f9e1_9ad5_4a81_8584_337a224d7767">&lt;div style="margin-top:0px;line-height:inherit;text-transform:uppercase;margin-bottom:3pt;font-family:'times new roman';color:rgb(0, 0, 0);font-size:9pt;font-weight:bold;letter-spacing:0px;"&gt; &lt;b&gt;Portfolio Holdings (as of &lt;/b&gt; &lt;b&gt;4/30/26&lt;/b&gt; &lt;b&gt;)&lt;/b&gt; &lt;/div&gt;&lt;div style="margin-top:0px;line-height:inherit;font-family:'times new roman';color:rgb(0, 0, 0);font-size:9pt;font-weight:bold;letter-spacing:0px;text-transform:none;margin-bottom:0px;page-break-after:avoid;"&gt; &lt;b&gt;Top Ten Holdings (Based on Net Assets)&lt;/b&gt; &lt;b&gt; &lt;sup style="vertical-align:super;font-size:smaller"&gt;*&lt;/sup&gt; &lt;/b&gt; &lt;/div&gt;&lt;div style="font-family:'times new roman';font-size:9pt;font-weight:400;color:rgb(0, 0, 0);width:540pt;margin-left:18pt;margin-bottom:8pt;"&gt; &lt;img alt="Graphical Representation - Top N Holdings Chart" src="chartimages_11847847.jpg" style="margin-left: 50pt; width: 482pt;"/&gt;  &lt;/div&gt;&lt;div style="font-weight:400;font-family:'times new roman';font-size:9pt;line-height:10pt;color:rgb(0, 0, 0);margin-top:-4pt;margin-bottom:0px;"&gt;* Excludes money market funds or other short-term securities held for the investment of cash and cash collateral for securities loaned, if any.&lt;/div&gt;&lt;div style="margin-top:0px;line-height:inherit;font-family:'times new roman';color:rgb(0, 0, 0);font-size:9pt;font-weight:bold;letter-spacing:0px;text-transform:none;margin-bottom:0px;page-break-after:avoid;"&gt; &lt;b&gt;Sector Allocation (Based on Net Assets)&lt;/b&gt; &lt;/div&gt;&lt;div style="font-family:'times new roman';font-size:9pt;font-weight:400;color:rgb(0, 0, 0);width:540pt;margin-bottom:6pt;margin-left:18pt;"&gt; &lt;img alt="Graphical Representation - Allocation 1 Chart" src="chartimages_11847823.jpg" style="margin-left: 29pt; width: 437pt;"/&gt;  &lt;/div&gt;</oef:HoldingsTableTextBlock>
    <oef:LargestHoldingsTableTextBlock
      contextRef="D20251031_20260430_C000000295Member"
      id="t_55_449aa7d8_58af_539d_a174_b18009cf5365">&lt;div style="margin-top:0px;line-height:inherit;font-family:'times new roman';color:rgb(0, 0, 0);font-size:9pt;font-weight:bold;letter-spacing:0px;text-transform:none;margin-bottom:0px;page-break-after:avoid;"&gt; &lt;b&gt;Top Ten Holdings (Based on Net Assets)&lt;/b&gt; &lt;b&gt; &lt;sup style="vertical-align:super;font-size:smaller"&gt;*&lt;/sup&gt; &lt;/b&gt; &lt;/div&gt;&lt;div style="font-family:'times new roman';font-size:9pt;font-weight:400;color:rgb(0, 0, 0);width:540pt;margin-left:18pt;margin-bottom:8pt;"&gt; &lt;img alt="Graphical Representation - Top N Holdings Chart" src="chartimages_11847847.jpg" style="margin-left: 50pt; width: 482pt;"/&gt;  &lt;/div&gt;&lt;div style="font-weight:400;font-family:'times new roman';font-size:9pt;line-height:10pt;color:rgb(0, 0, 0);margin-top:-4pt;margin-bottom:0px;"&gt;* Excludes money market funds or other short-term securities held for the investment of cash and cash collateral for securities loaned, if any.&lt;/div&gt;</oef:LargestHoldingsTableTextBlock>
    <oef:MaterialFundChngTextBlock
      contextRef="D20251031_20260430_C000000295Member"
      id="t_56_6875ad81_4fb6_e42d_9968_5f567722b5c8">&lt;div style="font-family:'times new roman';font-size:9pt;font-weight:400;color:rgb(0, 0, 0);width:540pt;margin-left:18pt;margin-bottom:5pt;"&gt;
&lt;div style="font-family:'times new roman';font-size:9pt;font-weight:400;color:rgb(0, 0, 0);break-inside:avoid;"&gt;
&lt;div style="line-height:inherit;font-family:'times new roman';color:rgb(0, 0, 0);font-size:11pt;font-weight:bold;margin-bottom:4pt;margin-top:0px;"&gt; &lt;b&gt;How has the Fund changed?&lt;/b&gt; &lt;/div&gt; &lt;/div&gt;
&lt;ul style="padding-top: 0; padding-right: 0; padding-bottom: 0; padding-left: 0; margin-top: 0; margin-right: 0; margin-bottom: 0; margin-left: 0; counter-reset: numberedlisting 0 letteringlisting 0 letteredhead 0 lcrmnhead 0 ucletteredhead 0 ucrmnhead 0; break-inside: avoid;"&gt;
&lt;li style="font-weight: 400; padding-left: 3pt; margin-left: 7pt; list-style-type: disc; font-family: 'Times New Roman'; color: rgb(0, 0, 0); font-size: 10pt; line-height: 11pt; margin-bottom: 3pt;"&gt;
