Percentage Increase Calculator (2024)

Created by Mateusz Mucha and Dominik Czernia, PhD

Reviewed by

Bogna Szyk and Jack Bowater

Last updated:

Jan 18, 2024

Table of contents:
  • How to calculate percent increase
  • Percent increase formula
  • Calculating percent decrease
  • Closely related topics
  • FAQ

The percentage increase calculator is a useful tool if you need to calculate the increase from one value to another in terms of a percentage of the original amount. Before using this calculator, it may be beneficial for you to understand how to calculate the percent increase by using the percent increase formula. The upcoming sections will explain these concepts in further detail.

How to calculate percent increase

The concept of percent increase is basically the amount of increase from the original number to the final number in terms of 100 parts of the original. An increase of 5 percent would indicate that, if you split the original value into 100 parts, that value has increased by an additional 5 parts. So if the original value increased by 14 percent, the value would increase by 14 for every 100 units, 28 for every 200 units, and so on.

To make this even more clear, we will get into an example using the percent increase formula in the next section.

🙋 While the percentage increase calculator is important in mathematics, it is also useful in science, such as calculating the percent increase in mass of a chemical element in a compound.

Percent increase formula

The percent increase formula is as follows:

%increase=100×(finalinitial)initial\footnotesize \rm\%\ increase = 100 \times \frac{(final - initial)}{|initial|}%increase=100×∣initial∣(finalinitial)

An example using the formula is as follows. Suppose a $1,250 investment increased in value to $1,445 dollars in one year. What is the percent increase of the investment? To answer this, use the following steps:

  1. Identify the initial value and the final value.
  2. Input the values into the formula.
  3. Subtract the initial value from the final value, then divide the result by the absolute value of the initial value.
  4. Multiply the result by 100. The answer is the percent increase.
  5. Check your answer using the percentage increase calculator.

Working out the problem by hand, we get:

  1. [(1,445 - 1,250)/1,250] × 100
  2. (195/1,250) × 100
  3. 0.156 × 100
  4. 15.6 percent increase.

The percentage growth calculator is a great tool to check simple problems. It can even be used to solve more complex problems that involve a percent increase. You may also find the percentage calculator is also useful in this type of problem.

Calculating percent decrease

If you want to know how to calculate percent decrease, we follow a very similar process as percent increase. Notice the slight modification of the formula:

%decrease=100×(initialfinal)initial\footnotesize \rm\%\ decrease = 100 \times \frac{(initial - final)}{|initial|}%decrease=100×∣initial∣(initialfinal)

Suppose we have the same investment value after one year of $1,445. A year later the value decreased to $1,300. The percent decrease would be calculated as follows:

  1. [(1,445 - 1,300)/1,445] × 100
  2. (145/1,445) × 100
  3. 0.10 × 100 = 10 percent decrease

Although we have just covered how to calculate percent increase and percent decrease, sometimes we just are interested in the change in percent, regardless if it is an increase or a decrease. If that is the case, you can use the percent change calculator or the percentage difference calculator. A situation in which this may be useful would be an opinion poll to see if the percentage of people who favor a particular political candidate differs from 50 percent.

If you want to learn how to express the relative error between the observed and true values in any measurement, check our percent error calculator.

FAQ

Where is percentage increase useful?

Percentage increase is useful when you want to analyze how a value has changed with time. Although percentage increase is very similar to absolute increase, the former is more useful when comparing multiple data sets. For example, a change from 1 to 51 and from 50 to 100 both have an absolute change of 50, but the percentage increase for the first is 5000%, while for the second, it is 100%, so the first change grew relatively a lot more. This is why percentage increase is the most common way of measuring growth.

How do I calculate percentage increase over time?

Here are the steps to calculate a percentage increase over time:

  1. Divide the larger number by the original number. If you have already calculated the percentage change, go to step 4.

  2. Subtract one from the result of the division.

  3. Multiply this new number by 100. You now have the percentage change.

  4. Divide the percentage change by the period of time between the two numbers.

  5. You now have the percentage increase over time. Remember that the units will be % / [time], where time is the units you divided by, e.g., s for seconds, min for minutes, etc.

  6. For linear plots, multiply this number by any time difference to get the percentage change between the two times.

  7. For non-linear plots, just replace the larger number with your equation and solve algebraically. This will only find the percentage change between a number you input and the original number.

See Also
basic rate

How do I add a percentage increase to a number?

If you want to increase a number by a certain percentage, follow these steps:

  1. Divide the number you wish to increase by 100 to find 1% of it.
  2. Multiply 1% by your chosen percentage.
  3. Add this number to your original number.
  4. There you go. You have just added a percentage increase to a number!

How do I add 5% to a number?

To add 5% to a number:

  1. Divide the number you wish to add 5% to by 100.
  2. Multiply this new number by 5.
  3. Add the product of the multiplication to your original number.
  4. Enjoy working at 105%!

How do I add two percentages?

To add two percentages together follow these steps:

  1. Calculate the first percentage by dividing the number you wish to find the percentage of by 100.

  2. Multiply the result by the percentage in its percentage form (e.g., 50 for 50%) to get the percentage of the original number.

  3. Repeat steps 1 & 2 for the other number.

  4. Add these two numbers together to get the addition of two percentages.

  5. If the number you wish to find the percentage of is the same for both percentages, you can just add the two percentages together and use this new percentage to get the result of the addition.

How do I calculate a 10% increase?

