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Working out a percentage increase by hand is easy to get wrong, especially when you’re dealing with decimals or negative numbers. Our percentage increase calculator does the math for you in seconds. Just enter two numbers, and you’ll get an accurate result along with the exact formula used, so you can see how the answer was calculated.

This tool is built for anyone who needs quick, reliable percentage answers — students checking homework, employees comparing salary offers, shop owners pricing products, or anyone trying to understand how much a number has grown or shrunk.

What Is a Percentage Increase?

A percentage increase shows how much a value has grown compared to where it started. It’s expressed as a percentage rather than a plain number, which makes it easier to compare changes of different sizes.

For example, if your rent goes from $800 to $880, that’s a $80 increase. But saying “a 10% increase” gives you a much clearer sense of how significant that change actually is.

People calculate percentage increase in everyday situations like:

• Comparing prices before and after a sale or price hike
• Checking how much a salary or bonus has grown
• Tracking business revenue or sales growth over time
• Measuring changes in test scores, weight, or other personal data

How to Use This Calculator

Using the calculator takes just a few seconds. Here’s how it works.

Step 1 — Enter the Original Value

Type in the starting number — this is the value before any change happened. For example, if you’re tracking a price increase, this would be the original price.

Step 2 — Enter the New Value

Enter the updated number — the value after the change took place. This could be the new price, new salary, or new total.

Step 3 — Click Calculate

Press the calculate button, and the tool instantly works out the percentage change between your two numbers.

Step 4 — Read Your Results

Your result appears right away, showing the percentage change along with extra details like the absolute difference between the two values and whether the change was an increase or a decrease.

Percentage Increase Formula

If you ever want to calculate a percentage increase manually, here’s the formula the calculator uses behind the scenes:

Percentage Increase = ((New Value − Original Value) ÷ Original Value) × 100

Formula Explained with Variables

• New Value is the number after the change
• Original Value is the number before the change
• Subtracting the two gives you the difference
• Dividing by the original value turns that difference into a ratio
• Multiplying by 100 converts the ratio into a percentage

Why the Formula Works

The formula compares the size of the change to the size of the original number. This is why the same $10 increase can mean very different things depending on the starting point — a $10 raise on a $50 item is a big deal, but a $10 raise on a $5,000 item barely moves the needle. Dividing by the original value accounts for that difference automatically.

Percentage Increase Examples

Seeing the formula in action makes it much easier to understand. Here are a few real-world examples.

Example 1 — Salary Increase

Suppose your salary goes from $40,000 to $44,000.

((44,000 − 40,000) ÷ 40,000) × 100 = 10%

Your salary increased by 10%.

Example 2 — Price Increase

A product’s price rises from $25 to $30.

((30 − 25) ÷ 25) × 100 = 20%

That’s a 20% price increase.

Example 3 — Business Growth

A company’s monthly revenue grows from $15,000 to $18,000.

((18,000 − 15,000) ÷ 15,000) × 100 = 20%

The business saw a 20% increase in revenue.

Example 4 — Percentage Decrease

Not every change is an increase. If a value drops from $100 to $80:

((80 − 100) ÷ 100) × 100 = −20%

The negative result shows a 20% decrease, which is exactly how the calculator flags a drop instead of a rise.

Percentage Increase vs. Percentage Decrease

Percentage increase and percentage decrease use the exact same formula. The only difference is the direction of the result.

• If the new value is higher than the original, the result is positive, meaning an increase.
• If the new value is lower than the original, the result is negative, meaning a decrease.

This is a common point of confusion, but once you see that both calculations rely on one formula, it becomes much simpler to work with.

Other Percentage Calculations You Might Need

Percentage increase is useful, but it’s not the only percentage calculation people search for. This tool also covers a few related calculations that often come up alongside it.

Find the New Value After a Percentage Change

Sometimes you already know the percentage change and need to find the resulting value. For example, if a $200 item goes up by 15%, what’s the new price? This calculation applies the percentage directly to the original number to give you the updated total.

Reverse Percentage Calculator (Find Original Value)

This works backward. If you know the final value and the percentage change, you can find out what the number was before the change happened. It’s useful for figuring out an original price before a discount or markup was applied.

Calculate a Percentage of a Number

This answers a simpler but very common question: what is X% of a given number? For example, 15% of 200 is 30. It’s the calculation behind tips, taxes, and commissions.

Common Mistakes to Avoid

Percentage calculations look simple, but a few mistakes come up often. Here’s what to watch for.

Using the Wrong Base Value

The “original value” in the formula should always be the starting number, not the new one. Swapping them by mistake will give you an incorrect percentage.

Confusing Percentage Points with Percentage Change

If an interest rate moves from 5% to 7%, that’s a 2 percentage point increase — but it’s actually a 40% increase relative to the original rate. These two ideas sound similar but describe different things, so it’s worth being careful about which one you mean.

Forgetting Negative Values for Decreases

When a value goes down, the percentage change should be negative. If you’re calculating a new value after a decrease, make sure to enter the percentage as a negative number so the math comes out correctly.

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Frequently Asked Questions

What is the formula for percentage increase?

The formula is ((New Value − Original Value) ÷ Original Value) × 100. A positive result means an increase, while a negative result means a decrease.

How is percentage decrease different from increase?

They use the same formula. The only difference is the sign of the result — a negative percentage simply means the value went down instead of up.

Can I find the original value before a percentage change?

Yes. Using the reverse percentage calculation, you can enter the final value and the percentage change to work out what the original number was.

What does “percentage of value” mean?

It tells you what a specific percentage of a number equals. For example, 15% of 200 is 30. This is often used for calculating discounts, taxes, or tips.

Is this percentage increase calculator free to use?

Yes, the calculator is completely free, requires no sign-up, and gives instant results on any device.

Why Use Our Percentage Increase Calculator

This calculator is built to be fast, accurate, and easy to use on any device. There’s no sign-up, no downloads, and no waiting — just enter your numbers and get an instant, reliable result along with the formula behind it. Whether you’re checking a price change, a salary increase, or business growth, it’s a simple way to get the answer without doing the math by hand.