&lt;div style="font-weight:400;margin-top:0px;font-family:'times new roman';color:rgb(0, 0, 0);font-size:10pt;line-height:11pt;margin-bottom:5pt;"&gt;Effective November 14, 2025, the Fund may operate as a non-diversified fund, as defined under the Investment Company Act of 1940, as amended, to the approximate extent the S&amp;amp;P 500&lt;sup style="vertical-align:top;font-size:initial"&gt;&#xae;&lt;/sup&gt; Index is non-diversified, without shareholder approval. The Fund may therefore operate as non-diversified solely as a result of a change in relative market capitalization or index weighting of one or more constituents of the index.&lt;/div&gt; &lt;/li&gt; &lt;/ul&gt; &lt;/div&gt;&lt;div style="font-weight:400;margin-top:0px;font-family:'times new roman';color:rgb(0, 0, 0);font-size:10pt;line-height:11pt;margin-bottom:6pt;"&gt; &lt;b&gt;This is a summary of certain changes to the Fund since &lt;/b&gt; &lt;b&gt;November 1, 2025&lt;/b&gt; &lt;b&gt;. For more complete information, you may review the Fund&#x2019;s &lt;/b&gt; &lt;b&gt;current prospectus dated &lt;/b&gt; &lt;b&gt;February 27, 2026&lt;/b&gt; &lt;b&gt; at &lt;/b&gt; &lt;span style="white-space:nowrap"&gt; &lt;span style="text-decoration-line:underline;color:rgb(0, 0, 0);line-height:8.5pt;word-break:break-all;white-space:nowrap;font-weight:bold;font-family:'times new roman';font-size:10pt"&gt;bny.com/investments/literaturecenter&lt;/span&gt; &lt;/span&gt; &lt;b&gt;  or upon request at 1-800-373-9387.&lt;/b&gt; &lt;/div&gt;</oef:MaterialFundChngTextBlock>
    <oef:MaterialFundChngRisksChngTextBlock
      contextRef="D20251031_20260430_C000000295Member"
      id="t_60_ff78ca15_9207_faed_9858_cef97edf9192">Effective November 14, 2025, the Fund may operate as a non-diversified fund, as defined under the Investment Company Act of 1940, as amended, to the approximate extent the S&amp;amp;P 500&lt;sup style="vertical-align:top;font-size:initial"&gt;&#xae;&lt;/sup&gt; Index is non-diversified, without shareholder approval. The Fund may therefore operate as non-diversified solely as a result of a change in relative market capitalization or index weighting of one or more constituents of the index.</oef:MaterialFundChngRisksChngTextBlock>
    <oef:MaterialChngDate
      contextRef="D20251031_20260430_C000000295Member"
      id="t_61_c9eca3c5_2ba6_62a2_9713_7f95affba97c">2025-11-14</oef:MaterialChngDate>
    <oef:SummaryOfChngLegendTextBlock
      contextRef="D20251031_20260430_C000000295Member"
      id="t_57_863ff277_1a8c_de6e_20b5_93e969cec9d1">&lt;div style="font-weight:400;margin-top:0px;font-family:'times new roman';color:rgb(0, 0, 0);font-size:10pt;line-height:11pt;margin-bottom:6pt;"&gt; &lt;b&gt;This is a summary of certain changes to the Fund since &lt;/b&gt; &lt;b&gt;November 1, 2025&lt;/b&gt; &lt;b&gt;. For more complete information, you may review the Fund&#x2019;s &lt;/b&gt; &lt;b&gt;current prospectus dated &lt;/b&gt; &lt;b&gt;February 27, 2026&lt;/b&gt; &lt;b&gt; at &lt;/b&gt; &lt;span style="white-space:nowrap"&gt; &lt;span style="text-decoration-line:underline;color:rgb(0, 0, 0);line-height:8.5pt;word-break:break-all;white-space:nowrap;font-weight:bold;font-family:'times new roman';font-size:10pt"&gt;bny.com/investments/literaturecenter&lt;/span&gt; &lt;/span&gt; &lt;b&gt;  or upon request at 1-800-373-9387.&lt;/b&gt; &lt;/div&gt;</oef:SummaryOfChngLegendTextBlock>
    <oef:UpdProspectusWebAddress
      contextRef="D20251031_20260430_C000000295Member"
      id="t_58_4b0425e6_d7f8_9f0c_3697_aed558869a37">bny.com/investments/literaturecenter</oef:UpdProspectusWebAddress>
    <oef:UpdProspectusPhoneNumber
      contextRef="D20251031_20260430_C000000295Member"
      id="t_59_b6c341d1_026f_0251_039b_6bfbbc3b62e2">1-800-373-9387</oef:UpdProspectusPhoneNumber>
    <oef:FundName
      contextRef="D20251031_20260430_C000000296Member"
      id="t_40_ce792a5e_5ce0_f6a6_d55b_4f467ff27414">BNY Mellon Smallcap Stock Index Fund</oef:FundName>
    <oef:ClassName
      contextRef="D20251031_20260430_C000000296Member"
      id="t_41_d25a9cb5_6240_b5c2_9448_0add3f3c9658">Investor Shares</oef:ClassName>
    <dei:TradingSymbol
      contextRef="D20251031_20260430_C000000296Member"
