
Percentage Increase Calculator explained step by step, with the formula, quick examples, percent decrease, and how to calculate percentage increase in Excel.
Calculate the percentage increase, final value, or initial value between two numbers.
Enter values to see the result.
Percentage Increase
Formula Source: Investopedia — investopedia.com
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…
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.
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:
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.
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).
Say you invested $1,250, and after one year it grew to $1,445. To find the percent increase:
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
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|
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
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:
The relative change (the percentage) gives a clearer picture than the absolute change.
Other everyday examples of percentage increase include:
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.
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:
That’s why percent increase is one of the most common ways to describe growth.
To find percentage increase per unit of time, follow these steps:
You now have a rate in % per time (for example, % per second).
To raise a number by a chosen percent:
You’ve now added a percentage increase to the value.
To add 5%:
The new value is 105% of the starting value.
To add two percentages (as amounts), do this:
If both percentages use the same base number, you can add the percentages first, then calculate the combined percent once.
To add 10% to a number:
That’s a 10% increase.
To find a percentage of a number:
You’ve now calculated the percentage amount.
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.
A Percentage Increase Calculator is usually faster, but Excel can do it too:
=B1-A1, then label it difference.=(C1/A1)*100, then label it percentage increase.To increase a number by 20%:
That’s the full 20% increase.
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
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.
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
Now swap: 75 to 50
Round based on how you’ll use the number.
If the calculator shows a long decimal (like 66.6667%), rounding to 66.67% is usually reasonable.