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Formula

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Results

20% more than 100 is
120
base plus the increase
Base number (Y) 100
Amount of increase 20
Final result 120

What This Calculator Does

This tool answers a very common everyday question: "What number is X% more than Y?" You provide a base number (Y) and a percentage (X), and it returns the value that results from increasing Y by that percentage. This is useful for markups, raises, price increases, tips, taxes added on top, and any situation where you add a percentage to a starting amount.

How to Use It

Enter the percentage increase in the first field (for example, 20 means 20% more) and the base number in the second field. Press calculate to see the new total, along with the original base and the exact amount that was added.

The Formula Explained

The result is computed as $$\text{result} = \text{y} \times \left(1 + \frac{\text{x}}{100}\right)$$ Dividing X by 100 converts the percentage into a decimal fraction. Adding 1 keeps the original amount and then adds the extra portion on top. For instance, 20% becomes 0.20, and \(1 + 0.20 = 1.20\), so the base is multiplied by 1.20.

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Bar showing base value y plus a percentage increase forming a larger result
The result equals the base value y plus the percentage increase added on top.

Worked Example

Suppose Y = 100 and X = 20. Then $$\text{result} = 100 \times \left(1 + \frac{20}{100}\right) = 100 \times 1.20 = 120$$ The amount of increase is \(120 - 100 = 20\). So 20% more than 100 is 120.

Number line from base value to higher result with the added amount marked
Increasing y by x percent moves it to a higher result, with the gap showing the amount added.

FAQ

What is 15% more than 200? \(200 \times \left(1 + \frac{15}{100}\right) = 200 \times 1.15 = 230\).

Can X be a decimal? Yes. You can enter values like 7.5% and the calculator handles them precisely.

What if I want X% less than Y? Use a different tool, or simply enter a negative percentage here — for example, X = −10 reduces Y by 10%.

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