{"id":4552,"date":"2022-02-06T19:23:18","date_gmt":"2022-02-06T19:23:18","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=4552"},"modified":"2022-02-06T19:23:18","modified_gmt":"2022-02-06T19:23:18","slug":"finding-percent-of-change","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/finding-percent-of-change\/","title":{"rendered":"Finding Percent of Change"},"content":{"rendered":"[vc_section full_width=&#8221;stretch_row&#8221; content_placement=&#8221;middle&#8221; css=&#8221;.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}&#8221; el_id=&#8221;bg-sec&#8221;][vc_row full_width=&#8221;stretch_row_content&#8221; el_class=&#8221;faaaq&#8221;][vc_column width=&#8221;1\/12&#8243;][\/vc_column][vc_column width=&#8221;1\/2&#8243;][vc_row_inner content_placement=&#8221;middle&#8221; el_class=&#8221;topheadingg&#8221;][vc_column_inner width=&#8221;1\/6&#8243;][vc_single_image image=&#8221;2283&#8243; img_size=&#8221;full&#8221;][\/vc_column_inner][vc_column_inner width=&#8221;5\/6&#8243;][vc_column_text]\n<h5>Finding Percent of Change<\/h5>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=&#8221;headingnew&#8221;]Concept[\/vc_column_text][vc_column_text]The percentage change (or) the percentage change of a quantity is the ratio of the difference in the quantity to its initial value multiplied by 100. There is always a change in percentage change (or) the percent change of a quantity when the percent of its initial value is either increased or decreased to obtain its final value.[\/vc_column_text][vc_column_text el_class=&#8221;headingnew&#8221;]Rules[\/vc_column_text][vc_column_text]<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/finding-percent-of-change\"><strong>Percent of Change:<\/strong><\/a><br \/>\nCalculate the percent change using the equation<\/p>\n<p>Percent change = <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&amp;space;\\frac{New\\;&amp;space;Value&amp;space;\\;&amp;space;-&amp;space;\\;&amp;space;Old&amp;space;\\;&amp;space;Value}{Old&amp;space;\\;&amp;space;Value}\" alt=\"\\fn_phv \\frac{New\\; Value \\; - \\; Old \\; Value}{Old \\; Value}\" align=\"absmiddle\" \/> \u00d7 100%<\/p>\n<p>If the result is positive, it is an increase<br \/>\nIf the result is negative, it is a decrease<\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/finding-percent-of-change\"><strong>Percent Error<\/strong><\/a><br \/>\nCalculate the percent error using the equation<\/p>\n<p>Percent error = <img src=\"https:\/\/latex.codecogs.com\/gif.latex?\\fn_phv&amp;space;\\frac{Amount\\;&amp;space;of\\;&amp;space;error}{Actual\\;&amp;space;Amount}\" alt=\"\\fn_phv \\frac{Amount\\; of\\; error}{Actual\\; Amount}\" align=\"absmiddle\" \/>\u00a0\u00d7 100%[\/vc_column_text][vc_column_text el_class=&#8221;headingnew&#8221;]Example[\/vc_column_text][vc_column_text]<span style=\"color: #16a085;\"><strong>Find the percent of change.<br \/>\n<\/strong><\/span><strong>50 meters to 40 meters<\/strong>[\/vc_column_text][vc_column_text el_class=&#8221;headingnew&#8221;]Solution[\/vc_column_text][vc_column_text]Percent change = <img src=\"https:\/\/latex.codecogs.com\/gif.latex?\\fn_phv&amp;space;\\frac{40m&amp;space;\\;&amp;space;-&amp;space;\\;&amp;space;50m}{50m}\" alt=\"\\fn_phv \\frac{40m \\; - \\; 50m}{50m}\" align=\"absmiddle\" \/>\u00a0\u00d7 100%<\/p>\n<p>Percent change = <img src=\"https:\/\/latex.codecogs.com\/gif.latex?\\fn_phv&amp;space;\\frac{-10m}{50m}\" alt=\"\\fn_phv \\frac{-10m}{50m}\" align=\"absmiddle\" \/>\u00a0\u00d7 100%<\/p>\n<p>Percent change = -0.2 x 100%<br \/>\nPercent change = -20%<br \/>\nAnswer: <span style=\"color: red;\"><strong>20% decrease<\/strong><\/span>[\/vc_column_text][vc_column_text el_class=&#8221;headingnew&#8221;]Practice Finding Percent of Change[\/vc_column_text][vc_row_inner el_class=&#8221;boxxborder&#8221;][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 1<\/h5>\n<p><span style=\"color: #16a085;\"><strong>Find the percent of the increase. Round to the nearest whole percent if necessary. <\/strong><\/span><br \/>\n<strong>27 liters to 32 liters.<\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/finding-percent-of-change\"><img loading=\"lazy\" class=\"alignnone wp-image-4554 size-full\" style=\"margin-top: 10px; border: 0px solid black;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/14.png\" alt=\"\" width=\"187\" height=\"43\" \/><\/a>[\/vc_column_text][vc_single_image image=&#8221;2159&#8243; img_size=&#8221;full&#8221; alignment=&#8221;right&#8221; onclick=&#8221;custom_link&#8221; link=&#8221;https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/finding-percent-of-change&#8221;][\/vc_column_inner][\/vc_row_inner][vc_empty_space][vc_row_inner el_class=&#8221;boxxborder&#8221;][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 2<\/h5>\n<p><span style=\"color: #16a085;\"><strong>Find the percent of decrease. Round to the nearest whole percent if necessary.