{"id":394,"date":"2021-07-27T16:29:37","date_gmt":"2021-07-27T16:29:37","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/?post_type=chapter&#038;p=394"},"modified":"2022-01-13T20:28:59","modified_gmt":"2022-01-13T20:28:59","slug":"translating-and-solving-basic-percent-equations","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/chapter\/translating-and-solving-basic-percent-equations\/","title":{"raw":"Translating and Solving Basic Percent Equations","rendered":"Translating and Solving Basic Percent Equations"},"content":{"raw":"<div class=\"textbox learning-objectives\">\r\n<h3>Learning Outcomes<\/h3>\r\n<ul>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">Identify the amount, the base, and the percent in a percent problem<\/li>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">Translate and solve basic percent equations<\/li>\r\n<\/ul>\r\n<\/div>\r\nWe will solve percent equations by using the methods we use to solve equations with fractions or decimals. You can translate word sentences into algebraic equations, and then solve the equations.\r\n\r\nPercents are fractions, and just like fractions, when finding a percent (or fraction, or portion) of another amount, you multiply.\r\n<ul>\r\n \t<li><strong>percent<\/strong>:\u00a0has the percent symbol (%) or the word \u201cpercent\u201d<\/li>\r\n \t<li><strong>amount<\/strong>:\u00a0part of the whole<\/li>\r\n \t<li><strong>base<\/strong>:\u00a0the whole amount<\/li>\r\n<\/ul>\r\n<div class=\"textbox shaded\">\r\n<h3>The Percent Equation<\/h3>\r\nPercent of the Base is the Amount\r\n<p style=\"text-align: center;\">[latex]\\text{Percent}\\cdot\\text{Base}=\\text{Amount}[\/latex]<\/p>\r\n\r\n<\/div>\r\n<h2>Percent of a Whole<\/h2>\r\nWe can use this equation to help us solve equations that require us to find the percent of a whole.\r\n\r\nFor example, if we know a container holds [latex]5[\/latex] quarts of liquid, and we want to know how many quarts are in [latex]\\frac{1}{4}[\/latex] of the container, we would find [latex]\\frac{1}{4}[\/latex] of [latex]5[\/latex] quarts by multiplying: [latex]\\frac{1}{4} \\cdot 5 = \\frac{5}{4} = 1.25[\/latex] quarts. Similarly, if we wanted to find [latex]25 \\%[\/latex] of [latex]5[\/latex] quarts, we could find this by multiplying, but first we need to convert [latex]25 \\%[\/latex] to a decimal:\r\n<p style=\"text-align: center;\">[latex]25 \\% \\ \\mathrm{of} \\ 5 \\ \\mathrm{quarts} = 0.25 \\cdot 5 = 1.25 \\ \\mathrm{quarts}[\/latex]<\/p>\r\n\r\n<div class=\"textbox shaded\">\r\n<h3>Finding a Percent of a Whole<\/h3>\r\nTo find a percent of a whole,\r\n<ul>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">Write the percent as a decimal by moving the decimal two places to the left<\/li>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">Then multiply the percent by the whole (the base)<\/li>\r\n<\/ul>\r\n<\/div>\r\n<div class=\"bcc-box bcc-info\">\r\n<h3>Example<\/h3>\r\nFind [latex]30 \\%[\/latex] of [latex]200[\/latex].\r\n\r\n[reveal-answer q=\"131199\"]Show Answer[\/reveal-answer]\r\n[hidden-answer a=\"131199\"]\r\n\r\nConvert [latex]30 \\%[\/latex] to a decimal and multiply the base (whole amount), [latex]200[\/latex].\r\n<p style=\"text-align: center;\">[latex]0.30 \\cdot 200 = 60[\/latex]<\/p>\r\n[latex] 60 \\ \\mathrm{is} \\ 30 \\% \\ \\mathrm{of} \\ 200[\/latex].\r\n<p style=\"text-align: center;\">[latex]0.30[\/latex] is the <strong>percent<\/strong><\/p>\r\n<p style=\"text-align: center;\">[latex]200[\/latex] is the <strong>base<\/strong><\/p>\r\n<p style=\"text-align: center;\">[latex]60[\/latex] is the <strong>amount<\/strong><\/p>\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n<div class=\"bcc-box bcc-info\">\r\n<h3>Example<\/h3>\r\nWhat is [latex]5.3 \\% \\ \\mathrm{of} \\ 180[\/latex]?