{"id":13799,"date":"2019-09-03T06:00:57","date_gmt":"2019-09-03T11:00:57","guid":{"rendered":"http:\/\/grockit.com\/blog\/gre\/?p=679"},"modified":"2020-09-11T20:40:56","modified_gmt":"2020-09-11T20:40:56","slug":"gre-quantitative-percents","status":"publish","type":"post","link":"https:\/\/wpapp.kaptest.com\/study\/gre\/gre-quantitative-percents\/","title":{"rendered":"GRE Quantitative: Percents"},"content":{"rendered":"<p>Because of their broad applicability to real life, percent problems are common in standardized tests. We calculate percents every day, from leaving fair tips at restaurants to figuring out which sale will save the most money. While the percent problems on the <a title=\"GRE Score Predictor: What is your GRE Math Score?\" href=\"https:\/\/www.kaptest.com\/blog\/prep\/gre\/gre-score-predictor-what-is-your-gre-math-score\/\">GRE quantitative<\/a> may be a little more complicated than those everyday calculations, they all follow the same basic rules.<br \/>\n&nbsp;<br \/>\n<div  style='padding-bottom:10px; ' class='av-special-heading av-special-heading-h3    avia-builder-el-0  el_before_av_heading  avia-builder-el-first  '><h3 class='av-special-heading-tag '  itemprop=\"headline\"  >Converting Decimals to Percents<\/h3><div class='special-heading-border'><div class='special-heading-inner-border' ><\/div><\/div><\/div><br \/>\nThe word \u2018percent\u2019 literally means hundredth, so 19% really means 19 hundredths, and can be written as either .19 or 19\/100. So, if you want to convert a decimal to a percent, simply move the decimal point two places to the left. While converting .19 to 19 percent may seem intuitive, the two-decimal-point rule will come in handy when you must convert .00031 to a percent (.031%). To convert that percent to a decimal, just move the decimal two points to the left.<br \/>\n<div  style='padding-bottom:10px; ' class='av-special-heading av-special-heading-h3    avia-builder-el-1  el_after_av_heading  el_before_av_table  '><h3 class='av-special-heading-tag '  itemprop=\"headline\"  >Converting Percents to Fractions<\/h3><div class='special-heading-border'><div class='special-heading-inner-border' ><\/div><\/div><\/div><br \/>\nTo convert a percent to a fraction, drop the percent symbol, write the number over 100, and then reduce. Here are a few familiar examples and some not so familiar ones.<br \/>\n<div class='avia-data-table-wrap avia_responsive_table'><table  class='avia-table avia-data-table avia-table-1  avia-builder-el-2  el_after_av_heading  el_before_av_heading  avia_pricing_default '  itemscope=\"itemscope\" itemtype=\"https:\/\/schema.org\/Table\" ><tbody><tr class=''><td class=''>25%<\/td><td class=''>25\/100<\/td><td class=''>1\/4<\/td><\/tr><tr class=''><td class=''>12.5%<\/td><td class=''>12.5\/100<\/td><td class=''>1\/8<\/td><\/tr><tr class=''><td class=''>5%<\/td><td class=''>5\/100<\/td><td class=''>1\/20<\/td><\/tr><tr class=''><td class=''>1%<\/td><td class=''>1\/100<\/td><td class=''>1\/100<\/td><\/tr><tr class=''><td class=''>250%<\/td><td class=''>250\/100<\/td><td class=''>5\/2<\/td><\/tr><\/tbody><\/table><\/div><style type='text\/css'><\/style><br \/>\n<a title=\"Converting Fractions to Decimals: Tips and Tricks\" href=\"https:\/\/www.kaptest.com\/blog\/prep\/gre\/converting-fractions-to-decimals-tips-and-tricks\/\">See a full chart of conversions here &gt;\u00a0<\/a><br \/>\n&nbsp;<br \/>\n<div  style='padding-bottom:10px; ' class='av-special-heading av-special-heading-h3    avia-builder-el-3  el_after_av_table  el_before_av_promobox  '><h3 class='av-special-heading-tag '  itemprop=\"headline\"  >Finding Percents of Numbers<\/h3><div class='special-heading-border'><div class='special-heading-inner-border' ><\/div><\/div><\/div><br \/>\nCommon percent problems involve finding the percent of number and its many variations. Check out these simple examples below:<br \/>\n\t<div   class='av_promobox  avia-button-no   avia-builder-el-4  el_after_av_heading  el_before_av_toggle_container '>\t\t<div class='avia-promocontent'><p>\nWhat is 45% of 200?