{"id":10872,"date":"2026-11-02T02:02:53","date_gmt":"2026-11-02T02:02:53","guid":{"rendered":"https:\/\/kapdec.com\/help\/?p=10872"},"modified":"2026-11-02T02:02:53","modified_gmt":"2026-11-02T02:02:53","slug":"conversion-finding-percentage","status":"publish","type":"post","link":"https:\/\/kapdec.com\/help\/conversion-finding-percentage\/","title":{"rendered":"Conversion & Finding Percentage"},"content":{"rendered":"
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KAPDEC® | Elite STEM Learning Platform | https:\/\/kapdec.com<\/a><\/p>\n

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Unit<\/strong>: Basic Algebra<\/h2>\n

Chapter<\/strong>: Conversion & Finding Percentage<\/h3>\n

Reference<\/strong>: \u2013 Introduction to Percentage, Converting Fractions to Percentages, Converting Decimals to Percentages, Converting Percentages to Fractions and Decimals, Finding Percentage of a Number, Finding What Percent One Number Is of Another, Real-Life Applications<\/em><\/p>\n

After studying this chapter, you should be able to understand:<\/p>\n

    \n
  • Introduction to Percentage & Its Meaning<\/li>\n
  • Converting Fractions to Percentages<\/li>\n
  • Converting Decimals to Percentages<\/li>\n
  • Converting Percentages to Fractions and Decimals<\/li>\n
  • Finding Percentage of a Number<\/li>\n
  • Finding What Percent One Number Is of Another<\/li>\n
  • Real-Life Applications of Percentage<\/li>\n<\/ul>\n

    What is Percentage?<\/strong><\/p>\n

    \u00a0<\/p>\n

    Let\u2019s try to understand this by taking few live examples-<\/p>\n

      \n
    • We all often go for shopping and see discount offers that always attract us. We have seen \u201c50% off\u201d or similar offers written across many outlets.<\/li>\n<\/ul>\n

      \"\"<\/p>\n

      Source: Kapdec.com<\/p>\n<\/div>\n

      \u00a0<\/p>\n

        \n
      • We also take loans for homes or cars and the banks charge a certain rate of interest like 5.8% p.a. against houses or 7% p.a. against cars. (p.a. : per annum)<\/li>\n<\/ul>\n

        \u00a0<\/p>\n

          \n
        • We look at our cellphones and the screen displays the percentage (%) of battery left.<\/li>\n<\/ul>\n

          If we look at the examples above, the symbol \u201c%\u201d is used frequently.<\/p>\n

          \u00a0<\/p>\n

          So, what does it mean or represent?<\/strong><\/p>\n

          Percent<\/strong> as the name says basically means out of 100 (per cent). It is simply a fraction with 100 as its denominator and is expressed as the numerator part followed by the symbol %.<\/p>\n

          \u00a0<\/p>\n

          Examples-<\/strong><\/p>\n

            \n
          1. 22<\/em>100<\/em>\n
            \"\"<\/p>\n

            Source: Kapdec.com<\/p>\n<\/div>\n

            \u00a0= 22%<\/li>\n<\/ol>\n

            where 22% means 22 out of 100.<\/p>\n

            \u00a0<\/p>\n

            \u00a0<\/p>\n

              \n
            1. 85<\/em>100<\/em>\n
              \"\"<\/p>\n

              Source: Kapdec.com<\/p>\n<\/div>\n

              \u00a0= 85%<\/li>\n<\/ol>\n

              where 85% means 85 out of 100.<\/p>\n

              \u00a0<\/p>\n

              When we express a number in per cent form, it is called percentage<\/strong>.<\/p>\n

              \u00a0<\/p>\n

              Examples-<\/strong><\/p>\n

                \n
              1. 63<\/em>100<\/em>\n
                \"\"<\/p>\n

                Source: Kapdec.com<\/p>\n<\/div>\n

                \u00a0= 63%<\/li>\n<\/ol>\n

                \u00a0<\/p>\n

                  \n
                1. 29<\/em>100<\/em>\n
                  \"\"<\/p>\n

                  Source: Kapdec.com<\/p>\n<\/div>\n

                  \u00a0= 29%<\/li>\n<\/ol>\n

                  \u00a0<\/p>\n

                    \n
                  1. 15% = 15<\/em>100<\/em>\n
                    \"\"<\/p>\n