<\/strong><\/span><br \/>\n<strong>89 seconds to 62 seconds.<\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/finding-percent-of-change\"><img loading=\"lazy\" class=\"alignnone wp-image-4556 size-full\" style=\"margin-top: 10px; border: 0px solid black;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/15.png\" alt=\"\" width=\"189\" height=\"40\" \/><\/a>[\/vc_column_text][vc_single_image image=&#8221;2159&#8243; img_size=&#8221;full&#8221; alignment=&#8221;right&#8221; onclick=&#8221;custom_link&#8221; link=&#8221;https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/finding-percent-of-change&#8221;][\/vc_column_inner][\/vc_row_inner][vc_empty_space][vc_row_inner el_class=&#8221;boxxborder&#8221;][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 3<\/h5>\n<p><span style=\"color: #16a085;\"><strong>Find the percent of change and determine if it is an increase or decrease. Round to the nearest whole percent if necessary.<\/strong><\/span><br \/>\n<strong>The minimum wage started at $6.55 in 2000 but was changed to $9.20 in 2015.<\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/finding-percent-of-change\"><img loading=\"lazy\" class=\"alignnone wp-image-4558 size-full\" style=\"margin-top: 10px; border: 0px solid black;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/16.png\" alt=\"\" width=\"257\" height=\"148\" \/><\/a>[\/vc_column_text][vc_single_image image=&#8221;2159&#8243; img_size=&#8221;full&#8221; alignment=&#8221;right&#8221; onclick=&#8221;custom_link&#8221; link=&#8221;https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/finding-percent-of-change&#8221;][\/vc_column_inner][\/vc_row_inner][vc_empty_space][vc_row_inner el_class=&#8221;boxxborder&#8221;][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 4<\/h5>\n<p><span style=\"color: #16a085;\"><strong>Calculate the percent error. Round to the nearest whole percent.<\/strong><\/span><br \/>\n<strong>Wesley guessed they would give out 55 free samples. They actually gave out 82.<\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/finding-percent-of-change\"><img loading=\"lazy\" class=\"alignnone wp-image-4560 size-full\" style=\"margin-top: 10px; border: 0px solid black;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/17.png\" alt=\"\" width=\"114\" height=\"46\" \/><\/a>[\/vc_column_text][vc_single_image image=&#8221;2159&#8243; img_size=&#8221;full&#8221; alignment=&#8221;right&#8221; onclick=&#8221;custom_link&#8221; link=&#8221;https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/finding-percent-of-change&#8221;][\/vc_column_inner][\/vc_row_inner][vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243; css=&#8221;.vc_custom_1633369011398{margin-bottom: 50px !important;}&#8221;][vc_row_inner el_class=&#8221;stickynotee&#8221;][vc_column_inner][vc_single_image image=&#8221;2265&#8243; img_size=&#8221;full&#8221; alignment=&#8221;center&#8221; css_animation=&#8221;fadeIn&#8221; css=&#8221;.vc_custom_1633509989314{border-radius: 10px !important;}&#8221; el_class=&#8221;stickypin&#8221;][vc_column_text]<strong>Percentage Change<\/strong> is the difference coming after subtracting the old value from the new value and then divide by the old value and the final answer will be multiplied by 100 to show it as a percentage.[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=&#8221;boxxborder2&#8243;]<span style=\"color: #ed5600;\"><strong>Pre-requisite Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/calculating-percent\"><span style=\"color: #ed5600;\">Calculating Percent<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/estimating-percent\"><span style=\"color: #ed5600;\">Estimating Percent<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/solving-percent-problems-using-proportions\"><span style=\"color: #ed5600;\">Solving Percent Problems Using Proportions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/solving-percent-problems-using-equations\"><span style=\"color: #ed5600;\">Solving Percent Problems Using Equations<\/span><\/a>[\/vc_column_text][vc_column_text el_class=&#8221;boxxborder2&#8243; css=&#8221;.vc_custom_1635759091489{border-top-width: 6px !important;border-right-width: 6px !important;border-bottom-width: 6px !important;border-left-width: 6px !important;background-position: center !important;background-repeat: no-repeat !important;background-size: contain !important;border-left-color: #333399 !important;border-left-style: solid !important;border-right-color: #333399 !important;border-right-style: solid !important;border-top-color: #333399 !important;border-top-style: solid !important;border-bottom-color: #333399 !important;border-bottom-style: solid !important;border-radius: 35px !important;}&#8221;]<span style=\"color: #333399;\"><strong>Related Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/convert-fractions-and-decimals-to-percents\"><span style=\"color: #333399;\">Convert Fractions and Decimals to