\r\n\r\n[reveal-answer q=\"937645\"]Show Answer[\/reveal-answer]\r\n[hidden-answer a=\"937645\"]\r\n\r\nConvert [latex]5.3 \\%[\/latex] to a decimal and multiply the base, [latex]180[\/latex].\r\n<p style=\"text-align: center;\">[latex]0.053 \\cdot 180 = 9.54[\/latex]<\/p>\r\n[latex]9.54 \\ \\mathrm{is} \\ 5.3 \\% \\ \\mathrm{of} \\ 180 [\/latex].\r\n<p style=\"text-align: center;\">[latex]0.053[\/latex] is the <strong>percent<\/strong><\/p>\r\n<p style=\"text-align: center;\">[latex]180[\/latex] is the <strong>base<\/strong><\/p>\r\n<p style=\"text-align: center;\">[latex]9.54[\/latex] is the <strong>amount<\/strong><\/p>\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\nThe following video contains an example that is similar to the one above.\r\n\r\nhttps:\/\/youtu.be\/jTM7ZMvAzsc\r\n<div class=\"textbox key-takeaways\">\r\n<h3>try it<\/h3>\r\n[ohm_question]80094[\/ohm_question]\r\n\r\n<\/div>\r\nThe video that follows shows how to use the percent equation to find the amount in a percent equation when the percent is greater than [latex]100 \\%[\/latex].\r\n\r\nhttps:\/\/www.youtube.com\/watch?v=dO3AaW_c9s0\r\n<h2>Solve for the Base<\/h2>\r\nIn the next examples, we are asked to find the base.\r\n\r\nOnce you have an equation, you can solve it and find the unknown value. For example, to solve\u00a0 [latex]40\\%\\cdot{x}=50[\/latex] you can divide [latex]50[\/latex] by [latex]40\\%[\/latex] to find the unknown:\r\n<p style=\"text-align: center;\">[latex]40\\%\\cdot{x}=50[\/latex]<\/p>\r\nYou can solve this by writing the percent as a decimal or fraction and then dividing.\r\n<p style=\"text-align: center;\">[latex]0.40\\cdot{x}=50[\/latex]<\/p>\r\n<p style=\"text-align: center;\">[latex]x=50 \\div 0.40=125[\/latex]<\/p>\r\n\r\n<div class=\"bcc-box bcc-info\">\r\n<h3>Example<\/h3>\r\n[latex]156[\/latex] is [latex]65 \\%[\/latex] of what number?\r\n\r\n[reveal-answer q=\"178777\"]Show Answer[\/reveal-answer]\r\n[hidden-answer a=\"178777\"]\r\n\r\nThis problem states that [latex]156[\/latex] is [latex]65 \\%[\/latex] of an unknown base. We can use any variable to represent the base. Let\u2019s use <em>b<\/em> to represent our unknown base.\r\n<p style=\"text-align: center;\">[latex]0.65 \\cdot b = 156[\/latex]<\/p>\r\n<p style=\"text-align: center;\">[latex]b = \\frac{156}{0.65} = 240[\/latex]<\/p>\r\n[latex]156[\/latex] is [latex]65 \\%[\/latex] of [latex]240[\/latex]\r\n<p style=\"text-align: center;\">[latex]0.65[\/latex] is the <strong>percent<\/strong><\/p>\r\n<p style=\"text-align: center;\">[latex]240[\/latex] is the <strong>base<\/strong><\/p>\r\n<p style=\"text-align: center;\">[latex]156[\/latex] is the <strong>amount<\/strong><\/p>\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\nIn the following video we show another example of how to find the base or whole given percent and amount.\r\n\r\nhttps:\/\/youtu.be\/3etjmUw8K3A\r\n<div class=\"textbox key-takeaways\">\r\n<h3>try it<\/h3>\r\n[ohm_question]80098[\/ohm_question]\r\n\r\n<\/div>\r\n<h2>Solve for the Percent<\/h2>\r\nIn the next example, we will solve for the percent.\r\n<div class=\"textbox exercises\">\r\n<h3>example<\/h3>\r\nWhat percent of [latex]36[\/latex] is [latex]27?[\/latex]\r\n\r\n[reveal-answer q=\"174711\"]Show Answer[\/reveal-answer]\r\n[hidden-answer a=\"174711\"]\r\n\r\nIn this problem, [latex]27[\/latex] is an unknown percent of [latex]36[\/latex]. Let's represent the unknown percent by <em>p<\/em>. Write the equation representing the statement and solve for <em>p<\/em>.\r\n<p style=\"text-align: center;\">[latex]p \\cdot 36 = 27[\/latex]<\/p>\r\n<p style=\"text-align: center;\">[latex]p = \\frac{27}{36} = 0.75 = 75 \\%[\/latex]<\/p>\r\n[latex]27[\/latex] is [latex]75 \\%[\/latex] of [latex]36[\/latex].