- Finding Percents and Percent Equations
- Home
- Finding a percentage of a whole number
- Finding a percentage of a whole number without a calculator: Basic
- Finding a percentage of a whole number without a calculator: Advanced
- Applying the percent equation: Problem type 1
- Applying the percent equation: Problem type 2
- Finding a percentage of a total amount: Real-world situations
- Finding a percentage of a total amount without a calculator: Sales tax, commission, discount
- Estimating a tip without a calculator
- Writing a ratio as a percentage without a calculator
- Finding the rate of a tax or commission
- Finding the total amount given the percentage of a partial amount
- Finding a percentage of a total amount in a circle graph

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

# Finding a percentage of a whole number

In this lesson, we learn how to find the percentage of a whole number.

Finding percentage of a whole number is basically a multiplication problem.

It is a product of the percentage and the whole number. The percentage is written as a decimal and multiplied with the whole number to give the percentage of the whole number.

**Rules to find the percentage of a whole number**

The percentage of a whole number is written as a product of the percentage and the whole number. For example: 60% of 98 is written as 60% × 98

The percentage then is written as a decimal. To do this, the decimal point is shifted two places to the left and the percent sign is dropped

For example: 60% × 98 = 60.0% × 98 = 0.60 × 98

The multiplication of the decimal and the whole number is carried out and product finally gives the percentage of the whole number

For example: 0.60 × 98 = 58.80

## Formula

x% of y where x is any number and y is a whole number

*x% of y = x% × y = 0.0x × y*

What is 15% of 90?

### Solution

**Step 1:**

15% of 90 = 15% × 90 = 15.0% × 90

**Step 2:**

To convert the percentage to a decimal, the decimal is shifted two places to left.

15.0% × 90 = 0.15 × 90

**Step 3:**

0.15 × 90 = 13.50

So, 15% of 90 = 13.50

What is 25% of 72?

### Solution

**Step 1:**

25% of 72 = 25% × 72 = 25.0% × 72

**Step 2:**

To convert the percentage to a decimal, the decimal is shifted two places to left.

25.0% × 72 = 0.25 × 72

**Step 3:**

0.25 × 72 = 18.00

So, 25% of 72 = 18.00 = 18

What is 150% of 21?

### Solution

**Step 1:**

150% of 21 = 150% × 21 = 150.0% × 21

**Step 2:**

To convert the percentage to a decimal, the decimal is shifted two places to left.

150.0% × 21 = 1.50 × 21

**Step 3:**

1.50 × 21 = 31.50

So, 150% of 21 = 31.50