<br \/>\n90 is 45% of what number?<br \/>\n90 is what percent of 200?<\/p>\n<\/div><\/div><br \/>\nThese kinds of questions should look familiar. The arithmetic involved is rather simple, but if you\u2019re unfamiliar with the technique for solving them, they could pose a challenge. Let\u2019s go over how to solve each one.<br \/>\nIn each case, we want to translate each sentence by replacing \u201cwhat\u201d with x (since \u2018what\u2019 means the unknown variable), \u2018is\u2019 with \u2018=\u2019, \u2018of\u2019 with * (multiplication symbol), and also convert any percents to decimals.<br \/>\n<div  class=\"togglecontainer   toggle_close_all  avia-builder-el-5  el_after_av_promobox  el_before_av_hr \" >\n<section class=\"av_toggle_section\"  itemscope=\"itemscope\" itemtype=\"https:\/\/schema.org\/BlogPosting\" itemprop=\"blogPost\"  >    <div role=\"tablist\" class=\"single_toggle\" data-tags=\"{All} \"  >        <p data-fake-id=\"#toggle-id-1\" class=\"toggler \"  itemprop=\"headline\"    role=\"tab\" tabindex=\"0\" aria-controls=\"toggle-id-1\">Explanations<span class=\"toggle_icon\" >        <span class=\"vert_icon\"><\/span><span class=\"hor_icon\"><\/span><\/span><\/p>        <div id=\"toggle-id-1\" class=\"toggle_wrap \"  >            <div class=\"toggle_content invers-color \"  itemprop=\"text\"   ><p><em>x<\/em> = 45% of 200\u00a0 \u2192 <em>x<\/em> = .45*200 \u2192 90<br \/>\n90 = 45% of <em>x<\/em> \u2192 90 = .45<em>x<\/em> \u2192 90\/.45 = <em>x <\/em>\u2192 200<br \/>\n90 = <em>x<\/em>% of 200 \u2192 90 = (<em>x<\/em>\/100) * 200 \u2192 90 = 2<em>x<\/em> \u2192 45<\/p>\n            <\/div>        <\/div>    <\/div><\/section>\n<\/div><br \/>\n<div  style='height:20px' class='hr hr-invisible   avia-builder-el-6  el_after_av_toggle_container  el_before_av_heading '><span class='hr-inner ' ><span class='hr-inner-style'><\/span><\/span><\/div><br \/>\n<div  style='padding-bottom:10px; ' class='av-special-heading av-special-heading-h3    avia-builder-el-7  el_after_av_hr  el_before_av_tab_container  '><h3 class='av-special-heading-tag '  itemprop=\"headline\"  >Percentage Increase and Decrease<\/h3><div class='special-heading-border'><div class='special-heading-inner-border' ><\/div><\/div><\/div><br \/>\nIn order to find a percentage increase, find the difference between the original number and the increased (or decreased) number and divide that by the original number.<br \/>\n<div  class=\"tabcontainer   top_tab   avia-builder-el-8  el_after_av_heading  el_before_av_heading \" role=\"tablist\">\n\n<section class=\"av_tab_section\"  itemscope=\"itemscope\" itemtype=\"https:\/\/schema.org\/BlogPosting\" itemprop=\"blogPost\" ><div aria-controls=\"tab-id-1\" role=\"tab\" tabindex=\"0\" data-fake-id=\"#tab-id-1\" class=\"tab active_tab\"  itemprop=\"headline\" >Question #1<\/div>\n<div id=\"tab-id-1\" class=\"tab_content active_tab_content\" aria-hidden=\"false\">\n<div class=\"tab_inner_content invers-color\"  itemprop=\"text\" >\n<p>1. A pair of pants was selling for $20 last week, but now is selling for $27 this week. By what percent did the price of the pants increase?<\/p>\n\n<\/div>\n<\/div>\n<\/section>\n\n<section class=\"av_tab_section\"  itemscope=\"itemscope\" itemtype=\"https:\/\/schema.org\/BlogPosting\" itemprop=\"blogPost\" ><div aria-controls=\"tab-id-2\" role=\"tab\" tabindex=\"0\" data-fake-id=\"#tab-id-2\" class=\"tab \"  itemprop=\"headline\" >Explanation<\/div>\n<div id=\"tab-id-2\" class=\"tab_content \" aria-hidden=\"true\">\n<div class=\"tab_inner_content invers-color\"  itemprop=\"text\" >\n<p>27 &#8211; 20 = 7<br \/>\n7 \/ 20 = 35 \/ 100 = 35 percent<\/p>\n\n<\/div>\n<\/div>\n<\/section>\n\n<\/div>\n<br \/>\n<div  style='padding-bottom:10px; ' class='av-special-heading av-special-heading-h3    avia-builder-el-9  el_after_av_tab_container  el_before_av_tab_container  '><h3 class='av-special-heading-tag '  itemprop=\"headline\"  >A Percent Word Problem<\/h3><div class='special-heading-border'><div class='special-heading-inner-border' ><\/div><\/div><\/div><br \/>\nFor the most part, if you are not dealing with quantitative comparisons, you\u2019ll have to solve percent problems in the word problem form. Here\u2019s a common type that you might encounter.