                    Source: Kapdec.com<\/p>\n<\/div>\n<\/li>\n<\/ol>\n

                    \u00a0<\/p>\n

                      \n
                    1. 52% = 52<\/em>100<\/em>\n
                      \"\"<\/p>\n

                      Source: Kapdec.com<\/p>\n<\/div>\n<\/li>\n<\/ol>\n

                      \u00a0<\/p>\n

                      \u00a0<\/p>\n

                      Conversions<\/strong><\/p>\n

                      \u00a0<\/p>\n

                        \n
                      • Conversion of Fractions into Percentage<\/strong><\/li>\n<\/ul>\n

                        \u00a0<\/p>\n

                          \n
                        • First, we convert the fraction into an equivalent fraction with denominator as 100.<\/li>\n<\/ul>\n

                          \u00a0<\/p>\n

                            \n
                          • Then, we write the numerator of the new fraction followed by \u2018%\u2019 symbol to express it in percentage terms.<\/li>\n<\/ul>\n

                            \u00a0<\/p>\n

                            Examples-<\/strong><\/p>\n

                            \u00a0<\/p>\n

                              \n
                            1. Convert 5<\/em>10<\/em>\n
                              \"\"<\/p>\n

                              Source: Kapdec.com<\/p>\n<\/div>\n

                              \u00a0into percentage.<\/li>\n<\/ol>\n

                              \u00a0<\/p>\n

                              5<\/em>10<\/em>=<\/em>5 <\/em>\u00d7<\/em>10<\/em>10 <\/em>\u00d7<\/em>10<\/em> = <\/em>50<\/em>100<\/em><\/p>\n

                              \"\"<\/p>\n

                              Source: Kapdec.com<\/p>\n<\/div>\n

                              \u00a0 = 50%<\/p>\n

                              \u00a0<\/p>\n

                                \n
                              1. Convert 12<\/em>5<\/em>\n
                                \"\"<\/p>\n

                                Source: Kapdec.com<\/p>\n<\/div>\n

                                \u00a0into percentage.<\/li>\n<\/ol>\n

                                \u00a0<\/p>\n

                                1<\/em>2<\/em>5<\/em>=<\/em>7<\/em>5<\/em> =<\/em>7 <\/em>\u00d7<\/em>20<\/em>5 <\/em>\u00d7<\/em>20<\/em> = <\/em>140<\/em>100<\/em><\/p>\n

                                \"\"<\/p>\n

                                Source: Kapdec.com<\/p>\n<\/div>\n

                                \u00a0 = 140%<\/p>\n

                                \u00a0<\/p>\n

                                  \n
                                1. Convert 13<\/em>\n
                                  \"\"<\/p>\n

                                  Source: Kapdec.com<\/p>\n<\/div>\n

                                  \u00a0into percentage.<\/li>\n<\/ol>\n

                                  \u00a0<\/p>\n

                                  13 = 13 <\/em>\u00d7<\/em>100<\/em>1 <\/em>\u00d7<\/em> 100<\/em><\/p>\n

                                  \"\"<\/p>\n

                                  Source: Kapdec.com<\/p>\n<\/div>\n

                                  \u00a0 = 1300<\/em>100<\/em><\/p>\n

                                  \"\"<\/p>\n

                                  Source: Kapdec.com<\/p>\n<\/div>\n

                                  \u00a0 = 1300%\u00a0 (Every whole number is also a fraction with denominator as 1)<\/p>\n

                                  Or<\/p>\n

                                    \n
                                  • We multiply the fraction by 100% (As 100% = 100<\/em>100<\/em>\n
                                    \"\"<\/p>\n

                                    Source: Kapdec.com<\/p>\n<\/div>\n

                                    \u00a0= 1. So, the value of the fraction does not change)<\/li>\n<\/ul>\n

                                    \u00a0<\/p>\n

                                      \n
                                    • We then reduce the \u2018fraction multiplied by 100\u2019 into lowest terms and write the final number followed by a \u2018%\u2019 symbol.<\/li>\n<\/ul>\n