  1. Divide the number you are adding the increase to by 10.
  2. Alternatively, multiply the value by 0.1.
  3. Add the product of the previous step to your original number.
  4. Be proud of your mathematical ability!

How do I make a percentage?

  1. Decide two things — the number of which you want to find the percentage of and your chosen percentage.
  2. Divide the chosen number by 100.
  3. Multiply this new number by your chosen percentage.
  4. There you go. You’ve just made a percentage!

What is a 50% increase?

A 50% increase is where you increase your current value by an additional half. You can find this value by finding half of your current value and adding this to the value. For example, if you wanted to find what a 50% increase to 80 was, you’d divide by 2 to get 40, and add the two values together to get 120. A 50% increase is different to a 100% increase, which is double the original value.

How do I calculate percentage increase in Excel?

While it's easier to use Omni Calculator's Percentage Increase Calculator, here are the steps to calculate the percentage increase in Excel:

  1. Input the original number (for example, into cell A1).

  2. Input the increased number (for example, into cell B1).

  3. Subtract the original number from the increased number (In C1, input =B1-A1) and label it 'difference'.

  4. Divide the difference by the original price and multiply it by 100 (In D1, input =(C1/A1)*100) and label it 'percentage increase'.

  5. Right-click on the final cell and select Format Cells.

  6. In the Format Cells box, under Number, select Percentage and specify your desired number of decimal places.

How do I add 20% to a number?

  1. Divide the original number by 100 to get 1% of it.
  2. Multiply 1% by your desired percentage, in this case, 20.
  3. Add the product of the previous step to your original number.
  4. Congratulate yourself on adding 20% to your number!

Mateusz Mucha and Dominik Czernia, PhD

Percentage Increase Calculator (2024)

FAQs

How do I figure out a percentage increase? ›

Calculating percentage increase
  1. work out the difference. between the two numbers being compared.
  2. divide the increase by the original number and multiply the answer by 100.
  3. in summary: percentage increase = increase ÷ original number × 100.

How do you calculate correct answer percentage? ›

Step 1: Divide the obtained marks by the maxim marks of the test. Step 2: Multiply the result by 100. Go through the example given below to understand the process of finding the percentage of marks.

What is the best trick to calculate percentage? ›

Types of percentage problems
Finding the partFinding the percentage
Question:"What is 50% of 25?""What percent of 25 is 12.5?"
Solution:Multiply the percentage by the wholeDivide the part by the whole and multiply the result by 100
Equation:0.50 x 25 = 12.5(12.5/25) x 100 = 50%
Mar 5, 2024

How do I calculate my raise percentage? ›

Example
  1. First, determine the difference between the employee's old and new salary: $52,000 – $50,000 = $2,000.
  2. Next, divide the raise amount by their old salary: $2,000 / $50,000 = . ...
  3. To turn the decimal into a percentage, multiply by 100: 100 X . 04 = 4%
May 6, 2024

How to solve percentage? ›

How Do We Find Percentage? The percentage can be found by dividing the value by the total value and then multiplying the result by 100. The formula used to calculate the percentage is: (value/total value)×100%.

What is the correct way to calculate percent change? ›

To find the percent change, you first subtract the earlier index value from the later one, then divide that difference by the earlier index value, and finally multiply the result by 100.

How to calculate total amount to percentage? ›

If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100.

How do you find the percentage of answers correctly? ›

You need to divide the number of correct answers by the total number of questions. Then, multiply by 100% to know the percentage grade. Yep, that's easy!

How do you solve percent of increase problem? ›

How do you calculate percentage increase? First, find the difference between the new value and the original value. Then divide the difference by the original value. Finally, convert the resulting decimal into percentage form.

How do you solve percentage problems quickly? ›

To solve percent problems, you can use the equation, Percent ⋅ Base = Amount , and solve for the unknown numbers. Or, you can set up the proportion, Percent = amount base , where the percent is a ratio of a number to 100. You can then use cross multiplication to solve the proportion.

How do you find the original number from a percentage increase? ›

Answer
  1. Start with the original volume as 100%
  2. The new volume is 50% more than this: 100% + 50% = 150%
  3. 150% = 750 ml. We can divide by 150 to find 1%.
  4. 1% = 5 ml. We can now multiply by 100 to find 100%, which was the original volume.
  5. 100% = 500 ml.

How to calculate percentage increase? ›

Percentage increase:

If the amount increases then we use the formula: (new value−original value)original value×100= Percentage increase. (new value − original value) original value × 100 = Percentage increase .

What is the math hack for percentages? ›

You simply take the first number in the percentage figure, so for example it would be 2 if it the number was 20, and multiply it by the first number of the other figure. For example if the question is: What is 20 per cent of 30? You would calculate it as 2x3=6. Voila!

What is the most important formula for percentage? ›

The percentage can be calculated by dividing the value by the total value and multiplying the final value by 100. The formula to find the percentage is (value/total value)×100%.

How to calculate percentage change between two numbers? ›

To find the percent change, you first subtract the earlier index value from the later one, then divide that difference by the earlier index value, and finally multiply the result by 100.

How do you calculate growth percentage? ›

To calculate the growth rate, take the current value and subtract that from the previous value. Next, divide this difference by the previous value and multiply by 100 to get a percentage representation of the rate of growth.

How do you calculate a 5% increase? ›

So, assuming your monthly salary is $1,000, a 5% increase will be 0.05 multiplied by $1,000 plus the current salary, resulting in $1,050.

What is the formula for percentage? ›

Percentage Formula

To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100.

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