Free Percentage Calculator Tool Online

A Percentage Calculator is a simple online tool that is used to calculate percentages, percentages of numbers, percentage increases and decreases, and to compare values. This tool saves you time by doing the calculations for you.

Percentages are an expression of a value in relation to 100. This is often shown using the % symbol. An example would be 25% which means 25 per 100. Percentages are used widely within education, shopping, finance, business, statistics and personal budgets.

Using a Percentage Calculator you can calculate your exam scores, discounts, profit margins, salary increases, tax, price changes and how much one number is as a percentage of another.

Whether you\'re a student wanting to find out your exam scores, a shopper wanting to work out a discount, or simply a business owner looking at your sales performance this tool will help you calculate percentages quickly and easily.

How to Use a Percentage Calculator

This tool is easy to use. Simply follow the steps below.

Choose your calculation type. This could be to calculate the percentage of a number, how much one number is as a percentage of another, or how much of an increase or decrease there is.

Enter the values. Enter the percentage, original value, final value or any other numbers asked for.

Check your values are correct. Ensure the values are in the same unit.

Click ‘Calculate’. This will give you the result.

See your answer. This will show you the percentage, amount or percentage change.

For example, if you wanted to work out what 20% of 500 was you would enter 20 into the percentage box and 500 into the number box. This would give you the answer 100.

This tool can be used for many purposes including discounts, exam percentages, price changes and business growth rates.

Percentage Calculator Formula

Depending on what you are trying to calculate the formula will differ.

Calculating a percentage of a number

To find what a certain percentage of a number is use the following formula.

Result = (Percentage / 100) x Number

For example, 15% of 200.

(15/100) x 200 = 30

Finding out how much one number is as a percentage of another

To find out how much one number is as a percentage of another use the following formula.

Percentage = (Part / Whole) x 100

For example, if you scored 75 out of 100 your percentage would be 75%.

Calculating percentage increase

This formula can be used to see how much a number has increased.

Percentage Increase = ((New Value – Original Value)/Original Value) x 100

Calculating percentage decrease

This formula can be used to see how much something has decreased as a percentage.

Percentage Decrease = ((Original Value – New Value)/Original Value) x 100

These formulae can be used for many percentage calculations encountered in day to day life, education, shopping and business.

Examples

Let’s look at some examples of how to use a Percentage Calculator.

Example 1 – Finding 20% of 500

If we wanted to find 20% of 500 we would use the following formula.

Result = (20/100) x 500

Result = 100

Therefore 20% of 500 is 100.

Example 2 – Calculating exam percentage

If a student scored 420 out of 500 we would use the formula:

Percentage = (420/500) x 100

Percentage = 84%

The student scored 84% in their exam.

Example 3 – Calculating percentage increase

If someone’s salary increases from ₹30,000 to ₹36,000 per month.

The increase in salary is ₹6000.

We can now calculate the percentage increase.

(6000/30000) x 100 = 20%.

Their salary has increased by 20%.

Example 4 – Calculating a discount while shopping

If something costs ₹2000 and there is a 15% discount.

Discount = (15/100) x 2000 = ₹300

Final Price = ₹2000 – ₹300 = ₹1700.

The discount they received was ₹300 and the final cost is ₹1700 (not including any further taxes or charges).

Understanding your result

Depending on what you are calculating and what values you have entered your result will vary.

Percentage of a number – This shows you how much of the original number the percentage you have entered represents.

Percentage of total – This shows you how much of the total the value you have entered represents as a percentage.

Percentage increase – This will show you how much the original number and new number have increased in relation to each other.

Percentage decrease – This will show you how much the original number and new number have decreased in relation to each other.

Discount percentage – This shows you how much the original price has decreased.

Your percentage could be less than 1%, between 1-100%, or greater than 100%. For example 150% of 200 would be 300.