\r\n<p style=\"text-align: center;\">The <strong>percent<\/strong> is\u00a0[latex]75 \\%[\/latex]<\/p>\r\n<p style=\"text-align: center;\">The <strong>base<\/strong> is\u00a0[latex]36[\/latex]<\/p>\r\n<p style=\"text-align: center;\">The <strong>amount<\/strong> is\u00a0[latex]27[\/latex]<\/p>\r\n<p style=\"text-align: left;\">[\/hidden-answer]<\/p>\r\n\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>try it<\/h3>\r\n[ohm_question]146866[\/ohm_question]\r\n\r\n<\/div>\r\nIn the next video we show another example of how to find the percent given amount and the base.\r\n\r\nhttps:\/\/youtu.be\/p2KHHFMhJRs","rendered":"<div class=\"textbox learning-objectives\">\n<h3>Learning Outcomes<\/h3>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\">Identify the amount, the base, and the percent in a percent problem<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\">Translate and solve basic percent equations<\/li>\n<\/ul>\n<\/div>\n<p>We will solve percent equations by using the methods we use to solve equations with fractions or decimals. You can translate word sentences into algebraic equations, and then solve the equations.<\/p>\n<p>Percents are fractions, and just like fractions, when finding a percent (or fraction, or portion) of another amount, you multiply.<\/p>\n<ul>\n<li><strong>percent<\/strong>:\u00a0has the percent symbol (%) or the word \u201cpercent\u201d<\/li>\n<li><strong>amount<\/strong>:\u00a0part of the whole<\/li>\n<li><strong>base<\/strong>:\u00a0the whole amount<\/li>\n<\/ul>\n<div class=\"textbox shaded\">\n<h3>The Percent Equation<\/h3>\n<p>Percent of the Base is the Amount<\/p>\n<p style=\"text-align: center;\">[latex]\\text{Percent}\\cdot\\text{Base}=\\text{Amount}[\/latex]<\/p>\n<\/div>\n<h2>Percent of a Whole<\/h2>\n<p>We can use this equation to help us solve equations that require us to find the percent of a whole.<\/p>\n<p>For example, if we know a container holds [latex]5[\/latex] quarts of liquid, and we want to know how many quarts are in [latex]\\frac{1}{4}[\/latex] of the container, we would find [latex]\\frac{1}{4}[\/latex] of [latex]5[\/latex] quarts by multiplying: [latex]\\frac{1}{4} \\cdot 5 = \\frac{5}{4} = 1.25[\/latex] quarts. Similarly, if we wanted to find [latex]25 \\%[\/latex] of [latex]5[\/latex] quarts, we could find this by multiplying, but first we need to convert [latex]25 \\%[\/latex] to a decimal:<\/p>\n<p style=\"text-align: center;\">[latex]25 \\% \\ \\mathrm{of} \\ 5 \\ \\mathrm{quarts} = 0.25 \\cdot 5 = 1.25 \\ \\mathrm{quarts}[\/latex]<\/p>\n<div class=\"textbox shaded\">\n<h3>Finding a Percent of a Whole<\/h3>\n<p>To find a percent of a whole,<\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\">Write the percent as a decimal by moving the decimal two places to the left<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\">Then multiply the percent by the whole (the base)<\/li>\n<\/ul>\n<\/div>\n<div class=\"bcc-box bcc-info\">\n<h3>Example<\/h3>\n<p>Find [latex]30 \\%[\/latex] of [latex]200[\/latex].<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q131199\">Show Answer<\/span><\/p>\n<div id=\"q131199\" class=\"hidden-answer\" style=\"display: none\">\n<p>Convert [latex]30 \\%[\/latex] to a decimal and multiply the base (whole amount), [latex]200[\/latex].<\/p>\n<p style=\"text-align: center;\">[latex]0.30 \\cdot 200 = 60[\/latex]<\/p>\n<p>[latex]60 \\ \\mathrm{is} \\ 30 \\% \\ \\mathrm{of} \\ 200[\/latex].<\/p>\n<p style=\"text-align: center;\">[latex]0.30[\/latex] is the <strong>percent<\/strong><\/p>\n<p style=\"text-align: center;\">[latex]200[\/latex] is the <strong>base<\/strong><\/p>\n<p style=\"text-align: center;\">[latex]60[\/latex] is the <strong>amount<\/strong><\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"bcc-box bcc-info\">\n<h3>Example<\/h3>\n<p>What is [latex]5.3 \\% \\ \\mathrm{of} \\ 180[\/latex]?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q937645\">Show Answer<\/span><\/p>\n<div id=\"q937645\" class=\"hidden-answer\" style=\"display: none\">\n<p>Convert [latex]5.3 \\%[\/latex] to a decimal and multiply the base, [latex]180[\/latex].