Mathematics calculator

Percentage Calculator

Find percent of a number, percent change, and values after percentage increases or decreases.

Calculator

Enter values

Results update automatically as soon as enough values are available.

Math

Result

About this calculator

How it works

A percentage is a value expressed per hundred. This calculator handles common percentage questions such as what is 15% of 240, what percent change occurred from one value to another, and what a value becomes after a percentage increase or decrease.

Formulas

Formulas used

Percent of value

result = percent / 100 x value

Percent change

change = (new value - original value) / original value x 100

After increase

final value = value x (1 + percent / 100)

After decrease

final value = value x (1 - percent / 100)

Worked example

Example calculation

Percent of value

15% of 240 = 36

Percent change

200 to 250 is a 25% increase

Increase/decrease

Increasing 240 by 15% gives 276, while decreasing it by 15% gives 204

Guide

How to use this calculator

  1. Enter a percent and an “of value” to calculate a percentage of a number.
  2. Enter original and new values to calculate the percentage increase or decrease.
  3. Use the after-increase and after-decrease results for discounts, markups, growth, shrinkage, and tolerance checks.
  4. Check the sign of percent change: positive means increase, negative means decrease.

Reference

What the results mean

Percent of value

The portion of the entered value represented by the percentage.

Percent change

The relative increase or decrease from the original value to the new value.

Decimal multiplier

The percentage divided by 100, useful for spreadsheet and formula checks.

Value after change

The original value after applying the entered percentage increase or decrease.

Assumptions and limits

Before using the result

  • Percent means parts per hundred, so 15% is the same as 0.15.
  • Percent change requires a nonzero original value.
  • For discounts, taxes, tolerances, or engineering margins, confirm whether the percentage applies to the starting value or a later adjusted value.

FAQ

Percentage Calculator questions

How do I calculate a percentage of a number?

Divide the percent by 100, then multiply by the value. For example, 15% of 240 is 0.15 x 240 = 36.

How do I calculate percentage increase or decrease?

Subtract the original value from the new value, divide by the original value, then multiply by 100. A positive result is an increase and a negative result is a decrease.

What is the difference between percent and percentage points?

Percent is relative to a base value, while percentage points are an absolute difference between two percentages, such as 40% to 45% being a 5 percentage point increase.

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