Translate and solve following statements

a) What number is 65% of 100?

b) 93 is 75% of what number?

c) What percent of 215 is 86?

a) What number is 65% of 100?

b) 93 is 75% of what number?

c) What percent of 215 is 86?

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 What number is 65% of 100 ?

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

65% of 100 =

$$\begin{gathered} 100\times \frac{65}{100} \\ =65 \end{gathered}$$

We have to find 93 is 75% of what number?

Let the number is x. Then

$$\begin{gathered} \mathrm{x}\times \frac{75}{100}=93 \\ \mathrm{x}=93\times \frac{100}{75} \\ \mathrm{x}=124 \end{gathered}$$

We have to find What percent of 215 is 86?

Let x % of 215 is 86. Then

$$\begin{gathered} 215\times \frac{x}{100}=86 \\ x=\frac{86\times 100}{215} \\ x=40 \end{gathered}$$