Question

What percentage of 64 is 8?

Answer 1

Hint: Start the solution by considering x% of 64 to be 8. Represent this in the mathematical form in the form of an equation. The left-hand side of the equation is given by x divided by 100 multiplied by 64 and the right-hand side of the equation is 8. Solve the equation to get the value of x, which is your answer.

Complete step-by-step answer:
Let us start the solution to the above question by considering x% of 64 is 8.
Now we will represent this mathematically in the form of an equation. The left-hand side of the equation is x divided by 100 and the result is multiplied by 64, while the right-hand side of the equation is 8.
 ${\displaystyle \frac{x}{100}}\times 64=8$
Now, we will take 100 and 64 to the other side of the equation. When you take the denominator to the other side, i.e., 100 it gets multiplied with the numerator of the other side, while the denominator 64 when taken to the other side, it gets multiplied with the denominator. On doing so, we get
 $x={\displaystyle \frac{8\times 100}{64}}$
 $\Rightarrow x={\displaystyle \frac{100}{8}}={\displaystyle \frac{25}{2}}=12.5\mathrm{\%}$
Hence, the answer to the above question is 12.5%, i.e., 12.5% of 64 is 8.

Note: If you face a problem in interpreting the percentage related problems, you can remember a small trick, to convert the statement $x\mathrm{\%}\text{ of y units}$ , replace the % sign ${\displaystyle \frac{1}{100}}$ , ‘of’ by a multiplication sign and the unit of you answer is ‘units’. So, the mathematical representation is $$({\displaystyle \frac{x}{100}}\times y)units$$ .