Percentage Increase Calculator

Calculate the percentage increase, final value, or initial value between two numbers.

Enter values to see the result.

Formula Source: Investopedia — investopedia.com

Examples

The Percentage Increase Calculator helps you measure how much a value rose from a starting point to a new amount, shown as a percentage of the original value. It’s quick and convenient, but it also helps to know the simple math behind it. Once you understand the formula, you can spot-check results and feel confident you’re using the right inputs.

How to calculate percent increase

Percent increase tells you how much something grew compared to where it started, using 100 parts as the reference point. A 5% increase means the original amount grew by 5 parts out of every 100 parts.

So if a value goes up by 14%, that means:

  • 14 more for every 100 units
  • 28 more for every 200 units
  • and so on

Next, we’ll walk through the formula with a clear example.

While the Percentage Increase Calculator is common in math, it also shows up in science. For example, you might use percent increase to describe how the mass of an element changes when it forms a compound.

Percent increase formula

Use this formula to compute percentage growth:

Percent increase = 100 × (final − initial) / |initial|

The |initial| part means you use the absolute value of the starting number (in other words, ignore the minus sign if it’s negative).

Worked example

Say you invested $1,250, and after one year it grew to $1,445. To find the percent increase:

  1. Write down the initial value (1,250) and the final value (1,445).
  2. Plug them into the formula.
  3. Subtract initial from final.
  4. Divide by the absolute value of the initial amount.
  5. Multiply by 100.
  6. If you want, confirm using a Percentage Increase Calculator.

By hand, it looks like this:

[(1,445 − 1,250) / 1,250] × 100
(195 / 1,250) × 100
0.156 × 100
= 15.6% increase

A percentage growth calculator can handle both quick checks and more detailed problems. If you’re working with other percent tasks, a general percentage calculator can help there too.

Also Check: Percentage Point Calculator

Calculating percent decrease

Percent decrease works almost the same way, you just switch the order in the subtraction so the result reflects a drop:

Percent decrease = 100 × (initial − final) / |initial|

Example of percent decrease

Using the same investment, assume it was $1,445, and one year later it fell to $1,300. The percent decrease is:

[(1,445 − 1,300) / 1,445] × 100
(145 / 1,445) × 100
0.10 × 100 = 10% decrease

Real-life applications

Percent increase comes up anytime you want to describe growth in a way that’s easy to compare. It often says more than the raw number change because it shows the pace of growth.

Here’s why that matters. Imagine a company reports $1,000,000 more profit than last year. That sounds big, but it doesn’t tell the full story until you know last year’s profit:

  • If last year was $1,000,000, then profit rose by 100%, a huge jump.
  • If last year was $100,000,000, then profit rose by 1%, which is small.

The relative change (the percentage) gives a clearer picture than the absolute change.

Other everyday examples of percentage increase include:

  • Inflation rate, which compares today’s prices to prices 12 months ago
  • Salary increase rate, which shows how pay changed year over year (if it beats inflation, buying power often improves)
  • Population growth rate, which tracks how fast a region’s population rises

Sometimes you don’t only want “increase” or “decrease.” You just want the overall change as a percent, no matter the direction. In that case, a percent change or percentage difference calculator may fit better.

These tools are handy for comparing things like average pay across different jobs from one year to the next.

And if you’re comparing measured values to true values, a percent error calculator is the better match.

Where percentage increase is useful

Percentage increase is helpful when you’re tracking change over time or comparing different sets of numbers. It’s often more useful than absolute increase when starting values are different.

For example, moving from 1 to 51 and from 50 to 100 both increase by 50 in absolute terms. But the percent increases are very different:

  • 1 to 51 is a 5000% increase
  • 50 to 100 is a 100% increase

That’s why percent increase is one of the most common ways to describe growth.

How to calculate percentage increase over time

To find percentage increase per unit of time, follow these steps:

  1. If you don’t already know the percent change, subtract the initial value from the final value.
  2. Divide that difference by the absolute value of the initial value.
  3. Multiply by 100 to get the percentage change.
  4. Divide that percentage change by the time between the two values.

You now have a rate in % per time (for example, % per second).

  • For a straight-line trend, multiply the rate by a time span to estimate change over that span.
  • For a curved trend, replace the “final value” with your equation and solve to find change from the start.

