In this chapter we will learn to calculate percentage of given number with solved examples.

At the end of the chapter, some problems are also given for your practice.

Before understanding the steps to calculate the percentage, let us try to understand what are are trying to do here.

## Calculating percentage of number

While calculating percentage of number, we are trying to calculate the exact piece / part of the given number.**For example;**

Let the given number is 100.

If we are asked to calculate 50% of the number 100, we are basically asked to find the half value of given number.**For example;**

Let the below box represents the 100 value.

Then 50% of the number 100 is shown by below box.

Hence, half of the box represents the 50% value.

Similarly 25% of the box is shown in below figure.

Hence while calculating the percentage, we are finding the value of part of given number.

## Method to calculate the percentage

Suppose the number given is 450 and you have to calculate its 10% value.

To calculate the percentage value, follow the below steps;

(a) **Multiply the percentage and original number.**

\mathtt{\Longrightarrow \ 10\%\times \ 450}

(b)

**Convert the percentage into fraction by dividing the number by 100.**

\mathtt{\Longrightarrow \ \frac{10}{100} \times 450}

(c) **Do the calculation and you will get the solution.**

\mathtt{\Longrightarrow \ \frac{\cancel{10}}{\cancel{100}} \times 45\cancel{0}}\\\ \\ \mathtt{\Longrightarrow \ 45}

Hence, 10% of 450 is 45.

Using the above three steps, you can calculate the percentage of any given values.

Given below are examples for further clarity.

### Examples of percentage calculation of numbers

**Example 01**

Calculate 30% of 600

**Solution**

Follow the below steps;

(a) **Multiply percentage with number.**

\mathtt{\Longrightarrow \ 30\%\times \ 600}

(b) **Convert the percentage into fraction**

\mathtt{\Longrightarrow \ \frac{30}{100} \times 600}

(c) **Do the rest of calculation.**

\mathtt{\Longrightarrow \ \frac{30}{\cancel{100}} \times 6\cancel{00}}\\\ \\ \mathtt{\Longrightarrow \ 180}

Hence, **180 is the solution.**

**Example 02**

Calculate 15% of number 1.

**Solution**

Follow the below steps;

(a) **Multiply the percentage with number.**

\mathtt{\Longrightarrow \ 15\%\times \ 1}

(b) **Convert the percentage into fraction by dividing with 100**.

\mathtt{\Longrightarrow \ \frac{15}{100} \times 1}

(c) **Do the rest of calculation**

\mathtt{\Longrightarrow \ 0.15}

Hence, **0.15 is the solution**.

**Example 03**

Find 20% of 1000

**Solution**

Follow the below steps;

(a)** Multiply the percentage & number**

\mathtt{\Longrightarrow \ 20\%\times \ 1000}

(b) **Convert the percentage into fraction**

\mathtt{\Longrightarrow \ \frac{20}{100} \times 1000}

(c)** Do the calculation**

\mathtt{\Longrightarrow \ \frac{20}{\cancel{100}} \times 10\cancel{00}}\\\ \\ \mathtt{\Longrightarrow \ 200}

Hence, **200 is the solution.**

**Example 04**

Find 75% of 250

**Solution**

Follow the below steps;

(a) **Multiply the percentage with number.**

\mathtt{\Longrightarrow \ 75\%\times \ 250}

(b) **Convert the percentage into fraction**

\mathtt{\Longrightarrow \ 75\%\times \ 250}\\\ \\ \mathtt{\Longrightarrow \ \frac{75}{100} \times 250}

(c) **Do the calculation**

\mathtt{\Longrightarrow \ \frac{75}{10\cancel{0}} \times 25\cancel{0}}\\\ \\ \mathtt{\Longrightarrow \ \frac{1875}{10}}\\\ \\ \mathtt{\Longrightarrow \ 187.5}

Hence, **187.5 is the required solution.**

I hope you understood the above examples. Given below are solved problems for your practice.

## Calculating Percent Value of number – Solved Problems

(01) Calculate the below values;

(a) 1% of 5000

(b) 25% of 60

(c) 40% of 800

(d) 120% of 150

(e) 55% of 200

(f) 15% of 225

(g) 10% of 720

(h) 5% of 63

(i) 11% of 900

(j) 10% of 21

**(a) 1% of 5000**

\mathtt{\Longrightarrow \ 1\%\times \ 5000}\\\ \\ \mathtt{\Longrightarrow \ \frac{1}{100} \times 5000}\\\ \\ \mathtt{\Longrightarrow \ 50}

Hence, **50 is the solution.**

**(b) 25% of 60**

\mathtt{\Longrightarrow \ 25\%\times \ 60}\\\ \\ \mathtt{\Longrightarrow \ \frac{25}{100} \times 60}\\\ \\ \mathtt{\Longrightarrow 15}

Hence, **15 is the solution.**

**(c) 40% of 800**

\mathtt{\Longrightarrow \ 40\%\times \ 800}\\\ \\ \mathtt{\Longrightarrow \ \frac{40}{100} \times 800}\\\ \\ \mathtt{\Longrightarrow 320}

Hence,** 320 is the solution.**

**(d) 120% of 150**

\mathtt{\Longrightarrow \ 120\%\times \ 150}\\\ \\ \mathtt{\Longrightarrow \ \frac{120}{100} \times 150}\\\ \\ \mathtt{\Longrightarrow 180}

Hence, **180 is the solution.**

**(e) 55% of 200**

\mathtt{\Longrightarrow \ 55\%\times \ 200}\\\ \\ \mathtt{\Longrightarrow \ \frac{55}{100} \times 200}\\\ \\ \mathtt{\Longrightarrow 110}

Hence, **110 is the solution.**

**(f) 15% of 225**

\mathtt{\Longrightarrow \ 15\%\times \ 225}\\\ \\ \mathtt{\Longrightarrow \ \frac{15}{100} \times 225}\\\ \\ \mathtt{\Longrightarrow \frac{3375}{100}}\\\ \\ \mathtt{\Longrightarrow \ 33.75}

Hence, **33.75 is the solution**

**(g) 10% of 720**

\mathtt{\Longrightarrow \ 10\%\times \ 720}\\\ \\ \mathtt{\Longrightarrow \ \frac{10}{100} \times 720}\\\ \\ \mathtt{\Longrightarrow 72}

Hence, **72 is the solution**

**(h) 5% of 63**

\mathtt{\Longrightarrow \ 5\%\times \ 63}\\\ \\ \mathtt{\Longrightarrow \ \frac{5}{100} \times 63}\\\ \\ \mathtt{\Longrightarrow \frac{315}{100}}\\\ \\ \mathtt{\Longrightarrow \ 3.15}

Hence,** 3.15 is the solution.**

**(i) 11% of 900**

\mathtt{\Longrightarrow \ 11\%\times \ 900}\\\ \\ \mathtt{\Longrightarrow \ \frac{11}{100} \times 900}\\\ \\ \mathtt{\Longrightarrow 99}

Hence, **99 is the solution.**

**(j) 10% of 21 **

\mathtt{\Longrightarrow \ 10\%\times \ 21}\\\ \\ \mathtt{\Longrightarrow \ \frac{10}{100} \times 21}\\\ \\ \mathtt{\Longrightarrow 2.1}

Hence, **2.1 is the solution.**