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PercentlyEveryday percentage math

%Percentage Calculator

Find a percentage of a number, percentage change, or the original value in seconds.

Top toolThree ways it saves you time

Reverse-discount solver

Recover an item's original price from its sale price and discount.

Profit-margin calculator

Calculate margin directly from cost and selling price.

Everyday percentage modes

Handle portions, ratios and increases or decreases in one tool.

20% of 80

16
Calculated result

Using this tool

Choose the relationship before calculating

Select the question you want to answer, then enter the two values. Percently handles common percentage questions such as part of a total, percentage change and finding an original number from a known percentage.

Reading the output

The reference value changes the answer

Worked example

An 80 to 100 price change

If a price rises from 80 to 100, the increase is 20. Dividing 20 by the original 80 gives a 25% increase, not 20%.

Calculation

Parts, wholes and relative change

Percentage = part divided by whole times 100. Percentage change = (new value minus old value) divided by old value times 100.

Limitations

Use the original value for change

  • For change, use the starting value as the denominator.
  • A 50% decrease followed by a 50% increase does not return to the original value.
  • Round money only at the final step when possible.

Before relying on the result

Negative and large percentages

Why can a percentage change be negative?

A negative result means the new value is lower than the original value.

Can the result be above 100%?

Yes. A part can be larger than its reference whole, and an increase can exceed 100%.