      id="t_42_d241d3d3_3d37_c94b_5d92_8be15ae6036b">DISSX</dei:TradingSymbol>
    <oef:AnnlOrSemiAnnlStatementTextBlock
      contextRef="D20251031_20260430_C000000296Member"
      id="t_30_df56e69a_5c36_4e5f_ad8b_04328c27fca5">This semi-annual shareholder report contains important information about BNY Mellon Smallcap Stock Index Fund (the &#x201c;Fund&#x201d;) for the period of November 1, 2025 to April 30, 2026.</oef:AnnlOrSemiAnnlStatementTextBlock>
    <oef:ShareholderReportAnnualOrSemiAnnual
      contextRef="D20251031_20260430_C000000296Member"
      id="t_31_51db7e6d_c25b_42fe_a354_7aedde0a6cec">semi-annual shareholder report</oef:ShareholderReportAnnualOrSemiAnnual>
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      contextRef="D20251031_20260430_C000000296Member"
      id="t_32_eea423d5_9f08_4b2e_9756_8f7459bdac48">You can find additional information about the Fund at &lt;span style="white-space:nowrap"&gt;&lt;span style="text-decoration-line:underline;color:rgb(0, 0, 0);line-height:7.5pt;word-break:break-all;white-space:nowrap;font-weight:400;font-family:'times new roman';font-size:10pt"&gt;bny.com/investments/literaturecenter&lt;/span&gt;.&lt;/span&gt; You can also request this information by calling 1-800-373-9387 (inside the U.S. only) or by sending an e-mail request to info@bny.com.</oef:AddlInfoTextBlock>
    <oef:AddlInfoWebsite
      contextRef="D20251031_20260430_C000000296Member"
      id="t_34_ba2ba96d_359e_4997_ad47_48db6e086928">bny.com/investments/literaturecenter</oef:AddlInfoWebsite>
    <oef:AddlInfoPhoneNumber
      contextRef="D20251031_20260430_C000000296Member"
      id="t_35_f69ebc23_9b3e_4345_8f0b_cf8760e2d64a">1-800-373-9387</oef:AddlInfoPhoneNumber>
    <oef:AddlInfoEmail
      contextRef="D20251031_20260430_C000000296Member"
      id="t_33_f9adc10a_62e1_4e60_9f6c_f3a77200d41a">info@bny.com</oef:AddlInfoEmail>
    <oef:ExpensesTextBlock
      contextRef="D20251031_20260430_C000000296Member"
      id="t_36_43c31e99_08eb_40a8_a1f1_55441813bd40">&lt;div style="margin-top:0px;line-height:inherit;font-family:'times new roman';color:rgb(0, 0, 0);font-size:11pt;font-weight:bold;margin-bottom:2pt;"&gt; &lt;b&gt;What were the Fund&#x2019;s costs for the last &lt;/b&gt; &lt;b&gt;six months&lt;/b&gt; &lt;b&gt;?&lt;/b&gt; &lt;/div&gt;&lt;div style="font-weight:400;margin-top:0px;font-family:'times new roman';color:rgb(0, 0, 0);font-size:10pt;line-height:11pt;margin-bottom:3pt;"&gt;(based on a hypothetical $10,000 investment)&lt;/div&gt;&lt;table style="width:100%;border-collapse:collapse;page-break-inside:avoid;break-inside:avoid"&gt;
&lt;tr style="break-after:avoid;break-inside:avoid-page;page-break-inside:avoid;height:auto;background-color:rgb(0, 72, 94);border-bottom-color:initial;border-bottom-style:none;border-bottom-width:initial"&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; padding-top: 1pt; padding-right: 3pt; padding-bottom: 10pt; padding-left: 3pt; font-family: 'Times New Roman'; font-size: 9pt; line-height: 9pt; font-weight: bold; color: rgb(255, 255, 255); vertical-align: top; text-align: left; width: 25%;"&gt;Share Class&lt;/td&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; padding-top: 1pt; padding-right: 3pt; padding-bottom: 10pt; padding-left: 3pt; font-family: 'Times New Roman'; font-size: 9pt; line-height: 9pt; font-weight: bold; color: rgb(255, 255, 255); vertical-align: top; text-align: center; width: 30%;"&gt;Costs of a $10,000 investment&lt;/td&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; padding-top: 1pt; padding-right: 3pt; padding-bottom: 10pt; padding-left: 3pt; font-family: 'Times New Roman'; font-size: 9pt; line-height: 9pt; font-weight: bold; color: rgb(255, 255, 255); vertical-align: top; text-align: center; width: 40%;"&gt;Costs paid as a percentage of a $10,000 investment&lt;/td&gt; &lt;/tr&gt;
&lt;tr style="break-inside:avoid-page;page-break-inside:avoid;border-bottom-color:initial;border-bottom-style:none;border-bottom-width:initial;background-color:rgb(227, 235, 237);height:19pt"&gt;
