Solve following

a) What number is 45% of 120?

b) 81 is 75% of what number?

c) What percent of 260 is 78?

a) What number is 45% of 120?

b) 81 is 75% of what number?

c) What percent of 260 is 78?

A percentage is anumber or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It represented by the symbol “%”.

We have to calculate 45% of 120.

To find percentage of any number we just multiply the given number with given percentage and divide by 100.Thus

$120\times \frac{45}{100}=\frac{5400}{100}$

45% of 100 = $54$

54 is 45% of 120.

We have to find 81 is 75% of what number?

Let the number is x . Thus

$$\begin{gathered} x\times \frac{75}{100}=81 \\ x=81\times \frac{100}{75} \\ x=108 \end{gathered}$$

Thus 81 is 75% of 108 .

We have to find What percent of 260 is 78? Let x% of 260 is 78.

Then$$\begin{gathered} 260\times \frac{x}{100}=78 \\ x=78\times \frac{100}{260} \\ x=30 \end{gathered}$$

Thus 30 % of 260 is 78.