![]() While for Artist Z, the company produced 750 albums and sold 65% of them. For Artist Y, the company produced 1,000 albums and sold 80% of them. Below are examples of how to calculate average percentage: Example 1Ĭompany ABC wants to find out the average percentage of how many albums they sold from two of their signed artists in 2020. Related: How to calculate variable cost (with components and examples) Examples of calculating average percentagesĬalculating average percentages may seem easy at first, but it becomes complicated when working with real-life situations that require determining the average of two or more percentage variables. For instance, if at an educational institution, the percentage of students who elected to study physics was 40% and the percentage of students who opted for chemistry is 80%, the average percentage is 64%. Depending on the dataset, this number maybe two, three or even more. The average percentage is the mean value of a set of percentages, which is a number that summarises or represents the whole set. Related: How to calculate percentages: a comprehensive guide What is the average percentage? Therefore, the average percentage of 18% of 100 and 20% of 150 is 19.2%. To get the average percentage, multiply this decimal by 100, which is 0.192 x 100, equalling 19.2. This means dividing 250 by 48 to give you 0.192. Still using our example, determine the average percentage of these two percentages by dividing the sum of the two percentage numbers by the total number of the two sample sizes. ![]() This means adding 100 to 150 to give you 250. The next step is to add up the total items of each category, that is, the sample sizes for each percentage. Using our example, that gives you 18 plus 30, which totals 48. Moving forward, you add the two numbers derived from the last step together. Add the numbers and sample sizes together Related: 14 of the best-paid jobs in finance 3. If you are still working with our task in the first step, then you would multiply 0.18 by 100 and 0.2 by 150 to get a total of 18 and 30. To get the number of items, each percentage represents, simply multiply each decimal by the total number of items in the sample. The next step after converting percentages to decimals is to determine the number each of the decimals represents. Find the number that each decimal represents This gives you 0.18 and 0.2 decimals, respectively. For instance, where you have a task of determining the average of 18% of 100 and 20% of 150, you can convert the two percentages into decimals by simply dividing them by 100. To convert it, you divide each percentage by 100. This method is better because it's simpler to input the numbers into a calculator when it's in decimal form. To make your calculation easier, the first step is to convert the percentage you want to average into decimals. Below is a step-by-step guide on how to calculate this: 1. 'Sample sizes' in the above formula represent the total number of items found in each category. You then repeat this same step for 'percentage two' to determine its decimal value. ![]() You can get this figure by converting the percentage to decimal and then multiplying the decimal by the given sample size. In the above formula, 'percentage one' means the decimal value of the percentage you obtained from the sample size. The formula for calculating average percentage is: Related: Analytical skills: definition and examples How to calculate average percentageīy figuring out how to calculate average percentage, there are several factors to take into consideration, such as first calculating the real numbers the percentage represents. In this article, we learn what average percentage is, how to calculate it and review its formula and hypothetical examples to aid your understanding. To correctly calculate the average percentage, your calculations may sometimes include other factors, such as sample size and base number. This can sometimes be a complicated concept, especially in cases where each percentage represents a different number. Calculating the average percentage is more than simply adding numbers and dividing them by the number of percentages used.
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