<\/p>\n<p style=\"text-align: center;\">[latex]0.053 \\cdot 180 = 9.54[\/latex]<\/p>\n<p>[latex]9.54 \\ \\mathrm{is} \\ 5.3 \\% \\ \\mathrm{of} \\ 180[\/latex].<\/p>\n<p style=\"text-align: center;\">[latex]0.053[\/latex] is the <strong>percent<\/strong><\/p>\n<p style=\"text-align: center;\">[latex]180[\/latex] is the <strong>base<\/strong><\/p>\n<p style=\"text-align: center;\">[latex]9.54[\/latex] is the <strong>amount<\/strong><\/p>\n<\/div>\n<\/div>\n<\/div>\n<p>The following video contains an example that is similar to the one above.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-1\" title=\"Find the Percent of a Number\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/jTM7ZMvAzsc?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<div class=\"textbox key-takeaways\">\n<h3>try it<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm80094\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=80094&theme=oea&iframe_resize_id=ohm80094&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<\/div>\n<p>The video that follows shows how to use the percent equation to find the amount in a percent equation when the percent is greater than [latex]100 \\%[\/latex].<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-2\" title=\"Use a Percent Equation to Solve for an Amount or Part of a Whole\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/dO3AaW_c9s0?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<h2>Solve for the Base<\/h2>\n<p>In the next examples, we are asked to find the base.<\/p>\n<p>Once you have an equation, you can solve it and find the unknown value. For example, to solve\u00a0 [latex]40\\%\\cdot{x}=50[\/latex] you can divide [latex]50[\/latex] by [latex]40\\%[\/latex] to find the unknown:<\/p>\n<p style=\"text-align: center;\">[latex]40\\%\\cdot{x}=50[\/latex]<\/p>\n<p>You can solve this by writing the percent as a decimal or fraction and then dividing.<\/p>\n<p style=\"text-align: center;\">[latex]0.40\\cdot{x}=50[\/latex]<\/p>\n<p style=\"text-align: center;\">[latex]x=50 \\div 0.40=125[\/latex]<\/p>\n<div class=\"bcc-box bcc-info\">\n<h3>Example<\/h3>\n<p>[latex]156[\/latex] is [latex]65 \\%[\/latex] of what number?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q178777\">Show Answer<\/span><\/p>\n<div id=\"q178777\" class=\"hidden-answer\" style=\"display: none\">\n<p>This problem states that [latex]156[\/latex] is [latex]65 \\%[\/latex] of an unknown base. We can use any variable to represent the base. Let\u2019s use <em>b<\/em> to represent our unknown base.<\/p>\n<p style=\"text-align: center;\">[latex]0.65 \\cdot b = 156[\/latex]<\/p>\n<p style=\"text-align: center;\">[latex]b = \\frac{156}{0.65} = 240[\/latex]<\/p>\n<p>[latex]156[\/latex] is [latex]65 \\%[\/latex] of [latex]240[\/latex]<\/p>\n<p style=\"text-align: center;\">[latex]0.65[\/latex] is the <strong>percent<\/strong><\/p>\n<p style=\"text-align: center;\">[latex]240[\/latex] is the <strong>base<\/strong><\/p>\n<p style=\"text-align: center;\">[latex]156[\/latex] is the <strong>amount<\/strong><\/p>\n<\/div>\n<\/div>\n<\/div>\n<p>In the following video we show another example of how to find the base or whole given percent and amount.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-3\" title=\"Use a Percent Equation to Solve for a Base or Whole Amount\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/3etjmUw8K3A?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<div class=\"textbox key-takeaways\">\n<h3>try it<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm80098\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=80098&theme=oea&iframe_resize_id=ohm80098&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<\/div>\n<h2>Solve for the Percent<\/h2>\n<p>In the next example, we will solve for the percent.