How to add a percentage increase to a number

To raise a number by a chosen percent:

  1. Divide the number by 100 to find 1% of it.
  2. Multiply that by your percent.
  3. Add the result back to the original number.

You’ve now added a percentage increase to the value.

How to add 5% to a number

To add 5%:

  1. Divide the number by 100.
  2. Multiply the result by 5.
  3. Add that amount to the original number.

The new value is 105% of the starting value.

How to add two percentages

To add two percentages (as amounts), do this:

  1. For the first percentage, divide the base number by 100.
  2. Multiply by the first percent (for example, multiply by 50 for 50%).
  3. Repeat for the second percentage.
  4. Add the two results.

If both percentages use the same base number, you can add the percentages first, then calculate the combined percent once.

How to calculate a 10% increase

To add 10% to a number:

  1. Divide the number by 10, or multiply it by 0.1.
  2. Add that amount to the original value.

That’s a 10% increase.

How to make a percentage

To find a percentage of a number:

  1. Start with the number you want a percent of.
  2. Divide it by 100.
  3. Multiply by the percent you want.

You’ve now calculated the percentage amount.

What is a 50% increase?

A 50% increase means you add half of the current value to itself. One simple way to do it is to find 50% (half) of the number, then add it back.

Example: 50% of 80 is 40, and 80 + 40 = 120.

This is not the same as a 100% increase, which doubles the original value.

How to calculate percentage increase in Excel

A Percentage Increase Calculator is usually faster, but Excel can do it too:

  1. Enter the original number in A1.
  2. Enter the new number in B1.
  3. In C1, type =B1-A1, then label it difference.
  4. In D1, type =(C1/A1)*100, then label it percentage increase.
  5. Right-click the result cell, choose Format Cells.
  6. Under Number, select Percentage, then pick the decimal places you want.

How to add 20% to a number

To increase a number by 20%:

  1. Divide the original number by 100 to get 1%.
  2. Multiply that by 20.
  3. Add the result to the original number.

That’s the full 20% increase.

People also ask

It tells you how much a value went up, expressed as a percent of the starting value. You enter an original value and a new value, and the calculator returns the percent increase.

If the new value is lower than the original, the result comes out negative, which means it’s actually a percent decrease.

Most tools use the standard percent increase formula:

Percent increase = ((new − original) ÷ original) × 100

That’s it, difference first, then divide by the original, then multiply by 100.

Yes. A percent increase goes over 100% when the new value is more than double the original.

Example: from 5 to 20

  • Change: 20 − 5 = 15
  • Percent increase: (15 ÷ 5) × 100 = 300%

You can’t calculate a normal percent increase from zero because the formula divides by the original value, and division by zero is undefined.

If the original is 0 and the new value is greater than 0, some calculators show an error, and others may label it as an undefined or infinite increase.

Yes, as long as the original value isn’t zero.

  • Decimals work normally (for example, 12.5 to 15.75).
  • Money works normally too, just enter the numbers (for example, 49.99 to 59.99).
  • Negative numbers can work, but the meaning can get tricky because the baseline is negative, so the “increase” may not match everyday language. In those cases, double-check whether percent change is the right tool for the situation.

They’re not the same, and this mix-up is common.

Scenario Calculation Result
10% to 15% (percentage points) 15% − 10% 5 percentage points
10% to 15% (percent increase) (15 − 10) ÷ 10 × 100 50% increase

If you’re comparing two percentages (like interest rates or test scores), decide whether you need points or percent increase before you calculate.

Yes. If you know the original value and the percent increase, you can calculate the new value with:

New value = original × (1 + percent increase ÷ 100)

Because percent increase is measured relative to the original value. Switching the baseline changes the fraction, so the percent changes.

Example: 50 to 75

  • Increase: (75 − 50) ÷ 50 × 100 = 50%

Now swap: 75 to 50

  • Change: (50 − 75) ÷ 75 × 100 = −33.33% (a decrease)

Round based on how you’ll use the number.

  • For quick comparisons, 1 decimal place is often enough.
  • For money, 2 decimals can be helpful.
  • For reporting, match the precision used in the rest of your data.

If the calculator shows a long decimal (like 66.6667%), rounding to 66.67% is usually reasonable.