Percent vs percentage points
Moving from 20% to 25% is 5 percentage points, but the relative increase is 25% because 5 is one quarter of 20.
Percentage Calculator
Plain-English percentage calculator
Use this when you need a portion of a number, such as 20% of 80.
Use this for discounts, tips, fees, marks, targets and any question where one number is part of another.
Start by choosing the type of percentage question that matches what you are trying to answer. For example, use "What is 20% of a number?" when you know the percentage and the original number, use "What percent is this?" when you are comparing one value with another, and use the discount or markup modes when you want to understand a sale price or price increase.
The calculator updates the answer as you type. The answer card gives the final value, while the visible steps show the arithmetic in plain language. This is useful when you want to check a shop discount, explain a fee, compare two figures, or copy the method into a note or message.
This is an estimate-only percentage maths tool for general guidance. It can help with shopping, school marks, fees, estimates and simple comparisons, but it does not decide tax treatment, investment returns, borrowing affordability or legal obligations. Check the relevant source where a decision depends on the result.
| Question | Working | Answer |
|---|---|---|
| What is 20% of 100? | 100 x 0.20 | 20 |
| What percent is 30 of 120? | 30 / 120 x 100 | 25% |
| 25% off GBP 80 | 80 - (80 x 0.25) | GBP 60 |
| Increase from 80 to 100 | (100 - 80) / 80 x 100 | 25% increase from the starting value of 80 |
| Decrease from 100 to 80 | (100 - 80) / 100 x 100 | 20% decrease from the starting value of 100 |
These two percentage-change examples use different starting values. The increase compares 20 with 80, while the decrease compares 20 with 100.
Moving from 20% to 25% is 5 percentage points, but the relative increase is 25% because 5 is one quarter of 20.
A 25% increase from 80 gives 100. A fall from 100 back to 80 is a 20% decrease because the starting value changed.
If GBP 75 is the price after 25% off, it represents 75% of the original price. Divide 75 by 0.75 to estimate GBP 100.
It can work out percentage of a number, what percent one number is of another, percentage change, discounts, VAT, markups, margins, reverse discounts, ratios, percentage points and percent difference.
Enter the starting value and the new value. The calculator finds the difference, divides it by the starting value, and turns that into a percentage.
Yes. Use Add VAT when you have a price before tax, or Remove VAT when the price already includes VAT. Use the VAT calculator when you want net, VAT and gross amounts separated clearly.
Yes. Each mode shows the answer plus clear steps explaining how the result was calculated.
No. A move from 20% to 25% is 5 percentage points, but it is a 25% relative increase compared with the starting 20%.