{"id":213,"date":"2022-04-12T12:32:26","date_gmt":"2022-04-12T12:32:26","guid":{"rendered":"http:\/\/8thclass.deltapublications.in\/?page_id=213"},"modified":"2025-12-04T11:52:35","modified_gmt":"2025-12-04T11:52:35","slug":"j-9-solve-percent-equations","status":"publish","type":"page","link":"https:\/\/8thclass.deltapublications.in\/index.php\/j-9-solve-percent-equations\/","title":{"rendered":"J.9 Solve percent equations"},"content":{"rendered":"\n

Solve percent equations<\/strong><\/h2>\n\n\n\n

key notes:<\/strong><\/p>\n\n\n\n

\ud83d\udccc What is a Percent?<\/strong><\/p>\n\n\n\n

Percent means \u201cper 100\u201d \u2705<\/p>\n\n\n\n

Example: 25% = 25 out of 100 = 25\/100 = 0.25<\/p>\n\n\n\n

\ud83d\udccc Percent Equation Formula<\/strong><\/p>\n\n\n\n

Part = Percent \u00d7 Whole<\/strong><\/p>\n\n\n\n

Symbols: P = percent \/ 100\u00d7W<\/p>\n\n\n\n

Example: 20% of 50 \u2192 20 \/ 100 \u00d7 50 = 10 \ud83c\udfaf<\/p>\n\n\n\n

\ud83d\udccc Steps to Solve Percent Equations<\/strong><\/p>\n\n\n\n

Convert the percent to a decimal<\/strong> (divide by 100) \ud83d\udd22<\/p>\n\n\n\n

Write the equation<\/strong> using Part=Decimal\u00d7Whole<\/p>\n\n\n\n

Solve for the unknown \ud83d\udca1<\/p>\n\n\n\n

\ud83d\udccc Types of Problems<\/strong><\/p>\n\n\n\n

Find the Part:<\/strong><\/p>\n\n\n\n

30% of 200 = ? \u2192 0.3 \u00d7 200 = 60 \u2705<\/p>\n\n\n\n

Find the Whole:<\/strong><\/p>\n\n\n\n

60 is 20% of what number? \u2192 60=0.2\u00d7W \u2192 W=300 \ud83c\udfaf<\/p>\n\n\n\n

Find the Percent:<\/strong><\/p>\n\n\n\n

50 is what percent of 200? \u2192 percent = 50\/200 \u00d7 100 = 25% \ud83d\udcca<\/p>\n\n\n\n

\ud83d\udccc Tips & Tricks<\/strong><\/p>\n\n\n\n

Always convert % to decimal<\/strong> before calculating \ud83d\udd04<\/p>\n\n\n\n

Check your answer by reverse calculation<\/strong> \ud83d\udd0d<\/p>\n\n\n\n

Use multiplication or division<\/strong> depending on what you are finding \u2716\ufe0f\u2797<\/p>\n\n\n\n

\ud83d\udca1 Quick Reminder:<\/strong><\/p>\n\n\n\n

Percent problems are all about fractions of 100<\/strong> \ud83c\udf1f<\/p>\n\n\n\n

Practice makes it easy and fast<\/strong> \ud83c\udfc3\u200d\u2642\ufe0f\ud83d\udca8<\/p>\n\n\n\n

Learn with an example<\/strong><\/p>\n\n\n\n

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\ud83d\ude00 What is 10% of 50?——<\/strong><\/p>\n<\/div><\/div>\n\n\n\n