                                      \u00a0<\/p>\n

                                      Examples-<\/strong><\/p>\n

                                        \n
                                      1. Convert 9<\/em>10<\/em>\n
                                        \"\"<\/p>\n

                                        Source: Kapdec.com<\/p>\n<\/div>\n

                                        \u00a0into percentage.<\/li>\n<\/ol>\n

                                        9<\/em>10<\/em>=<\/em>9 <\/em>10<\/em>\u00d7<\/em>100% = <\/em>900<\/em>10<\/em>%= 90%<\/em><\/p>\n

                                        \"\"<\/p>\n

                                        Source: Kapdec.com<\/p>\n<\/div>\n

                                        \u00a0<\/p>\n

                                          \n
                                        1. Convert 62<\/em>5<\/em>\n
                                          \"\"<\/p>\n

                                          Source: Kapdec.com<\/p>\n<\/div>\n

                                          \u00a0into percentage.<\/li>\n<\/ol>\n

                                          \u00a0<\/p>\n

                                          6<\/em>2<\/em>5<\/em>=<\/em>32<\/em>5<\/em>= <\/em>32<\/em>5<\/em> <\/em>\u00d7<\/em>100%<\/em> =<\/em>3200<\/em>5<\/em>% =<\/em><\/p>\n

                                          \"\"<\/p>\n

                                          Source: Kapdec.com<\/p>\n<\/div>\n

                                          \u00a0640%<\/p>\n

                                          \u00a0<\/p>\n

                                            \n
                                          1. Convert 13<\/em>\n
                                            \"\"<\/p>\n

                                            Source: Kapdec.com<\/p>\n<\/div>\n

                                            \u00a0into percentage.<\/li>\n

                                          2. \u00a0<\/li>\n<\/ol>\n

                                            13 = 13 \u00d7 100% = 1300%<\/p>\n

                                            \u00a0<\/p>\n

                                            \u00a0<\/p>\n

                                              \n
                                            • Conversion of Decimals into Percentage<\/strong><\/li>\n<\/ul>\n

                                              \u00a0<\/p>\n

                                                \n
                                              • We can convert any decimal into percentage simply by multiplying it by 100%.<\/li>\n<\/ul>\n

                                                \u00a0<\/p>\n

                                                  \n
                                                • Here, we first multiply the decimal by 100 i.e. the decimal point is shifted two places towards right and then the new number is written followed by % symbol.<\/li>\n<\/ul>\n

                                                  Examples-<\/strong><\/p>\n

                                                  \u00a0<\/p>\n

                                                    \n
                                                  1. Convert 0.25 into a percentage.<\/li>\n<\/ol>\n

                                                    0.25 = 0.25 \u00d7 100% = 25%<\/p>\n

                                                    \u00a0<\/p>\n

                                                      \n
                                                    1. Convert 6.82 into a percentage.<\/li>\n<\/ol>\n

                                                      6.82 = 6.82 \u00d7 100% = 682%<\/p>\n

                                                      \u00a0<\/p>\n

                                                        \n
                                                      1. Convert 3.451 into a percentage.<\/li>\n<\/ol>\n

                                                        3.451 = 3.451 \u00d7 100% = 345.1%<\/p>\n

                                                        \u00a0<\/p>\n

                                                        \u00a0<\/p>\n

                                                        \u00a0<\/p>\n

                                                          \n
                                                        • Conversion of Percentage into Fractions<\/strong><\/li>\n<\/ul>\n

                                                          \u00a0<\/p>\n

                                                            \n
                                                          • We divide the fraction by 100 and remove the % symbol so the value remains the same (Since % = out of 100 = 100<\/em>\n
                                                            \"\"<\/p>\n

                                                            Source: Kapdec.com<\/p>\n<\/div>\n

                                                            )<\/li>\n<\/ul>\n

                                                            \u00a0<\/p>\n

                                                              \n
                                                            • We then reduce this new fraction into lowest terms.<\/li>\n<\/ul>\n

                                                              \u00a0<\/p>\n

                                                              Examples-<\/strong><\/p>\n

                                                              \u00a0<\/p>\n

                                                                \n
                                                              1. Express 20% as a fraction.<\/li>\n<\/ol>\n

