Math calculators

Percentage Increase Calculator

Updated Sep 1, 2026 By Jehan Wadia
Rate Formulas
Calculation Mode
Find Percentage Increase / Decrease
Accepts numbers or time formats (hh:mm, mm:ss, hh:mm:ss)
Enter a valid number or time format
Accepts numbers or time formats (hh:mm, mm:ss, hh:mm:ss)
Enter a valid number or time format

Percentage Change
25.00%
Increase
Difference (Absolute Change)
50
Calculated Value
Summary
Original Value200
New Value250
Absolute Change50
Percentage Change25.00%
DirectionIncrease
Step-by-Step Solution
Visual Comparison

Introduction

A percentage increase calculator helps you find how much a value has gone up or down in percent. Enter your original number and your new number, and the tool calculates the percentage increase. It shows the percentage change, the difference between the two values, and a step-by-step breakdown of how the answer was found. You can also use it to find a new value after a percent increase or decrease, or work backward to find the original value before a change happened. The calculator handles regular numbers and time formats like hours and minutes, so it works for many real-life situations such as tracking price changes, salary raises, test scores, or workout times.

How to Use Our Percentage Increase Calculator

Enter your numbers below to quickly find the percentage increase, decrease, or original value. The calculator shows your answer, a step-by-step solution, and a visual chart.

Calculation Mode: Pick what you want to find. Choose "Find % Change" to see the percentage difference between two numbers. Choose "Find New Value" to apply a percentage to a starting number. Choose "Find Original Value" to work backward from a result.

Original Value: Type the starting number. This is the number you began with before any change happened. You can also enter time formats like 2:30 or 1:15:00.

New Value: Type the number after the change. This is the updated or final number you want to compare against the original.

Percentage (%): When using "Find New Value" or "Find Original Value" mode, enter the percentage you want to apply.

Direction: In "Find New Value" or "Find Original Value" mode, choose whether the percentage is an increase (going up) or a decrease (going down).

Decimal Places: Choose how many decimal places you want in your answer. The default is 2, but you can pick anywhere from 0 to 4.

Calculate / Reset: Press "Calculate" to get your result or press "Reset" to clear everything and start over.

What Is Percentage Increase?

A percentage increase tells you how much a number has grown compared to its original value. For example, if a shirt costs $20 and the price goes up to $25, the percentage increase is 25%. You find it by taking the difference between the new number and the old number, dividing by the old number, then multiplying by 100. This concept is closely related to general percentage calculations and is the opposite of a percentage decrease.

How to Calculate Percentage Increase

The formula is simple: Percentage Increase = ((New Value − Original Value) ÷ Original Value) × 100. If the answer is positive, the value went up. If the answer is negative, the value went down, which means it is a percentage decrease instead. If you need to measure the absolute size of a change without regard to direction, you can use a percent difference calculator.

When Do You Use Percentage Increase?

You use percentage increase in everyday life more than you might think. It helps you understand price changes at the store, salary raises at work, population growth in a city, or score improvements on a test. Any time two numbers change from one point to another, percentage increase helps you measure how big that change really is.

Percentage Increase vs. Percentage Decrease

Percentage increase means a value got bigger. Percentage decrease means it got smaller. Both use the same formula. The only difference is the direction. If the new value is higher than the original, you have an increase. If it is lower, you have a decrease, as with markdowns, depreciation, or weight loss.

Common Mistakes to Avoid

The most common mistake is dividing by the wrong number. Always divide by the original value, not the new value. Another mistake is forgetting that percentage change can be negative. A negative result simply means the value dropped instead of rising. When dealing with very precise measurements, be mindful of significant figures and rounding rules so your final percentage is accurate. It is also easy to mix up percentage increase with markup, which calculates the percentage added to cost to arrive at a selling price, a subtle but important distinction in business contexts.


Formulas used

Percentage Change
\text{Percentage Change} = \frac{\text{New Value} - \text{Original Value}}{|\text{Original Value}|} \times 100
Find New Value (Increase)
\text{New Value} = \text{Original} \times \left(1 + \frac{\text{Percentage}}{100}\right)
Find New Value (Decrease)
\text{New Value} = \text{Original} \times \left(1 - \frac{\text{Percentage}}{100}\right)
Find Original Value (after Increase)
\text{Original Value} = \frac{\text{New Value}}{1 + \frac{\text{Percentage}}{100}}
Find Original Value (after Decrease)
\text{Original Value} = \frac{\text{New Value}}{1 - \frac{\text{Percentage}}{100}}
Absolute Change
\text{Difference} = \text{New Value} - \text{Original Value}

Frequently asked questions

How do I find the original price before a percentage increase?

Select the Find Original Value mode. Enter the new (current) value, type the percentage increase, and make sure the direction is set to "Increase." The calculator will divide the new value by (1 + percentage / 100) to give you the original price.

Can the percentage change be more than 100%?

Yes. If a value more than doubles, the percentage increase is over 100%. For example, going from 50 to 150 is a 200% increase. There is no upper limit on percentage change.

How many decimal places should I use?

It depends on how precise you need to be. For most everyday uses like price changes or grades, 2 decimal places is enough. For scientific or financial work that needs more accuracy, choose 3 or 4 decimal places.

How do I calculate percentage increase between two time values?

Enter both times in the same format (like mm:ss or hh:mm:ss) in the Find % Change mode. The calculator converts each time to seconds, finds the difference, and gives you the percentage change. For example, going from 5:00 to 4:00 in a race would show a 20% decrease.

What does a negative percentage change mean?

A negative percentage change means the value went down, not up. The calculator labels this as a decrease and shows it with a red badge. The absolute value of the percentage tells you how big the drop was.