Question

What number is 75 percent of 125?

Answer 1

Hint: First of all understand the meaning of ‘percentage’. Assume that 75 percent of 125 is equal to x. Now, convert 75% into fraction by dividing it with 100 and removing the percentage sign. Take the product of this fraction with 125 and equate it with x to form a linear equation in x. Solve for the value of x to get the answer.

Complete step by step solution:
Here we have been asked to find the number that will be equal to 75 percent of 125. First let us understand the meaning of the term ‘percentage’.
In mathematics, percentage represents a number or ratio as a fraction of 100. For example: if we say Rahul obtained 50% marks in a test then it means if the total marks is 100 then Rahul obtained 50 marks. To change a percentage into fraction we divide the given number by 100 and remove the percentage sign.
Now let us come to the question. We have been asked to determine the number that will be 75% of 125. Let us assume that number as x. First we need to change 75% into its fractional form. So removing the percentage sign and dividing with 100 we have,
$\Rightarrow 75\mathrm{\%}={\displaystyle \frac{75}{100}}$
Now the term ‘of’ means multiplication in mathematics, so we have,
$\Rightarrow {\displaystyle \frac{75}{100}}\times 125=x$
Cancelling the common factors we get,
$$\begin{array}{rl}& \Rightarrow x={\displaystyle \frac{375}{4}}\\ & \therefore x=93.75\end{array}$$
Hence, 93.75 is equal to 75 percent of 125.

Note: Remember different terms used in mathematics like ‘of’ or ‘times’ means product and ‘by’ means division. You must remember the interconversion rules of fractions, decimals and percentages. Note that if we have to convert fraction or decimal into the percentage then we multiply then with 100. Percentage is a dimensionless number because it is a ratio of similar quantities having the same unit multiplied with 100.