{"id":203,"date":"2022-04-12T12:30:41","date_gmt":"2022-04-12T12:30:41","guid":{"rendered":"http:\/\/8thclass.deltapublications.in\/?page_id=203"},"modified":"2025-12-04T11:49:34","modified_gmt":"2025-12-04T11:49:34","slug":"j-4-find-what-percent-one-number-is-of-another-word-problems","status":"publish","type":"page","link":"https:\/\/8thclass.deltapublications.in\/index.php\/j-4-find-what-percent-one-number-is-of-another-word-problems\/","title":{"rendered":"J.4 Find what percent one number is of another: word problems"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Find what percent one number is of another: word problems<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-869a5c0b6b78055316c8d0186252dcbd\" style=\"color:#74008b\"><strong>key notes :<\/strong><\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>What is Percent?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Percent (%) means <strong>\u201cper hundred\u201d<\/strong>.<\/li>\n\n\n\n<li>Example: 25% = 25 out of 100. \ud83c\udfaf<\/li>\n<\/ul>\n\n\n\n<p class=\"has-large-font-size\"><strong>The Formula to Find Percent<\/strong> \u2705 <\/p>\n\n\n\n<p class=\"has-text-align-center\"><strong>Percent = Part \/ Whole \u00d7 100<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Part<\/strong> = the number you want to find the percent of<\/li>\n\n\n\n<li><strong>Whole<\/strong> = the total or reference number<\/li>\n\n\n\n<li>Multiply by 100 to get the percent. \ud83d\udcaf<\/li>\n<\/ul>\n\n\n\n<p class=\"has-large-font-size\"><strong>Step-by-Step Method for Word Problems<\/strong> \ud83d\udcdd<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Identify the \u201cPart\u201d<\/strong> (the smaller number).<\/li>\n\n\n\n<li><strong>Identify the \u201cWhole\u201d<\/strong> (the bigger number or total).<\/li>\n\n\n\n<li><strong>Use the formula<\/strong>: (Part \u00f7 Whole) \u00d7 100<\/li>\n\n\n\n<li><strong>Write the answer with %<\/strong>.<\/li>\n<\/ol>\n\n\n\n<p class=\"has-large-font-size\"><strong>Examples<\/strong> \ud83c\udf08<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example 1: Out of 50 students, 15 are girls. What percent are girls? \\frac{15}{50} \\times 100 = 30\\% \\] \ud83d\udc69\u200d\ud83c\udf93<\/li>\n\n\n\n<li>Example 2: A shop sold 60 chocolates out of 200. What percent were sold? \\frac{60}{200} \\times 100 = 30\\% \\] \ud83c\udf6b<\/li>\n<\/ul>\n\n\n\n<p class=\"has-large-font-size\"><strong>Tips &amp; Tricks<\/strong> \ud83d\udca1<\/p>\n\n\n\n<p>Always check which number is the <strong>part<\/strong> and which is the <strong>whole<\/strong>. \ud83d\udd0d<\/p>\n\n\n\n<p>If the answer is a <strong>decimal<\/strong>, round it to <strong>2 decimal places<\/strong> if needed. \u2728<\/p>\n\n\n\n<p>Word problems often use phrases like:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u201cWhat percent of\u2026\u201d<\/li>\n\n\n\n<li>\u201cFind the percentage of\u2026\u201d<\/li>\n\n\n\n<li>\u201cHow much percent\u2026?\u201d \ud83e\uddd0<\/li>\n<\/ul>\n\n\n\n<p><strong>Fun Emoji Memory Aid<\/strong> \ud83c\udfa8<br><strong>P \u00f7 W \u00d7 100 = %<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>P<\/strong> = Part \ud83d\udfe2<\/li>\n\n\n\n<li><strong>W<\/strong> = Whole \ud83d\udd35<\/li>\n\n\n\n<li><strong>\u00d7100<\/strong> = Make it out of 100 \ud83d\udd34<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-background-color has-text-color has-background has-link-color has-large-font-size wp-elements-e8f8ca11cfa1f7094ae87a3b7c288e4e\" style=\"background-color:#0e2212\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-aa64364e35b88f5b89036acc6d55470a\" style=\"color:#b00012\">Gwen has a new beaded necklace. 1 out of the 5 beads on the necklace is blue. What percentage of beads on Gwen&#8217;s necklace are blue?<\/p>\n\n\n\n<p>Write your answer using a percent sign&nbsp;(%).&#8212;&#8212;-<\/p>\n<\/div><\/div>\n\n\n\n<p>Find what percentage 1 is of 5.&nbsp;The part is 1.<\/p>\n\n\n\n<p>The whole is 5.<\/p>\n\n\n\n<p>Let&nbsp;<em>n<\/em>&nbsp;represent the percent.<\/p>\n\n\n\n<p>Write a proportion to solve for&nbsp;<em>n<\/em>.<\/p>\n\n\n\n<p>       1\/5=n\/100  <\/p>\n\n\n\n<p>    1.100=5n<\/p>\n\n\n\n<p>      100=5n<\/p>\n\n\n\n<p>         n=100\/5<\/p>\n\n\n\n<p>          n=20<\/p>\n\n\n\n<p>20% of the beads on Gwen&#8217;s necklace are blue.<\/p>\n\n\n\n<p>You could also find the answer by writing and solving an equation:<\/p>\n\n\n\n<p>part=percentage of whole<\/p>\n\n\n\n<p>             1=n\/100.5<\/p>\n\n\n\n<p>             1=5n\/100<\/p>\n\n\n\n<p>          1.100=5n<\/p>\n\n\n\n<p>         100=5n<\/p>\n\n\n\n<p>           n=100\/5<\/p>\n\n\n\n<p>          n=20<\/p>\n\n\n\n<p>20% of the beads on Gwen&#8217;s necklace are blue.