Average Percentage Calculator - Free Online Tool

The definition of percentage is the ratio of the number per 100 in the denominator. The symbol used to represent the percentage is %. For example, if a is the real number then the percentage of a is expressed as a% which is equal to a/100.

Do you think converting percentages to decimals is important? Yes, you’re right the calculation of average percentage can be easier after converting each percentage to its decimal form. It’s simple to convert into decimal, just divide the given number by 100 and the end result is in decimal form.

Here is the formula that can be used mostly to calculate the percentage averages. So, apply this formula to your complex problems and get the output manually and easily:

Average Percentage = [(Percentage 1 + percentage 2)/(sample size 1 + sample size 2)] x 100

Where

Percentage 1 = Decimal form of given percentage from sample size 1

Percentage 2 = Decimal form of given percentage from sample size 2

Solving the average of two or more percentages involved various steps compared with solving the average of two or more normal numbers. You have to consider all the things while determining the average percentage. For easy calculation, follow the simple steps given below and calculate the average percentage:

• Firstly, you have to convert the average into decimals if required for further calculations.
• Find the number that each decimal portrays. For this, you have to multiply the decimal by the total sample number.
• Now, sum up the numbers together.
• Next, sum the sample sizes together.
• Finally, calculate the average percentage by dividing the sum of total percentages by the sum of total sample sizes.

Do check the below modules and gain more knowledge about the concept practically. Also, use the percentagecalculator.guru average percentage calculator and avail the answer in no time.

Example 1: If a company is producing 400 products and sold 75% of them in the first category. Again, a company produces 500 products and 60% of them are sold. Let's find out the average percentage of products sold by the company.

Given data are 400 products and 500 products

75% and 60% percentages

Now, convert these two percentages into decimals;

we get; 75% in decimal is 0.75 and 60% in decimal is 0.60

In the next step, multiply the above decimals by total products;

ie., 0.75 times 400 is similar to 300.

0.06 times 500 is equal to 300.

Add these two percentages of products produced from each category

ie., 300+300 = 600

Now, add the total amount of products produced from each category

We get, 400+500 = 900

Finally, you can get the average percentage value by dividing the above results, and multiplying with 100.

Average Percentage = [(Percentage 1 + percentage 2)/(sample size 1 + sample size 2)] x 100

= 600 /900 x 100

= 66.66% after rounding 67%.

Therefore, the average percentage of products sold by the company is 67%.

1. How do you average multiple percentages?

By using the average percentage formula ie., [(Percentage 1 + percentage 2)/(sample size 1 + sample size 2)] x 100, you can easily average multiple percentages.

2. How do you calculate the average percentage with the same sample size?

To find the percentage averages for the same samples, you have to add the given percentages and divide them by the total number of samples. For example: If you have two percentages like 50% and 60%, then calculating the percentage averages is possible by 50% + 60%/2 = 110%/2 = 55%.

3. How do you average 3 percentages?

Make use of the average percentage calculator provided by the percentagecalculator.guru and easily average 3 percentages with detailed solutions. Also, learn the formula to calculate it with some worked-out example

4. What is the weighted average of percentages?

If we have entries a1, a2, a3, ..., an with respective weights w1, w2, w3, ..., wn, then the weighted average of percentages is equal to (a1 * w1 + a2 * w2 + a3 * w3 + ... + an * wn) / (w1 + w2 + w3 + ... + wn).