It is also important to know the difference between a percentage and a percentage point increase. If an interest rate went from 5% to 8% this is a 3 percentage point increase. However it is a 60% increase.

Knowing the differences will help you understand your results.

Factors affecting your result

There are several factors that can affect your percentage.

Original value – This is the value you start with so will effect your percentage increase/decrease.

Part and Whole values – If you enter the wrong part or whole value for your percentage of total calculation this could greatly affect your result.

Type of calculation – Knowing whether you want to calculate a percentage of a number or a percentage change between two values is important.

Incorrect numbers – Entering incorrect numbers, decimal point in the wrong place or missing digits can cause misleading results.

Dividing by zero – If you need to divide by zero your percentage calculations will not be defined. For example if your original value was zero then you cannot calculate the percentage change.

Negative values – There are some instances where you may have negative values. This could be financial loss or temperature. This will depend on the situation and formula.

Rounding – This can slightly change your result as it is only showing two decimal places.

Checking these factors will improve your percentage results.

Benefits and uses

A Percentage Calculator can help students, professionals, shoppers and business owners.

Save Time – You can calculate percentages in seconds.

Students – Calculate exam scores, assignment scores, attendance percentages and academic results.

Shopping – Calculate discounts, savings and final price.

Budgeting – Calculate how much you are spending, how much you are saving and how much your household costs have changed.

Business – Calculate how much your sales have increased, your profit margin, how much your expenses have changed and performance indicators.

Salary – Calculate what percentage your salary has increased by.

Financial – Calculate interest rates, how much you are paying in tax and investment returns using the correct financial formula.

Avoid mistakes – This can help you avoid common mistakes when calculating.

Whether it be checking your marks at school or comparing prices of products percentages can be a useful way to understand your values.

Accuracy, Assumptions and Limitations

When using the correct values and formula a Percentage Calculator will give you accurate mathematical results. However it will only be as accurate as the information you put in.

It assumes you have chosen the right calculation type. When calculating percentage increases and decreases the original value is used as the base. If you use a different base you will get a different result.

If you have a zero in your original value your percentage may not be defined. This will happen when calculating percentage change. You should also be careful when using negative values, fractions and rounded numbers.

When dealing with financial figures a basic percentage calculation may not include extra factors such as compound interest, fees, taxes, inflation and changes in market value. These will require more specific formulae or calculators.

When calculating the discount percentage it will not automatically include extra charges. When calculating an exam percentage it does not necessarily mean this is the grade the student will receive.

This calculator will give you the mathematical result based on the values you have entered. You should always check any assumptions, units and rules before using the result for important academic, business or financial decisions.

FAQs

What is a Percentage Calculator?

A Percentage Calculator is an online tool used to calculate percentages, percentage changes, discounts and how much one number is as a percentage of another. It simplifies percentage calculations for education, shopping, financial situations and everyday life.

How do I calculate a percentage of a number?

Divide the percentage by 100 then multiply by the number. For example 25% of 400 would be (25 ÷ 100) x 400 = 100.

How do I calculate my exam percentage?

Divide your score by the maximum score then multiply by 100. For example if you scored 450 out of 500 your percentage would be (450 ÷ 500) x 100 = 90%.

How do I calculate a percentage increase?

Subtract the original value from the new value. Divide this by the original value then multiply by 100. For example if something increased from 200 to 250 this would be a 25% increase.

How do I calculate a percentage decrease?

Subtract the new value from the original value. Divide this by the original value then multiply by 100. For example if something decreased in price from ₹1000 to ₹800 this would be a 20% decrease.

Can I have more than 100%?

Yes! If the part or new value in your calculation is higher than the base value your percentage could be more than 100%. For example 150% of 200 would be 300.

What is the difference between a percentage and a percentage point?

A percentage is how much something is in relation to 100. A percentage point is how much the percentage has increased or decreased by. For example if something increased from 20% to 25% this would be a 5 percentage point increase. However it would be a 25% increase.