&lt;td style="font-weight: 400; break-inside: avoid-page; page-break-inside: avoid; padding-top: 1pt; padding-right: 3pt; padding-bottom: 3pt; padding-left: 6pt; font-family: 'Times New Roman'; color: rgb(0, 0, 0); font-size: 9pt; line-height: 9pt; vertical-align: top; text-align: left; text-indent: -6pt;"&gt;Investor &lt;span style="white-space:nowrap"&gt;Shares&lt;sup style="vertical-align:super;font-size:5pt"&gt;*&lt;/sup&gt;&lt;/span&gt;&lt;/td&gt;
&lt;td style="font-weight: 400; break-inside: avoid-page; page-break-inside: avoid; padding-top: 1pt; padding-right: 3pt; padding-bottom: 3pt; padding-left: 3pt; font-family: 'Times New Roman'; color: rgb(0, 0, 0); font-size: 9pt; line-height: 9pt; text-align: center; vertical-align: top;"&gt;&lt;span style="float:none"&gt;$&lt;/span&gt;27&lt;/td&gt;
&lt;td style="font-weight: 400; break-inside: avoid-page; page-break-inside: avoid; padding-top: 1pt; padding-right: 3pt; padding-bottom: 3pt; padding-left: 3pt; white-space: nowrap; font-family: 'Times New Roman'; color: rgb(0, 0, 0); font-size: 9pt; line-height: 9pt; text-align: center; vertical-align: top;"&gt;0.50&lt;span&gt;%&lt;/span&gt;&lt;sup style="vertical-align:super;font-size:5pt"&gt;**&lt;/sup&gt;&lt;/td&gt; &lt;/tr&gt; &lt;/table&gt;&lt;table style="width:100%;border-collapse:collapse;page-break-inside:avoid;break-inside:avoid;margin-bottom:10pt"&gt;
&lt;tr style="break-inside:avoid-page;page-break-inside:avoid;height:auto;border-bottom-color:initial;border-bottom-style:none;border-bottom-width:initial"&gt;
&lt;td style="font-weight: 400; break-inside: avoid-page; page-break-inside: avoid; margin-bottom: 0; font-style: normal; font-family: 'Times New Roman'; color: rgb(0, 0, 0); font-size: 5pt; line-height: normal; padding-top: 0; padding-right: 0; padding-bottom: 0; padding-left: 0; width: 10pt; text-align: left; vertical-align: super;"&gt;*&lt;/td&gt;
&lt;td style="font-weight: 400; break-inside: avoid-page; page-break-inside: avoid; margin-bottom: 0; font-family: 'Times New Roman'; font-size: 9pt; line-height: normal; font-style: normal; text-align: left; vertical-align: top; color: rgb(0, 0, 0); padding-top: 0; padding-right: 0; padding-bottom: 0; padding-left: 0;"&gt;
&lt;div style="font-weight:400;margin-top:0px;font-family:'times new roman';font-size:9pt;line-height:normal;font-style:normal;text-align:left;vertical-align:top;color:rgb(0, 0, 0);padding-top:0px;padding-right:0px;padding-bottom:0px;padding-left:0px;margin-bottom:0px;"&gt;During the period, fees were waived and/or expenses reimbursed pursuant to an agreement with the Fund&#x2019;s investment adviser, BNY Mellon Investment Adviser, Inc.&lt;/div&gt;&lt;/td&gt; &lt;/tr&gt;
&lt;tr style="break-inside:avoid-page;page-break-inside:avoid;height:auto;border-bottom-color:initial;border-bottom-style:none;border-bottom-width:initial"&gt;
&lt;td style="font-weight: 400; break-inside: avoid-page; page-break-inside: avoid; margin-bottom: 0; font-style: normal; font-family: 'Times New Roman'; color: rgb(0, 0, 0); font-size: 5pt; line-height: normal; padding-top: 0; padding-right: 0; padding-bottom: 0; padding-left: 0; width: 10pt; text-align: left; vertical-align: super;"&gt;**&lt;/td&gt;
&lt;td style="font-weight: 400; break-inside: avoid-page; page-break-inside: avoid; margin-bottom: 0; font-family: 'Times New Roman'; font-size: 9pt; line-height: normal; font-style: normal; text-align: left; vertical-align: top; color: rgb(0, 0, 0); padding-top: 0; padding-right: 0; padding-bottom: 0; padding-left: 0;"&gt;
&lt;div style="font-weight:400;margin-top:0px;font-family:'times new roman';font-size:9pt;line-height:normal;font-style:normal;text-align:left;vertical-align:top;color:rgb(0, 0, 0);padding-top:0px;padding-right:0px;padding-bottom:0px;padding-left:0px;margin-bottom:0px;"&gt;Annualized.&lt;/div&gt;&lt;/td&gt; &lt;/tr&gt; &lt;/table&gt;</oef:ExpensesTextBlock>
    <oef:ExpensesPaidAmt
      contextRef="D20251031_20260430_C000000296Member"
      decimals="INF"
      id="h_16_ef239b72_789b_44fd_ae6c_7d334868b461"
      unitRef="USD">27</oef:ExpensesPaidAmt>
    <oef:ExpenseRatioPct
      contextRef="D20251031_20260430_C000000296Member"
      decimals="4"
      id="h_17_8455fc66_b823_4071_9f54_c0e01b6efaac"
      unitRef="pure">0.0050</oef:ExpenseRatioPct>
    <oef:AddlFundStatisticsTextBlock