<\/p>\n<div class=\"textbox exercises\">\n<h3>example<\/h3>\n<p>What percent of [latex]36[\/latex] is [latex]27?[\/latex]<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q174711\">Show Answer<\/span><\/p>\n<div id=\"q174711\" class=\"hidden-answer\" style=\"display: none\">\n<p>In this problem, [latex]27[\/latex] is an unknown percent of [latex]36[\/latex]. Let&#8217;s represent the unknown percent by <em>p<\/em>. Write the equation representing the statement and solve for <em>p<\/em>.<\/p>\n<p style=\"text-align: center;\">[latex]p \\cdot 36 = 27[\/latex]<\/p>\n<p style=\"text-align: center;\">[latex]p = \\frac{27}{36} = 0.75 = 75 \\%[\/latex]<\/p>\n<p>[latex]27[\/latex] is [latex]75 \\%[\/latex] of [latex]36[\/latex].<\/p>\n<p style=\"text-align: center;\">The <strong>percent<\/strong> is\u00a0[latex]75 \\%[\/latex]<\/p>\n<p style=\"text-align: center;\">The <strong>base<\/strong> is\u00a0[latex]36[\/latex]<\/p>\n<p style=\"text-align: center;\">The <strong>amount<\/strong> is\u00a0[latex]27[\/latex]<\/p>\n<p style=\"text-align: left;\"><\/div>\n<\/div>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>try it<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm146866\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146866&theme=oea&iframe_resize_id=ohm146866&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<\/div>\n<p>In the next video we show another example of how to find the percent given amount and the base.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-4\" title=\"Use the Percent Equation to Find a Percent\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/p2KHHFMhJRs?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-394\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Original<\/div><ul class=\"citation-list\"><li>Question ID: 80094, 80098, 146866. <strong>Authored by<\/strong>: Alyson Day. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: IMathAS Community License CC-BY + GPL<\/li><li><strong>Authored by<\/strong>: Lumen Learning. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Find the Percent of a Number. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com) for Lumen Learning. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/jTM7ZMvAzsc\">https:\/\/youtu.be\/jTM7ZMvAzsc<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>Use the Percent Equation to Find a Percent. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com) for Lumen Learning. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/p2KHHFMhJRs\">https:\/\/youtu.be\/p2KHHFMhJRs<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>Use a Percent Equation to Solve for a Base or Whole Amount. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com) for Lumen Learning. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/3etjmUw8K3A\">https:\/\/youtu.be\/3etjmUw8K3A<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Specific attribution<\/div><ul class=\"citation-list\"><li>Prealgebra. <strong>Provided by<\/strong>: OpenStax. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: Access for free at https:\/\/openstax.org\/books\/prealgebra\/pages\/1-introduction<\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":169134,"menu_order":6,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc-attribution\",\"description\":\"Prealgebra\",\"author\":\"\",\"organization\":\"OpenStax\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"Access for free at https:\/\/openstax.org\/books\/prealgebra\/pages\/1-introduction\"},{\"type\":\"cc\",\"description\":\"Find the Percent of a Number\",\"author\":\"James Sousa (Mathispower4u.com) for Lumen Learning\",\"organization\":\"\",\"url\":\"https:\/\/youtu.be\/jTM7ZMvAzsc\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Use the Percent Equation to Find a 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