# Percentage Average Calculator

Written by:
PK

Below is a percentage average calculator, which will calculate the arithmetic mean of a list of percentages. Enter as many percentages as you like – with or without the percentage sign – and we'll tell you the average.

## What is the Percentage Average or Percentage Arithmetic Average?

The average (or the mean) of a set of percentages is a number that represents or summarizes the whole set. It's a measure of the central tendency of the percentages.

Most commonly, this type of average is actually the arithmetic mean (see our basic average calculator) – the number you get when adding all the numbers in a set then dividing by the number of numbers. That's the same method this tool takes – it adds up all the percentages you input, then divides.

Of course, there are other types of averages:

• Geometric mean – the average you get when multiplying n numbers in a set together then taking the set's nth root. For financial returns, look to this type.
• Harmonic mean – the average you get when dividing the length of a set of (non-zero) numbers by the sum of their reciprocals. This is how you compute average speed, and is useful in a few other fields.

There are plenty more means, but that'll give you a couple to play with on your visit here today. Enjoy!

## Formula for Percentage Arithmetic Average

The formula for the arithmetic average of a set of percentages is:

average = \frac{a_1\%+a_2\%+...+a_{n-1}\%+a_n\%}{n}

Written as a series, it is:

average=\frac{1}{n}\sum_{i-1}^{n} a_i\%

Stated another way: add up every number in a set, then divide by the number of numbers in the set. Let's work through an example together.

### Example Percentage Average Calculation

Let's say you want to take the average of 4 percentages: 10%, 6%, 27%, and 103%. Here's how it works:

\frac{10\%+6\%+27\%+103\%}{4}=\\\frac{146\%}{4}=36.5\%

## Using the Percentage Average Calculator

In the text box at the top, enter a list of percentages to average. Use the whole number percentage, as in "6%" not the number ".06".

When happy, simply hit the Compute Average button below and DQYDJ will find the arithmetic average of the percentages.

Try one of these percentage tools next:

### PK

PK started DQYDJ in 2009 to research and discuss finance and investing and help answer financial questions. He's expanded DQYDJ to build visualizations, calculators, and interactive tools.

PK is in his mid-30s and works and lives in the Bay Area with his wife, two kids, and dog.

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