      contextRef="D20251031_20260430_C000000296Member"
      id="t_37_4390c010_2ff6_4058_ba3c_13d2300fd95d">&lt;div style="line-height:inherit;font-family:'times new roman';color:rgb(0, 0, 0);font-size:11pt;font-weight:bold;margin-top:0px;margin-bottom:0px;"&gt; &lt;b&gt;KEY FUND STATISTICS (AS OF &lt;/b&gt; &lt;b&gt;4/30/26&lt;/b&gt; &lt;b&gt;)&lt;/b&gt; &lt;/div&gt;&lt;table style="width:100%;border-collapse:collapse;page-break-inside:avoid;break-inside:avoid"&gt;
&lt;tr style="break-after:avoid;break-inside:avoid-page;page-break-inside:avoid;height:auto;background-color:rgb(0, 72, 94);border-bottom-color:initial;border-bottom-style:none;border-bottom-width:initial"&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; font-family: 'Times New Roman'; font-size: 9pt; line-height: 9pt; font-weight: bold; color: rgb(255, 255, 255); padding-top: 1pt; padding-bottom: 10pt; padding-right: 3pt; padding-left: 3pt; width: 170pt; vertical-align: top; text-align: center;"&gt;&lt;br/&gt; Fund Size (Millions)&lt;/td&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; font-family: 'Times New Roman'; font-size: 9pt; line-height: 9pt; font-weight: bold; color: rgb(255, 255, 255); padding-top: 1pt; padding-bottom: 10pt; padding-right: 3pt; padding-left: 3pt; width: 170pt; vertical-align: top; text-align: center;"&gt;&lt;br/&gt; Number of Holdings&lt;/td&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; font-family: 'Times New Roman'; font-size: 9pt; line-height: 9pt; font-weight: bold; color: rgb(255, 255, 255); padding-top: 1pt; padding-bottom: 10pt; padding-right: 3pt; padding-left: 3pt; width: 170pt; vertical-align: top; text-align: center;"&gt;&lt;br/&gt; Portfolio Turnover&lt;/td&gt; &lt;/tr&gt;
&lt;tr style="break-inside:avoid-page;page-break-inside:avoid;border-bottom-color:initial;border-bottom-style:none;border-bottom-width:initial;background-color:rgb(227, 235, 237);height:19pt"&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; padding-right: 3pt; padding-left: 3pt; padding-top: 1pt; width: 170pt; font-family: 'Times New Roman'; font-weight: normal; font-size: 9pt; line-height: 9pt; vertical-align: top; text-align: center; color: rgb(0, 0, 0); padding-bottom: 1pt; border-left-color: initial; border-left-style: none; border-left-width: initial;"&gt;&lt;span style="float:none"&gt;$&lt;/span&gt;845&lt;/td&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; padding-right: 3pt; padding-left: 3pt; padding-top: 1pt; width: 170pt; font-family: 'Times New Roman'; font-weight: normal; font-size: 9pt; line-height: 9pt; vertical-align: top; text-align: center; color: rgb(0, 0, 0); padding-bottom: 1pt; border-left-color: initial; border-left-style: none; border-left-width: initial;"&gt;609&lt;/td&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; padding-right: 3pt; padding-left: 3pt; padding-top: 1pt; white-space: nowrap; width: 170pt; font-family: 'Times New Roman'; font-weight: normal; font-size: 9pt; line-height: 9pt; vertical-align: top; text-align: center; color: rgb(0, 0, 0); padding-bottom: 1pt; border-left-color: initial; border-left-style: none; border-left-width: initial;"&gt;28.66&lt;span&gt;%&lt;/span&gt;&lt;/td&gt; &lt;/tr&gt; &lt;/table&gt;</oef:AddlFundStatisticsTextBlock>
    <us-gaap:AssetsNet
      contextRef="TI20260430_C000000296Member"
      decimals="INF"
      id="h_18_d0185fe5_abb8_4056_8687_e96fe881f710"
      unitRef="USD">845000000</us-gaap:AssetsNet>
    <oef:HoldingsCount
      contextRef="TI20260430_C000000296Member"
      decimals="INF"
      id="h_19_48d7c542_cbe9_45c3_b6ea_d303d63d5acd"
      unitRef="Holding">609</oef:HoldingsCount>
    <us-gaap:InvestmentCompanyPortfolioTurnover
      contextRef="D20251031_20260430_C000000296Member"
      decimals="4"
      id="h_20_03d75d40_6f9c_458b_8fc3_af4a7839cc3f"
      unitRef="pure">0.2866</us-gaap:InvestmentCompanyPortfolioTurnover>
    <oef:HoldingsTableTextBlock
      contextRef="D20251031_20260430_C000000296Member"
