{"id":162,"date":"2023-07-30T13:43:21","date_gmt":"2023-07-30T17:43:21","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/?post_type=chapter&#038;p=162"},"modified":"2023-11-03T14:34:11","modified_gmt":"2023-11-03T18:34:11","slug":"percentages","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/chapter\/percentages\/","title":{"raw":"Understanding Percentages","rendered":"Understanding Percentages"},"content":{"raw":"Now that we understand fractions and ratios, lets take a look at percentages.\r\n\r\nA percentage is a ratio that can be expressed as a fraction of 100. \"Per\" \"cent\" means \"part of 100\" (<em>cent<\/em> is Latin for 100). If we need to know the percent of a number, we simply divide by 100.\r\n\r\nThe symbol used for percent is %.\r\n\r\nWhat is 40% of 80? Ways to achieve:\r\n<ul>\r\n \t<li>0.40 \u00d7 80 = 32<\/li>\r\n \t<li>40 \u00d7 80 \u00f7 100 = 32<\/li>\r\n<\/ul>\r\nPercent as a fraction:\r\n<ul>\r\n \t<li>10% is equal to [latex]\\tfrac{1}{10}[\/latex] fraction<\/li>\r\n \t<li>20% is equivalent to [latex]\\tfrac{1}{5}[\/latex] fraction<\/li>\r\n \t<li>25% is equivalent to [latex]\\tfrac{1}{4}[\/latex] fraction<\/li>\r\n \t<li>50% is equivalent to [latex]\\tfrac{1}{2}[\/latex] fraction<\/li>\r\n \t<li>75% is equivalent to [latex]\\tfrac{3}{4}[\/latex] fraction<\/li>\r\n \t<li>90% is equivalent to [latex]\\tfrac{9}{10}[\/latex] fraction<\/li>\r\n<\/ul>\r\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Example<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n\r\nA recipe for pancakes uses 3 cups of flour and 2 cups of milk.\r\n\r\nSo the ratio of flour to milk is [latex]3:2[\/latex].\r\n\r\nTo make pancakes for a lot of people, we might need 4 times the quantity, so we multiply the numbers by 4:\r\n\r\n[latex]3\\times4:2\\times4=12:8[\/latex]\r\n\r\nIn other words, 12 cups of flour and 8 cups of milk.\r\n\r\nThe ratio is still the same, so the pancakes should be just as yummy.\r\n\r\n<\/div>\r\n<\/div>\r\n<img class=\"alignnone wp-image-499 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-content\/uploads\/sites\/2022\/2023\/07\/Culinary-Percentages-pun-1.jpg\" alt=\"\" width=\"717\" height=\"622\" \/>\r\n\r\n&nbsp;","rendered":"<p>Now that we understand fractions and ratios, lets take a look at percentages.<\/p>\n<p>A percentage is a ratio that can be expressed as a fraction of 100. &#8220;Per&#8221; &#8220;cent&#8221; means &#8220;part of 100&#8221; (<em>cent<\/em> is Latin for 100). If we need to know the percent of a number, we simply divide by 100.<\/p>\n<p>The symbol used for percent is %.<\/p>\n<p>What is 40% of 80? Ways to achieve:<\/p>\n<ul>\n<li>0.40 \u00d7 80 = 32<\/li>\n<li>40 \u00d7 80 \u00f7 100 = 32<\/li>\n<\/ul>\n<p>Percent as a fraction:<\/p>\n<ul>\n<li>10% is equal to [latex]\\tfrac{1}{10}[\/latex] fraction<\/li>\n<li>20% is equivalent to [latex]\\tfrac{1}{5}[\/latex] fraction<\/li>\n<li>25% is equivalent to [latex]\\tfrac{1}{4}[\/latex] fraction<\/li>\n<li>50% is equivalent to [latex]\\tfrac{1}{2}[\/latex] fraction<\/li>\n<li>75% is equivalent to [latex]\\tfrac{3}{4}[\/latex] fraction<\/li>\n<li>90% is equivalent to [latex]\\tfrac{9}{10}[\/latex] fraction<\/li>\n<\/ul>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Example<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>A recipe for pancakes uses 3 cups of flour and 2 cups of milk.<\/p>\n<p>So the ratio of flour to milk is [latex]3:2[\/latex].<\/p>\n<p>To make pancakes for a lot of people, we might need 4 times the quantity, so we multiply the numbers by 4:<\/p>\n<p>[latex]3\\times4:2\\times4=12:8[\/latex]<\/p>\n<p>In other words, 12 cups of flour and 8 cups of milk.<\/p>\n<p>The ratio is still the same, so the pancakes should be just as yummy.<\/p>\n<\/div>\n<\/div>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-499 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-content\/uploads\/sites\/2022\/2023\/07\/Culinary-Percentages-pun-1.jpg\" alt=\"\" width=\"717\" height=\"622\" srcset=\"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-content\/uploads\/sites\/2022\/2023\/07\/Culinary-Percentages-pun-1.jpg 717w, https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-content\/uploads\/sites\/2022\/2023\/07\/Culinary-Percentages-pun-1-300x260.jpg 300w, https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-content\/uploads\/sites\/2022\/2023\/07\/Culinary-Percentages-pun-1-65x56.jpg 65w, https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-content\/uploads\/sites\/2022\/2023\/07\/Culinary-Percentages-pun-1-225x195.jpg 225w, https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-content\/uploads\/sites\/2022\/2023\/07\/Culinary-Percentages-pun-1-350x304.jpg 350w\" sizes=\"auto, (max-width: 717px) 100vw, 717px\" \/><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"author":2001,"menu_order":3,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-162","chapter","type-chapter","status-publish","hentry"],"part":156,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-json\/pressbooks\/v2\/chapters\/162","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-json\/wp\/v2\/users\/2001"}],"version-history":[{"count":6,"href":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-json\/pressbooks\/v2\/chapters\/162\/revisions"}],"predecessor-version":[{"id":934,"href":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-json\/pressbooks\/v2\/chapters\/162\/revisions\/934"}],"part":[{"href":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-json\/pressbooks\/v2\/parts\/156"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-json\/pressbooks\/v2\/chapters\/162\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-json\/wp\/v2\/media?parent=162"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-json\/pressbooks\/v2\/chapter-type?post=162"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-json\/wp\/v2\/contributor?post=162"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-json\/wp\/v2\/license?post=162"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}