Question

If 14% of a certain number is 63, find the number.

Answer 1

Hint: Here, first consider the required number as a variable, then use the formula of percentage, that is Percentage = (Value) / (Total Value) $\times $ 100, substitute the given data and use the mathematical operations to find the value of $x$, which is the required value.

Complete step-by-step answer:
Let the number to be found be $x$.
We have a number 63 which is 14% of the number $x$.
We know,
Percentage = (Value) / (Total Value) $\times $ 100
14 = $\dfrac{63}{x}\times 100$
14$\times x$= 63$\times $100
Divide by 7 throughout the equation, we get
$\dfrac{14\times x}{7}=\dfrac{63\times 100}{7}$
2$\times x$$=$$9\times 100$
Divide by 2 throughout the equation, we get
$\dfrac{2\times x}{2}=\dfrac{9\times 100}{2}$
$x=9\times 50$
$x=450$
Hence, 63 is the 14% of the number 450.

Note: A percentage is a number or a ratio expressed as a fraction of 100. The applications of calculating percentage are calculations of money, marks, population, bank interest rates, etc. Percentages are often used for calculations involving money in daily life. The prices of most quantities increase (or decrease) by a percentage over time. It is denoted by ‘%’ and $x$% can also be written as $\dfrac{x}{100}$. Percentage, a relative value indicating hundredth parts of any quantity. Percentages are useful in practice, because it allows one to compare things that are not out of the same number. For example, exam marks are often percentages, which can compare them even if there are more questions on one exam paper than the other.