Average Percentage Calculator

What is a percentage?

A number is a percentage when compared to 100% as a whole. One out of ten, for instance, would be 10%. Simply put, percentages are ratios or proportions expressed as a number out of 100.

Average of Percentages Formula

To determine the average of a group of percentages, use the formula below.

Average of percentages \( = \dfrac{X_1 + X_2 + X…}{N} \)

Where,
\( X_1 \), \( X_2 \), and \( X \) are the percentages of each value.
N represents the total number of values

How to Average Percentages

1. Add up all of the percentages first.
2. To get one value, add up all the percentages.
3. Tally the values.
4. This represents all possible values.
5. Determine the average. To find the average, input the data into the formula above.

Let’s say we asked a thousand folks if they could swim. There were 200 youngsters, 350 adults between the ages of 20 and 49, and 450 seniors. 64% of the first group claimed to be able to swim. It was 42% in the second and 36% in the third. Let’s figure out how to estimate the average proportion of swimmers among the 1000 individuals in our sample.

Let’s first examine how simple the work is with the help of the average percentage calculator. Going back to our example, we enter the following:

Ages 16 to 19: 64%, 200

20 to 45: 42%, 350

46 and older: 36%, 450

The average % calculator will output the result below along with the intermediate steps once you enter the final figure.

Common-Size Percentages

Any number on a company’s financial accounts that are expressed as a percentage of a base is referred to as the Common Size Percentage.

Common-size percentages calculations

Common-size percentages are calculated using the formula: \( \dfrac{Amount}{Base \space Amount} × 100 \)

Examples

Example 1: A teacher takes a quiz for physics from 10 students. Students get 20%, 68%, 87%, 92%, 12%, 5%, 9%, 10%, 78% and 30% marks. What will be the average passing percentage of 10 students?

Now here we have a total of 10 percentages, and to find the average percentage we need to add all percentages and then divide it by the total (which is 10).

\( = \dfrac{20 + 68 + 87 + 92 + 12 + 5 + 9 + 10 + 78 + 30}{10} \)

\( = \dfrac{411}{10} \)

\( = 41.1 \)

The average passing percentage of students is 41.1%.

Example 2: In the last 4 months, a businessman got a profit of 40%, 30%, 80%, and 68%. What is the average percentage of his profit according to the last 4 months?

Now here we have the result of the last 4 months’ profit, and to calculate the average profit we need to add all the profit percentages and divide by 4.

\( = \dfrac{40 + 30 + 80 + 68}{4} \)

\( = \dfrac{218}{4} \)

\( = 54.5 \)

The average profit of businessmen is 54.5%.

Do you know, we can find when businessman got a double profit. Check doubling time calculator.

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