Question

What number is $35\%$ of 80?

Answer 1

Hint: Now we know that the percentages are nothing but the ratios with denominator 100. Hence using this we will write 35 percent as a fraction and then multiply the fraction with 80 to find the value of $35\%$ of 80.

Complete step by step solution:
Now first let us understand the concepts of percentage.
Percentage is nothing but a fraction with denominator as 100. We know that a fraction denotes parts of the whole. Now similarly the percentage tells us the number of parts of 100.
Let us understand this by an example. Suppose we have a chocolate and we divide it in 100 equal parts. Let us say we take 10 parts out of 100. Then we can say that we have taken 10 percent of the chocolate.
Percentage is denoted by the symbol $%$.
Now we want to find $35\%$ of 80.
Let us first convert $35\%$ into fractions.
We know that $35\%=\dfrac{35}{100}$ .
Now we will multiply the fraction to 80.
Hence we get,
$= \dfrac{35}{100}\times 80$
Now on simplifying the expression we get,
$\begin{align}
  & = \dfrac{35}{10}\times 8 \\
 & = \dfrac{7}{2}\times 8 \\
 & = 7\times 4 \\
 & = 28 \\
\end{align}$
Hence the value of 35 percent of 80 is nothing but 28.

Note: Now let us check another method to find the percentage. Let us say that 35 percent of 80 is x. Now we know that percentage is nothing but the ratio with denominator 100. Hence the ratio $\dfrac{x}{80}$ will be equal to $\dfrac{35}{100}$. Hence we get, $\dfrac{x}{80}=\dfrac{35}{100}$ . Now we will simplify the given equation and hence find the value of x.