Percentage Increase Formula Explained, With Examples

Updated 5 Oct 2026 in Math & Geometry

Every percentage increase result comes from one formula. Once you understand what goes into it, you can sanity-check any figure you are given, whether by an employer, a bank, a teacher or another website.

The formula

New = value × (1 + p/100).

What each input means

Example

For example, with these inputs:

the calculator returns:

How the result changes

The table keeps the other inputs at their example values and changes starting value.

Starting valueNew valueIncrease
25028030
12514015
188210.5622.56
312349.4437.44
37542045

Why it matters

These calculations come up in school, at work and in daily life, from PSLE and O-Level practice to measuring a room for new flooring. Doing them by hand builds understanding, and a calculator lets you check the answer instantly.

These calculations appear throughout the Singapore syllabus, from primary school percentages and fractions to secondary school algebra and geometry. Understanding the formula makes problem sums easier because you can recognise which quantity is missing.

In everyday life the same maths shows up in discounts, recipe scaling, renovation measurements and comparing prices per unit. Being comfortable with it saves money and avoids costly measuring mistakes.

A quick mental estimate before calculating is a powerful check. If a room's floor area comes out at 4,000 square metres or a percentage comes out above 100% when it should not, you know to look again.

Related calculations

Use the Percentage Increase Calculator to plug in your own numbers.

Run your own numbers: Percentage Increase Calculator

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