The whole is 50.<\/p>\n\n\n\n

The percent is 10%.<\/p>\n\n\n\n

Let n<\/em> represent the part.<\/p>\n\n\n\n

Write a proportion to solve for n<\/em>.<\/p>\n\n\n\n

n\/50=10\/100<\/p>\n\n\n\n

100n=50 . 10<\/p>\n\n\n\n

100n=500<\/p>\n\n\n\n

n=500\/100<\/p>\n\n\n\n

n=5<\/p>\n\n\n\n

10% of 50 is 5<\/strong>.<\/p>\n\n\n\n

You could also find the answer by writing and solving an equation:<\/p>\n\n\n\n

part=percent of whole<\/p>\n\n\n\n

n=10% . 50<\/p>\n\n\n\n

n=0.1 . 50<\/p>\n\n\n\n

n=5<\/p>\n\n\n\n

10% of 50 is 5<\/strong>.<\/p>\n<\/div><\/div>\n\n\n\n

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\n

\ud83d\ude00 Fill in the missing number.<\/p>\n\n\n\n

——–% of 30 = 21.<\/p>\n<\/div><\/div>\n\n\n\n

The part is 21.<\/p>\n\n\n\n

The whole is 30.<\/p>\n\n\n\n

Let n<\/em> represent the percent.<\/p>\n\n\n\n

Write a proportion to solve for n<\/em>.<\/p>\n\n\n\n

21\/30=n\/100<\/p>\n\n\n\n

21 . 100=n .30<\/p>\n\n\n\n

2100=30n<\/p>\n\n\n\n

n=2100\/30<\/p>\n\n\n\n

n=70<\/p>\n\n\n\n

70%<\/strong> of 30 = 21<\/p>\n\n\n\n

You could also find the answer by writing and solving an equation:<\/p>\n\n\n\n

part=percent of whole<\/p>\n\n\n\n

21=n\/100 . 30<\/p>\n\n\n\n

21=30n\/100<\/p>\n\n\n\n

21 . 100=30n<\/p>\n\n\n\n

2100=30n<\/p>\n\n\n\n

n=2100\/30<\/p>\n\n\n\n

n=70<\/p>\n\n\n\n

70%<\/strong> of 30 = 21<\/p>\n<\/div><\/div>\n\n\n\n

\n
\n

\ud83d\ude00 Fill in the missing number.<\/p>\n\n\n\n

10% of —— = 7.<\/p>\n<\/div><\/div>\n\n\n\n

The part is 7.<\/p>\n\n\n\n

The percent is 10%.<\/p>\n\n\n\n

Let n<\/em> represent the whole.<\/p>\n\n\n\n

Write a proportion to solve for n<\/em>.<\/p>\n\n\n\n

7\/n=10\/100<\/p>\n\n\n\n

7 . 100=10 . n<\/p>\n\n\n\n

700=10n<\/p>\n\n\n\n

n=700\/10<\/p>\n\n\n\n

n=70<\/p>\n\n\n\n

10% of 70<\/strong> = 7<\/p>\n\n\n\n

You could also find the answer by writing and solving an equation:<\/p>\n\n\n\n

part=percent of whole<\/p>\n\n\n\n

7=10% . n<\/p>\n\n\n\n

7=0.1 . n<\/p>\n\n\n\n

7=0.1n<\/p>\n\n\n\n

7\/0.1=0.1n\/0.1<\/p>\n\n\n\n

n=70<\/p>\n\n\n\n

10% of 70<\/strong> = 7<\/p>\n<\/div><\/div>\n\n\n\n

let’s practice!<\/strong><\/p>\n\n\n\n

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Solve percent equations key notes: \ud83d\udccc What is a Percent? Percent means \u201cper 100\u201d \u2705 Example: 25% = 25 out of 100 = 25\/100 = 0.25 \ud83d\udccc Percent Equation Formula Part = Percent \u00d7 Whole Symbols: P = percent \/ 100\u00d7W Example: 20% of 50 \u2192 20 \/ 100 \u00d7 50 = 10 \ud83c\udfaf \ud83d\udcccContinue reading “J.9 Solve percent equations”<\/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-213","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\/213","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=213"}],"version-history":[{"count":14,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/213\/revisions"}],"predecessor-version":[{"id":22434,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/213\/revisions\/22434"}],"wp:attachment":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=213"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}