<br \/>\n<div  class=\"tabcontainer   top_tab   avia-builder-el-10  el_after_av_heading  el_before_av_sidebar \" role=\"tablist\">\n\n<section class=\"av_tab_section\"  itemscope=\"itemscope\" itemtype=\"https:\/\/schema.org\/BlogPosting\" itemprop=\"blogPost\" ><div aria-controls=\"tab-id-3\" role=\"tab\" tabindex=\"0\" data-fake-id=\"#tab-id-3\" class=\"tab active_tab\"  itemprop=\"headline\" >Question #2<\/div>\n<div id=\"tab-id-3\" class=\"tab_content active_tab_content\" aria-hidden=\"false\">\n<div class=\"tab_inner_content invers-color\"  itemprop=\"text\" >\n<p>1. After John gave 110 baseball cards to Steve and 75 to Bill, he still had 315 left. What percent of his cards did John give away?<br \/>\nA .25%<br \/>\nB. 33 1\/3 %<br \/>\nC. 37%<br \/>\nD. 40%<br \/>\nE. 50%<\/p>\n\n<\/div>\n<\/div>\n<\/section>\n\n<section class=\"av_tab_section\"  itemscope=\"itemscope\" itemtype=\"https:\/\/schema.org\/BlogPosting\" itemprop=\"blogPost\" ><div aria-controls=\"tab-id-4\" role=\"tab\" tabindex=\"0\" data-fake-id=\"#tab-id-4\" class=\"tab \"  itemprop=\"headline\" >Explanation<\/div>\n<div id=\"tab-id-4\" class=\"tab_content \" aria-hidden=\"true\">\n<div class=\"tab_inner_content invers-color\"  itemprop=\"text\" >\n<p>The key here is that John gave away a total of 185 cards and had 315 left. That means he must have started with 185+315 = 500 cards. The question, then, is really asking \u201c185 is what percent of 500?\u201d<br \/>\n185 = (x\/100)*500 \u2192 5x=185 \u2192 x=185\/5\u2192 37<br \/>\nOur answer is C.<\/p>\n\n<\/div>\n<\/div>\n<\/section>\n\n<\/div>\n<br \/>\n<div  class='avia-builder-widget-area clearfix  avia-builder-el-11  el_after_av_tab_container  avia-builder-el-last '><div id=\"text-70\" class=\"widget clearfix widget_text\">\t\t\t<div class=\"textwidget\"><p><span data-sumome-listbuilder-embed-id=\"a78fe19e226d385662749ccaadcdccd7ecdcab651c77e3b874bfcb76a80605a7\"><\/span><\/p>\n<\/div>\n\t\t<\/div><div id=\"text-71\" class=\"widget clearfix widget_text\">\t\t\t<div class=\"textwidget\"><p><span data-sumome-listbuilder-embed-id=\"185e834399a9fdd414ded52f3f51a4735f464b8c612f006f44ffba835a649b4f\"><\/span><\/p>\n<\/div>\n\t\t<\/div><\/div><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Because of their broad applicability to real life, percent problems are common in standardized tests. We calculate percents every day, from leaving fair tips at restaurants to figuring out which sale will save the most money. While the percent problems on the GRE quantitative may be a little more complicated than those everyday calculations, they [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":28957,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[68],"tags":[357],"_links":{"self":[{"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/posts\/13799"}],"collection":[{"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/comments?post=13799"}],"version-history":[{"count":1,"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/posts\/13799\/revisions"}],"predecessor-version":[{"id":34451,"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/posts\/13799\/revisions\/34451"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/media\/28957"}],"wp:attachment":[{"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/media?parent=13799"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/categories?post=13799"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/tags?post=13799"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}