      id="t_38_41294e10_ac3a_4559_a630_9450bfde6101">&lt;div style="margin-top:0px;line-height:inherit;text-transform:uppercase;margin-bottom:3pt;font-family:'times new roman';color:rgb(0, 0, 0);font-size:9pt;font-weight:bold;letter-spacing:0px;"&gt; &lt;b&gt;Portfolio Holdings (as of &lt;/b&gt; &lt;b&gt;4/30/26&lt;/b&gt; &lt;b&gt;)&lt;/b&gt; &lt;/div&gt;&lt;div style="margin-top:0px;line-height:inherit;font-family:'times new roman';color:rgb(0, 0, 0);font-size:9pt;font-weight:bold;letter-spacing:0px;text-transform:none;margin-bottom:0px;page-break-after:avoid;"&gt; &lt;b&gt;Top Ten Holdings (Based on Net Assets)&lt;/b&gt; &lt;b&gt; &lt;sup style="vertical-align:super;font-size:smaller"&gt;*&lt;/sup&gt; &lt;/b&gt; &lt;/div&gt;&lt;div style="font-family:'times new roman';font-size:9pt;font-weight:400;color:rgb(0, 0, 0);width:540pt;margin-left:18pt;margin-bottom:8pt;"&gt; &lt;img alt="Graphical Representation - Top N Holdings Chart" src="chartimages_11848051.jpg" style="margin-left: 50pt; width: 482pt;"/&gt;  &lt;/div&gt;&lt;div style="font-weight:400;font-family:'times new roman';font-size:9pt;line-height:10pt;color:rgb(0, 0, 0);margin-top:-4pt;margin-bottom:0px;"&gt;* Excludes money market funds or other short-term securities held for the investment of cash and cash collateral for securities loaned, if any.&lt;/div&gt;&lt;div style="margin-top:0px;line-height:inherit;font-family:'times new roman';color:rgb(0, 0, 0);font-size:9pt;font-weight:bold;letter-spacing:0px;text-transform:none;margin-bottom:0px;page-break-after:avoid;"&gt; &lt;b&gt;Sector Allocation (Based on Net Assets)&lt;/b&gt; &lt;/div&gt;&lt;div style="font-family:'times new roman';font-size:9pt;font-weight:400;color:rgb(0, 0, 0);width:540pt;margin-bottom:6pt;margin-left:18pt;"&gt; &lt;img alt="Graphical Representation - Allocation 1 Chart" src="chartimages_11848027.jpg" style="margin-left: 29pt; width: 437pt;"/&gt;  &lt;/div&gt;</oef:HoldingsTableTextBlock>
    <oef:LargestHoldingsTableTextBlock
      contextRef="D20251031_20260430_C000000296Member"
      id="t_43_7e601330_6937_68c4_3f78_dfc1d3adb732">&lt;div style="margin-top:0px;line-height:inherit;font-family:'times new roman';color:rgb(0, 0, 0);font-size:9pt;font-weight:bold;letter-spacing:0px;text-transform:none;margin-bottom:0px;page-break-after:avoid;"&gt; &lt;b&gt;Top Ten Holdings (Based on Net Assets)&lt;/b&gt; &lt;b&gt; &lt;sup style="vertical-align:super;font-size:smaller"&gt;*&lt;/sup&gt; &lt;/b&gt; &lt;/div&gt;&lt;div style="font-family:'times new roman';font-size:9pt;font-weight:400;color:rgb(0, 0, 0);width:540pt;margin-left:18pt;margin-bottom:8pt;"&gt; &lt;img alt="Graphical Representation - Top N Holdings Chart" src="chartimages_11848051.jpg" style="margin-left: 50pt; width: 482pt;"/&gt;  &lt;/div&gt;&lt;div style="font-weight:400;font-family:'times new roman';font-size:9pt;line-height:10pt;color:rgb(0, 0, 0);margin-top:-4pt;margin-bottom:0px;"&gt;* Excludes money market funds or other short-term securities held for the investment of cash and cash collateral for securities loaned, if any.&lt;/div&gt;</oef:LargestHoldingsTableTextBlock>
    <oef:FundName
      contextRef="D20251031_20260430_C000172468Member"
      id="t_48_1ca8153d_8d98_2dd8_79e4_3dbc7d7b6e2e">BNY Mellon Smallcap Stock Index Fund</oef:FundName>
    <oef:ClassName
      contextRef="D20251031_20260430_C000172468Member"
      id="t_49_9535c7d0_e5e4_34f8_d37e_a1e15fcfedcf">Class I</oef:ClassName>
    <dei:TradingSymbol
      contextRef="D20251031_20260430_C000172468Member"
      id="t_50_340572ea_aff8_1923_f181_84c24a6bd7dc">DISIX</dei:TradingSymbol>
    <oef:AnnlOrSemiAnnlStatementTextBlock
      contextRef="D20251031_20260430_C000172468Member"
      id="t_39_90bdc61f_0011_4251_a55b_8a73badc6643">This semi-annual shareholder report contains important information about BNY Mellon Smallcap Stock Index Fund (the &#x201c;Fund&#x201d;) for the period of November 1, 2025 to April 30, 2026.</oef:AnnlOrSemiAnnlStatementTextBlock>
    <oef:ShareholderReportAnnualOrSemiAnnual
      contextRef="D20251031_20260430_C000172468Member"
      id="t_40_9144e155_09a8_4c79_9c57_a142e39bd713">semi-annual shareholder report</oef:ShareholderReportAnnualOrSemiAnnual>
    <oef:AddlInfoTextBlock
      contextRef="D20251031_20260430_C000172468Member"