                                                                20% = 20<\/em>100<\/em>=<\/em>20 <\/em>\u00f7<\/em> 20<\/em>100 <\/em>\u00f7<\/em> 20<\/em> = <\/em>1<\/em>5<\/em><\/p>\n

                                                                \"\"<\/p>\n

                                                                Source: Kapdec.com<\/p>\n<\/div>\n

                                                                \u00a0 (As GCF of 20 and 100 is 20)<\/p>\n

                                                                \u00a0<\/p>\n

                                                                \u00a0<\/p>\n

                                                                  \n
                                                                1. Express 64% as a fraction.<\/li>\n<\/ol>\n

                                                                  64% = 64<\/em>100<\/em>=<\/em>64 <\/em>\u00f7<\/em> 4<\/em>100 <\/em>\u00f7<\/em> 4<\/em> = <\/em>16<\/em>25<\/em><\/p>\n

                                                                  \"\"<\/p>\n

                                                                  Source: Kapdec.com<\/p>\n<\/div>\n

                                                                  \u00a0 (As GCF of 64 and 100 is 4)<\/p>\n

                                                                  \u00a0<\/p>\n

                                                                  \u00a0<\/p>\n

                                                                    \n
                                                                  1. Express 2<\/em>3<\/em>4<\/em>\n
                                                                    \"\"<\/p>\n

                                                                    Source: Kapdec.com<\/p>\n<\/div>\n

                                                                    % as a fraction.<\/li>\n<\/ol>\n

                                                                    2<\/em>3<\/em>4<\/em>%=<\/em>11<\/em>4<\/em>%<\/em>=<\/em>11<\/em>4<\/em><\/p>\n

                                                                    \"\"<\/p>\n

                                                                    Source: Kapdec.com<\/p>\n<\/div>\n

                                                                    \u00a0\u00d7 1<\/em>100<\/em>= <\/em>11<\/em>400<\/em><\/p>\n

                                                                    \"\"<\/p>\n

                                                                    Source: Kapdec.com<\/p>\n<\/div>\n

                                                                    \u00a0 (As GCF of 11 and 400 is 1)<\/p>\n

                                                                    \u00a0<\/p>\n

                                                                    \u00a0<\/p>\n

                                                                      \n
                                                                    • Conversion of Percentage into Decimals<\/strong><\/li>\n<\/ul>\n

                                                                      \u00a0<\/p>\n

                                                                        \n
                                                                      • We can convert any percentage into decimal simply by dividing it by 100 and removing the % symbol<\/li>\n<\/ul>\n

                                                                        \u00a0<\/p>\n

                                                                          \n
                                                                        • Here, we first divide the number by 100 i.e. the decimal point is shifted two places towards left and then the new number is written without % symbol.<\/li>\n<\/ul>\n

                                                                          \u00a0<\/p>\n

                                                                          Examples-<\/strong><\/p>\n

                                                                          \u00a0<\/p>\n

                                                                            \n
                                                                          1. Convert 15% into a decimal.<\/li>\n<\/ol>\n

                                                                            15% = 15<\/em>100<\/em><\/p>\n

                                                                            \"\"<\/p>\n

                                                                            Source: Kapdec.com<\/p>\n<\/div>\n

                                                                            \u00a0= 0.15<\/p>\n

                                                                            \u00a0<\/p>\n

                                                                            \u00a0<\/p>\n

                                                                              \n
                                                                            1. Convert 22.5% into a decimal.<\/li>\n<\/ol>\n

                                                                              22.5% = 22.5<\/em>100<\/em><\/p>\n

                                                                              \"\"<\/p>\n

                                                                              Source: Kapdec.com<\/p>\n<\/div>\n

                                                                              \u00a0= 0.225<\/p>\n

                                                                              \u00a0<\/p>\n

                                                                              \u00a0<\/p>\n

                                                                                \n
                                                                              1. Convert 22.5% into a decimal.<\/li>\n<\/ol>\n

                                                                                155% = 155<\/em>100<\/em><\/p>\n

                                                                                \"\"<\/p>\n

                                                                                Source: Kapdec.com<\/p>\n<\/div>\n

                                                                                \u00a0= 1.55<\/p>\n

                                                                                <\/p>\n