**To find the percent of a given number:** Students can know how to find the percent of a given number from this page. We know that a percentage is a fraction with numerator as 1 and denominator as 100 which means 1/100. The percentage is obtained when a particular number is multiplied by a percent. Usually, the percentage is a portion of the number. To understand the concept in depth we suggest you go through the below examples and learn the problems.

## What is Percentage?

The word percent defines one part of a hundred. It is the ratio as a fraction of 100. It is denoted by %. The percentage is applied in different fields like to calculate profits, interest rates, tax, etc.

Also, See: Worksheet on Calculating Profit or Loss

## How to Calculate Percentage of a Given Number?

In order to find the percentage of a given number, you have to follow the below steps.

1. Obtain the number from the given equation, say x.

2. Let the percent be p%.

3. Now change the equation in the form of P% of x

4. Now write them in the form of proportion as p/100 = ?/x

5. Now apply the cross multiplication method to find the unknown value.

### Examples of finding Percentage of a Given Quantity

The following examples will help students to find the percentage of the given number.

**Example 1. **

Find 43% of 280?

**Solution:**

Given,

We know that R% of m is equal to R/100 × m

Formula = R/100 × m

R = 43%

m = 280

43/100 × 280 = 120.4%

**Example 2. **

Find 80% of 2430?

**Solution:**

Given,

We know that R% of m is equal to R/100 × m

Formula = R/100 × m

R = 80%

m = 2439

80/100 × 2430 = 1944%

**Example 3. **

Find 10% of 100?

**Solution:**

Given,

We know that R% of m is equal to R/100 × m

Formula = R/100 × m

R = 10%

m = 100

10/100 × 100 = 10%

**Example 4. **

Find 32% of 120?

**Solution:**

Given,

We know that R% of m is equal to R/100 × m

Formula = R/100 × m

R = 32%

m = 120

32/100 × 120 = 38.4%

**Example 5. **

Find 12% of 316?

**Solution:**

Given,

We know that R% of m is equal to R/100 × m

Formula = R/100 × m

R = 12%

m = 316

12/100 × 316 = 47.92%

**Example 6. **

What is 50% of 1 kg in grams?

**Solution:**

we know that

1 kg = 1000 grams

50% of 1000 grams

50/100 × 1000

50 × 10

500 grams

**Example 7. **

What is 18% of 400?

**Solution:**

We know that R% of m is equal to R/100 × m

Formula = R/100 × m

18/100 × 400

18 × 4 = 72

**Example 8.**

What is 75% of 100

**Solution:**

We know that R% of m is equal to R/100 × m

Formula = R/100 × m

75/100 × 100 = 75

**Example 9.**

What is 25% of 200?

**Solution:**

We know that R% of m is equal to R/100 × m

Formula = R/100 × m

25/100 × 200 = 50

**Example10.**

What is 6% of 500?

**Solution:**

We know that R% of m is equal to R/100 × m

Formula = R/100 × m

6/100 × 500 = 30

### FAQs on How to Find the Percent of a Number

**1. What is the formula to find the percentage of a given number?**

To find the percentage of a number when it is in decimal form, you just need to multiply the decimal number by 100.

**2. What is 95% of 275?**

95% = 95/100 = 0.95

275 × 0.95 = 261.25

**3. What is 75% of 200 using proportion method?**

75/100 = x/200

Now apply cross multiplication

100x = 75 × 200

x = 75 × 2

x = 150