Percentage Increase Calculator

What Is Percentage Increase?

Percentage increase tells you how much a value has grown compared with its original amount. It is useful when you want to compare a starting value with a later value and express the difference as a percentage.

For example, if a price changes from $60 to $75, the amount has increased by $15. Looking at the change as a percentage makes it easier to compare this increase with changes in other values.

The percentage increase is based on the original value, not the new value. This is an important detail because using the wrong starting point can produce an incorrect result.

Percentage Increase Formula

To calculate the increase, first find the difference between the new value and the original value. Then divide that difference by the original value and multiply by 100.

The formula compares the amount of change with the starting value. This is why the original value remains in the denominator.

How to Calculate a Percentage Increase

You can work out the result by following three simple steps:

1. Subtract the original value from the new value.
2. Divide the difference by the original value.
3. Multiply the result by 100.

This method works for prices, measurements, scores, quantities, and many other types of numerical values.

Example of a Percentage Increase

Suppose a monthly subscription costs $48 at first and later rises to $60. The first step is to find the difference:

Next, divide the difference by the original amount:

Finally, multiply by 100:

Therefore, the subscription price increased by 25%.

Why Does the Original Value Matter?

Percentage change is measured relative to the starting point. If you use the new value as the denominator instead, you are calculating a different ratio.

For instance, a change from 50 to 75 is an increase of 25. Compared with the original 50, that represents a 50% increase:

The same difference would represent a different percentage if the starting value were different. Always identify the original value before applying the formula.

What If the New Value Is Smaller?

A percentage increase calculation can also be given values where the second value is lower than the first. In that situation, the mathematical result is negative because the value moved downward rather than upward.

For example, if a value changes from 140 to 105:

The -25% result indicates that the value decreased by 25%. The negative sign is useful because it shows the direction of the change instead of hiding it.

If you specifically want to measure a decrease, a percentage decrease calculation may be more appropriate. For general changes in either direction, a percent change calculation can also be used.

What If the Two Values Are the Same?

When the original and new values are equal, there has been no change.

A result of 0% means the value stayed exactly the same.

How to Use the Percentage Increase Calculator

The calculator can perform the calculation for you once you provide the two values involved in the comparison.

1. Enter the starting amount as the original value.
2. Enter the later amount as the new value.
3. Read the calculated percentage shown by the tool.

If the new value is higher, the result will be positive. If it is lower, the result will be negative, making the direction of the change clear.

Where Is Percentage Increase Used?

Percentage comparisons are useful whenever two values need to be compared on a common scale. They can help explain changes without relying only on the raw difference between the numbers.

• Comparing changes in prices or expenses.
• Tracking growth in sales or revenue.
• Measuring changes in test scores or performance.
• Comparing measurements taken at different times.
• Reviewing changes in quantities, rates, or other numerical data.

The percentage gives the change some context by relating it to the original amount.

Percentage Increase vs. Percentage Point Increase

These two expressions can sound similar but describe different ideas. A percentage increase compares the relative change between two values, while percentage points describe the direct difference between two percentages.

For example, if a rate moves from 20% to 30%, the difference is 10 percentage points. However, relative to the original 20%, the increase is:

So the rate increased by 10 percentage points, which is a 50% relative increase.

Common Mistakes to Avoid

• Using the new value as the base: The original value belongs in the denominator.
• Forgetting to multiply by 100: The decimal result must be converted into a percentage.
• Ignoring the direction: A negative result means the new value is lower than the original.
• Confusing percentages with percentage points: They measure different types of change.

Quick Reference

When you need a quick reminder, use this formula:

A positive result indicates an increase, zero means there was no change, and a negative result indicates that the new value is lower than the original.

Summary

Percentage increase measures how much a value has changed relative to where it started. To find it, subtract the original value from the new value, divide by the original value, and multiply by 100.

The result can be positive, zero, or negative depending on the direction of the change. Keeping the sign is useful because it makes that direction immediately clear.

For a quick calculation, enter the original and new values into the AptCalc Percentage Increase Calculator and let the tool handle the calculation.