Question

Write the following as percent: $\dfrac{{14}}{{625}}$.

Answer 1

Hint: Check whether the value to be expressed in the ratio is given in a ratio or not. If not, convert it into a ratio. A fraction can be converted into a percent by multiply the fraction with 100 and is given by $\dfrac{a}{b} \times 100 = \dfrac{{a \times 100}}{b}\% $

Complete step-by-step answer:
Given: - The given ratio is $\dfrac{{14}}{{625}}$.
The percent is a Latin word meaning “per centum” or “by a hundred”.
The percent is also known as a percentage.
It is a number or ratio expressed as a fraction of 100.
It is denoted by the $\% $ sign.
The percent value is computed by multiplying the numeric value of the ratio by 100.
If the number is not given in ratio, we first need to compute the ratio and then find the percent value by multiplying the ratio by 100.
The number $\dfrac{{14}}{{625}}$ is already given in ratio.
Therefore, we only need to multiply the given ratio by a hundred in order to obtain the percentage.
The percent value will be given by,
$ \Rightarrow \dfrac{{14}}{{625}} \times 100$
Multiply the terms in the numerator,
$ \Rightarrow \dfrac{{1400}}{{625}}$
Cancel out the terms,
$\therefore 2.24\% $

Hence the percent of $\dfrac{{14}}{{625}}$ is 2.24%.

Note: The ratio of the number can be calculated by dividing the given value by the total value. The percentage can be used as a method to compare two ratios or fractions. It is also used in profit loss arithmetic problems. The increment or decrement of a value is often expressed in percentage.
The word percent means “for every 100” or “out of 100.” The (%) symbol is a quick way to write a fraction with a denominator of 100. One must do all the calculations in this question very carefully.