      id="t_41_a9fb7e64_bee9_4505_adbe_b02df8b02ea9">You can find additional information about the Fund at &lt;span style="white-space: nowrap;"&gt;&lt;span style="text-decoration-line: underline; color: rgb(0, 0, 0); line-height: 7.5pt; word-break: break-all; white-space: nowrap; font-weight: 400; font-family: 'times new roman'; font-size: 10pt;"&gt;bny.com/investments/literaturecenter&lt;/span&gt;.&lt;/span&gt; You can also request this information by calling 1-800-373-9387 (inside the U.S. only) or by sending an e-mail request to info@bny.com.</oef:AddlInfoTextBlock>
    <oef:AddlInfoWebsite
      contextRef="D20251031_20260430_C000172468Member"
      id="t_43_9b3a1435_119a_4cff_af5d_0ac097877f2e">bny.com/investments/literaturecenter</oef:AddlInfoWebsite>
    <oef:AddlInfoPhoneNumber
      contextRef="D20251031_20260430_C000172468Member"
      id="t_44_43bed17a_e90c_4c06_b9af_c25bc8f49e64">1-800-373-9387</oef:AddlInfoPhoneNumber>
    <oef:AddlInfoEmail
      contextRef="D20251031_20260430_C000172468Member"
      id="t_42_b6c94cff_8366_4fbb_821b_97567dcd6d8b">info@bny.com</oef:AddlInfoEmail>
    <oef:ExpensesTextBlock
      contextRef="D20251031_20260430_C000172468Member"
      id="t_45_9566449a_7d16_4020_9c33_595715f246b6">
&lt;div style="margin-top: 0px; line-height: inherit; font-family: 'times new roman'; color: rgb(0, 0, 0); font-size: 11pt; font-weight: bold; margin-bottom: 2pt;"&gt;&lt;b&gt;What were the Fund&#x2019;s costs for the last &lt;/b&gt; &lt;b&gt;six months&lt;/b&gt; &lt;b&gt;?&lt;/b&gt;&lt;/div&gt;

&lt;div style="font-weight: 400; margin-top: 0px; font-family: 'times new roman'; color: rgb(0, 0, 0); font-size: 10pt; line-height: 11pt; margin-bottom: 3pt;"&gt;(based on a hypothetical $10,000 investment)&lt;/div&gt;

&lt;table style="width: 100%; border-collapse: collapse; page-break-inside: avoid; break-inside: avoid;"&gt;

&lt;tr style="break-after: avoid; break-inside: avoid-page; page-break-inside: avoid; height: auto; background-color: rgb(0, 72, 94); border-bottom-color: initial; border-bottom-style: none; border-bottom-width: initial;"&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; font-family: 'Times New Roman'; font-size: 9pt; line-height: 9pt; font-weight: bold; color: rgb(255, 255, 255); vertical-align: top; text-align: left; width: 25%; padding: 1pt 3pt 10pt 3pt;"&gt;Share Class&lt;/td&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; font-family: 'Times New Roman'; font-size: 9pt; line-height: 9pt; font-weight: bold; color: rgb(255, 255, 255); vertical-align: top; text-align: center; width: 30%; padding: 1pt 3pt 10pt 3pt;"&gt;Costs of a $10,000 investment&lt;/td&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; font-family: 'Times New Roman'; font-size: 9pt; line-height: 9pt; font-weight: bold; color: rgb(255, 255, 255); vertical-align: top; text-align: center; width: 40%; padding: 1pt 3pt 10pt 3pt;"&gt;Costs paid as a percentage of a $10,000 investment&lt;/td&gt;
&lt;/tr&gt;
&lt;tr style="break-inside: avoid-page; page-break-inside: avoid; border-bottom-color: initial; border-bottom-style: none; border-bottom-width: initial; background-color: rgb(227, 235, 237); height: 19pt;"&gt;
&lt;td style="font-weight: 400; break-inside: avoid-page; page-break-inside: avoid; font-family: 'Times New Roman'; color: rgb(0, 0, 0); font-size: 9pt; line-height: 9pt; vertical-align: top; text-align: left; text-indent: -6pt; padding: 1pt 3pt 3pt 6pt;"&gt;Class &lt;span style="white-space: nowrap;"&gt;I&lt;sup style="vertical-align: super; font-size: 5pt;"&gt;*&lt;/sup&gt;&lt;/span&gt;&lt;/td&gt;
&lt;td style="font-weight: 400; break-inside: avoid-page; page-break-inside: avoid; font-family: 'Times New Roman'; color: rgb(0, 0, 0); font-size: 9pt; line-height: 9pt; text-align: center; vertical-align: top; padding: 1pt 3pt 3pt 3pt;"&gt;&lt;span style="float: none;"&gt;$&lt;/span&gt;13&lt;/td&gt;
&lt;td style="font-weight: 400; break-inside: avoid-page; page-break-inside: avoid; white-space: nowrap; font-family: 'Times New Roman'; color: rgb(0, 0, 0); font-size: 9pt; line-height: 9pt; text-align: center; vertical-align: top; padding: 1pt 3pt 3pt 3pt;"&gt;0.25&lt;span&gt;%&lt;/span&gt;&lt;sup style="vertical-align: super; font-size: 5pt;"&gt;**&lt;/sup&gt;&lt;/td&gt;