Percents<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/compare-percents-fractions-decimals\"><span style=\"color: #333399;\">Compare Percents, Fractions, Decimals<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/finding-percents-of-quantities\"><span style=\"color: #333399;\">Finding Percents of Quantities<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/sales-tax-tips-markups\"><span style=\"color: #333399;\">Sales Tax, Tips &amp; Markups<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/sales-discounts-commissions-fees\"><span style=\"color: #333399;\">Sales, Discounts, Commissions &amp; Fees<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/simple-interest\"><span style=\"color: #333399;\">Simple Interest<\/span><\/a><br \/>\n[\/vc_column_text][vc_row_inner equal_height=&#8221;yes&#8221; el_class=&#8221;btninlinespacing&#8221;][vc_column_inner][vc_btn title=&#8221;Grade 1&#8243; color=&#8221;warning&#8221; link=&#8221;url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F1st-grade%2Fmaths|title:Grade%201%20Math||&#8221;][vc_btn title=&#8221;Grade 2&#8243; color=&#8221;danger&#8221; link=&#8221;url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F2nd-grade%2Fmaths|title:Grade%202%20Math||&#8221;][vc_btn title=&#8221;Grade 3&#8243; color=&#8221;violet&#8221; link=&#8221;url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F3rd-grade%2Fmaths|title:Grade%203%20Math||&#8221;][vc_btn title=&#8221;Grade 4&#8243; 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link=&#8221;url:https%3A%2F%2Fen.oryxlearning.com%2Ftopics%2Fmaths%2Fdecimals|title:Decimals||&#8221;][vc_btn title=&#8221;Fractions&#8221; color=&#8221;warning&#8221; link=&#8221;url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Ffractions|title:Fractions||&#8221;][vc_btn title=&#8221;Multiplication&#8221; color=&#8221;danger&#8221; link=&#8221;url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Fmultiplication|title:Multiplication||&#8221;][vc_btn title=&#8221;Numbers theory&#8221; color=&#8221;violet&#8221; link=&#8221;url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Fnumbers-theory|title:Numbers%20theory||&#8221;][vc_btn title=&#8221;Percent&#8221; color=&#8221;blue&#8221; link=&#8221;url:https%3A%2F%2Fen.oryxlearning.com%2Ftopics%2Fmaths%2Fpercent|title:Percent||&#8221;][vc_btn title=&#8221;Word Problems&#8221; color=&#8221;vista-blue&#8221; link=&#8221;url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Fword-problems|title:Word%20Problems||&#8221;][\/vc_column_inner][\/vc_row_inner][\/vc_column][\/vc_row][\/vc_section]\n","protected":false},"excerpt":{"rendered":"<p>[vc_section full_width=&#8221;stretch_row&#8221; content_placement=&#8221;middle&#8221; css=&#8221;.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}&#8221; el_id=&#8221;bg-sec&#8221;][vc_row full_width=&#8221;stretch_row_content&#8221; el_class=&#8221;faaaq&#8221;][vc_column width=&#8221;1\/12&#8243;][\/vc_column][vc_column width=&#8221;1\/2&#8243;][vc_row_inner content_placement=&#8221;middle&#8221; el_class=&#8221;topheadingg&#8221;][vc_column_inner width=&#8221;1\/6&#8243;][vc_single_image image=&#8221;2283&#8243; img_size=&#8221;full&#8221;][\/vc_column_inner][vc_column_inner width=&#8221;5\/6&#8243;][vc_column_text] Finding Percent of Change [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=&#8221;headingnew&#8221;]Concept[\/vc_column_text][vc_column_text]The percentage change (or) the percentage change of a quantity is the ratio of the difference in the quantity to its initial value multiplied by 100. There [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.0 (Yoast SEO v17.6) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Finding Percent of Change | Oryx Learning<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/oryxlearning.com\/learn\/finding-percent-of-change\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Finding Percent of Change\" \/>\n<meta property=\"og:description\" content=\"[vc_section full_width=&#8221;stretch_row&#8221; content_placement=&#8221;middle&#8221; css=&#8221;.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}&#8221; el_id=&#8221;bg-sec&#8221;][vc_row full_width=&#8221;stretch_row_content&#8221; el_class=&#8221;faaaq&#8221;][vc_column width=&#8221;1\/12&#8243;][\/vc_column][vc_column width=&#8221;1\/2&#8243;][vc_row_inner content_placement=&#8221;middle&#8221; el_class=&#8221;topheadingg&#8221;][vc_column_inner width=&#8221;1\/6&#8243;][vc_single_image image=&#8221;2283&#8243; img_size=&#8221;full&#8221;][\/vc_column_inner][vc_column_inner width=&#8221;5\/6&#8243;][vc_column_text] Finding Percent of Change [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=&#8221;headingnew&#8221;]Concept[\/vc_column_text][vc_column_text]The percentage change (or) the percentage change of a quantity is the ratio of the difference in the quantity to its initial value multiplied by 100. 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