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background-color has-text-color has-background has-link-color has-large-font-size wp-elements-26c953f01b5461c59ee2bb0225d517bb\" style=\"background-color:#290808\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-e856267124ff1d75c1ccefb56f6c1839\" style=\"color:#b00012\">There are 50 seats on a train. 10 of the seats are empty. What percentage of the seats on the train are empty?<\/p>\n\n\n\n<p>Write your answer using a percent sign&nbsp;(%).&#8212;&#8212;&#8211;<\/p>\n<\/div><\/div>\n\n\n\n<p>Find what percentage 10 is of 50.&nbsp;The part is 10.<\/p>\n\n\n\n<p>The whole is 50.<\/p>\n\n\n\n<p>Let&nbsp;<em>n<\/em>&nbsp;represent the percent.<\/p>\n\n\n\n<p>Write a proportion to solve for&nbsp;<em>n<\/em>.<\/p>\n\n\n\n<p>        10\/50=n\/100<\/p>\n\n\n\n<p>      10.100=50n<\/p>\n\n\n\n<p>        1000=50n<\/p>\n\n\n\n<p>              n=1000\/50<\/p>\n\n\n\n<p>              n=20<\/p>\n\n\n\n<p>20% of the seats on the train are empty.<\/p>\n\n\n\n<p>You could also find the answer by writing and solving an equation:<\/p>\n\n\n\n<p>part=percentage of whole<\/p>\n\n\n\n<p>           10=n\/100.50<\/p>\n\n\n\n<p>           10=50n\/100<\/p>\n\n\n\n<p>    10.100=50n<\/p>\n\n\n\n<p>     1000=50n<\/p>\n\n\n\n<p>          n=1000\/50<\/p>\n\n\n\n<p>          n=20<\/p>\n\n\n\n<p>20% of the seats on the train are empty.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background-color has-text-color has-background has-link-color has-large-font-size wp-elements-dd340ff208b5cb97bc8ae87f3dbf9b95\" style=\"background-color:#0f061f\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-d16b439671c18a091bdc4d0d0c43d338\" style=\"color:#b00012\">Lexi has a new beaded necklace. 54 out of the 60 beads on the necklace are blue. What percentage of beads on Lexi&#8217;s necklace are blue?<\/p>\n\n\n\n<p>Write your answer using a percent sign&nbsp;(%).&#8212;&#8212;&#8212;-<\/p>\n<\/div><\/div>\n\n\n\n<p>Find what percentage 54 is of 60.&nbsp;The part is 54.<\/p>\n\n\n\n<p>The whole is 60.<\/p>\n\n\n\n<p>Let&nbsp;<em>n<\/em>&nbsp;represent the percent.<\/p>\n\n\n\n<p>Write a proportion to solve for&nbsp;<em>n<\/em>.<\/p>\n\n\n\n<p>        54\/60=n\/100<\/p>\n\n\n\n<p>      54.100=60n<\/p>\n\n\n\n<p>        5400=60n<\/p>\n\n\n\n<p>              n=5400\/60<\/p>\n\n\n\n<p>              n=90<\/p>\n\n\n\n<p>90% of the beads on Lexi&#8217;s necklace are blue.<\/p>\n\n\n\n<p>You could also find the answer by writing and solving an equation:<\/p>\n\n\n\n<p>part=percentage of whole<\/p>\n\n\n\n<p>           54=n\/100.60<\/p>\n\n\n\n<p>           54=60n\/100<\/p>\n\n\n\n<p>             54=0.6n<\/p>\n\n\n\n<p>        54\/0.6=0.6n\/0.6<\/p>\n\n\n\n<p>            n=90<\/p>\n\n\n\n<p>  90% of the beads on Lexi&#8217;s necklace are blue.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-huge-font-size\" style=\"color:#d90000\"><strong>let&#8217;s practice!<\/strong><\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/63493\/152\/702\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-11.png\" alt=\"\" class=\"wp-image-8452\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-11.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-11-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-11-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/31305\/394\/455\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-11.png\" alt=\"\" class=\"wp-image-8453\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-11.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-11-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-11-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Find what percent one number is of another: word problems key notes : What is Percent? The Formula to Find Percent \u2705 Percent = Part \/ Whole \u00d7 100 Step-by-Step Method for Word Problems \ud83d\udcdd Examples \ud83c\udf08 Tips &amp; Tricks \ud83d\udca1 Always check which number is the part and which is the whole. \ud83d\udd0d If<a class=\"more-link\" href=\"https:\/\/8thclass.deltapublications.in\/index.php\/j-4-find-what-percent-one-number-is-of-another-word-problems\/\">Continue reading <span class=\"screen-reader-text\">&#8220;J.4 Find what percent one number is of another: word problems&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-203","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_hostinger_reach_plugin_has_subscription_block":false,"_hostinger_reach_plugin_is_elementor":false,"_links":{"self":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/203","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=203"}],"version-history":[{"count":12,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/203\/revisions"}],"predecessor-version":[{"id":22426,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/203\/revisions\/22426"}],"wp:attachment":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=203"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}