download Mastguru Android App
  • Concept of percentage or Percentage formula


    By a certain percent, we mean that many hundredths.

    Thus, x percent means x hundredths, written as x%.

    To express x% as a fraction: We have, x%

    \begin{aligned} \frac{x}{100} \\
    Thus, & 10\% = \frac{10}{100} = \frac{1}{10} \\
    30\% = \frac{30}{100} = \frac{3}{10} \\
    \end{aligned}

    In simple terms we can conclude that percentage symbol "%" means 1/100

    In case we are having a fraction and we have to calculate its percentage then we will multiply it by 100.
    that is,
    \begin{aligned}
    \frac{a}{b} = \left(\frac{a}{b}\times100\right)\%
    \end{aligned}

    So if we get a question like 1 is what percent of 4, then we will solve it as,

    \begin{aligned}
    \frac{1}{4}*100 = 25\% \\
    Similarly & \frac{3}{5}*100 = 60\% \\
    \end{aligned}