Free Mathematics tool

Percentage Calculator

Find a percentage of a value, determine what percentage one value is of another, or calculate percentage change.

Calculator

Calculate with Percentage

Result

Your result will appear here.

Formula

Formula and variables

P=r100×VP = \frac{r}{100} \times V
r
the percentage rate
V
the whole or reference value
P
the resulting part

Percent means per hundred, so a percentage rate is divided by 100 before it is multiplied by the reference value.

Domain note: The comparison whole cannot be zero. Percentage change also requires a nonzero original value.

How it works

How to use this calculator

  1. 1

    Choose the percentage question you want to answer.

  2. 2

    Enter the two labeled values.

  3. 3

    Press Calculate percentage.

  4. 4

    Read the result and the generated relationship statement.

Worked examples

A complete example

Problem: What is 18% of 250?

Substitution: (18 ÷ 100) × 250

Result: 0.18 × 250 = 45

Eighteen percent of 250 is 45.

Interpretation

Understand the result

A negative percentage change means a decrease; a positive percentage change means an increase. The displayed magnitude includes that direction label.

Common mistakes

  • Dividing by the part instead of the whole.
  • Using zero as the original value for percentage change.
  • Confusing percentage points with percent change.
FAQ

Frequently asked questions

What does percent mean?

Percent means per one hundred. For example, 18% equals 18/100, or 0.18.

Can a percentage be greater than 100%?

Yes. A percentage over 100% represents more than one complete whole.

How is percentage change calculated?

Subtract the original value from the new value, divide by the absolute original value, then multiply by 100.

References

References & technical sources

Keep calculating

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