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&lt;td style="font-weight: 400; break-inside: avoid-page; page-break-inside: avoid; margin-bottom: 0; font-style: normal; font-family: 'Times New Roman'; color: rgb(0, 0, 0); font-size: 5pt; line-height: normal; width: 10pt; text-align: left; vertical-align: super; padding: 0;"&gt;*&lt;/td&gt;
&lt;td style="font-weight: 400; break-inside: avoid-page; page-break-inside: avoid; margin-bottom: 0; font-family: 'Times New Roman'; font-size: 9pt; line-height: normal; font-style: normal; text-align: left; vertical-align: top; color: rgb(0, 0, 0); padding: 0;"&gt;

&lt;div style="font-weight: 400; margin-top: 0px; font-family: 'times new roman'; font-size: 9pt; line-height: normal; font-style: normal; text-align: left; vertical-align: top; color: rgb(0, 0, 0); margin-bottom: 0px; padding: 0px;"&gt;During the period, fees were waived and/or expenses reimbursed pursuant to an agreement with the Fund&#x2019;s investment adviser, BNY Mellon Investment Adviser, Inc.&lt;/div&gt;

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&lt;td style="font-weight: 400; break-inside: avoid-page; page-break-inside: avoid; margin-bottom: 0; font-style: normal; font-family: 'Times New Roman'; color: rgb(0, 0, 0); font-size: 5pt; line-height: normal; width: 10pt; text-align: left; vertical-align: super; padding: 0;"&gt;**&lt;/td&gt;
&lt;td style="font-weight: 400; break-inside: avoid-page; page-break-inside: avoid; margin-bottom: 0; font-family: 'Times New Roman'; font-size: 9pt; line-height: normal; font-style: normal; text-align: left; vertical-align: top; color: rgb(0, 0, 0); padding: 0;"&gt;

&lt;div style="font-weight: 400; margin-top: 0px; font-family: 'times new roman'; font-size: 9pt; line-height: normal; font-style: normal; text-align: left; vertical-align: top; color: rgb(0, 0, 0); margin-bottom: 0px; padding: 0px;"&gt;Annualized.&lt;/div&gt;

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&lt;tr style="break-after: avoid; break-inside: avoid-page; page-break-inside: avoid; height: auto; background-color: rgb(0, 72, 94); border-bottom-color: initial; border-bottom-style: none; border-bottom-width: initial;"&gt;
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&lt;td style="break-inside: avoid-page; page-break-inside: avoid; font-family: 'Times New Roman'; font-size: 9pt; line-height: 9pt; font-weight: bold; color: rgb(255, 255, 255); width: 170pt; vertical-align: top; text-align: center; padding: 1pt 3pt 10pt 3pt;"&gt;&lt;br/&gt;Number of Holdings&lt;/td&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; font-family: 'Times New Roman'; font-size: 9pt; line-height: 9pt; font-weight: bold; color: rgb(255, 255, 255); width: 170pt; vertical-align: top; text-align: center; padding: 1pt 3pt 10pt 3pt;"&gt;&lt;br/&gt;Portfolio Turnover&lt;/td&gt;
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&lt;tr style="break-inside: avoid-page; page-break-inside: avoid; border-bottom-color: initial; border-bottom-style: none; border-bottom-width: initial; background-color: rgb(227, 235, 237); height: 19pt;"&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; width: 170pt; font-family: 'Times New Roman'; font-weight: normal; font-size: 9pt; line-height: 9pt; vertical-align: top; text-align: center; color: rgb(0, 0, 0); border-left-color: initial; border-left-style: none; border-left-width: initial; padding: 1pt 3pt 1pt 3pt;"&gt;&lt;span style="float: none;"&gt;$&lt;/span&gt;845&lt;/td&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; width: 170pt; font-family: 'Times New Roman'; font-weight: normal; font-size: 9pt; line-height: 9pt; vertical-align: top; text-align: center; color: rgb(0, 0, 0); border-left-color: initial; border-left-style: none; border-left-width: initial; padding: 1pt 3pt 1pt 3pt;"&gt;609&lt;/td&gt;
&lt;td style="break-inside: avoid-page; page-break-inside: avoid; white-space: nowrap; width: 170pt; font-family: 'Times New Roman'; font-weight: normal; font-size: 9pt; line-height: 9pt; vertical-align: top; text-align: center; color: rgb(0, 0, 0); border-left-color: initial; border-left-style: none; border-left-width: initial; padding: 1pt 3pt 1pt 3pt;"&gt;28.66&lt;span&gt;%&lt;/span&gt;&lt;/td&gt;
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