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Percent Error Calculator



Table of Content


Introduction to Percent Error calculator

Many people struggle with the errors in the calculation by not getting the desired results. While calculating, there are chances that the results may vary. Certain factors lead a calculation towards error. Error can be system generated or humanly created.

To make the struggle easy calculatored has made percentage error calculator. This tool is designed to identify the percent errors from the true values and observed values online. Calculating percent error is difficult and hectic. So just enter the asked values in the functionality bar and get the percent error within seconds.

What is percent error?

Error percentage is the difference between approximate values and exact values to the percentage of the exact value. Percentage error formula is used for calculating percent error.

How to calculate Percent Error step by step manually?

To calculate percent difference or percentage error, you need to follow these steps

  • First of calculating the error by subtracting one value from others and ignore any minus sign
  • We get decimal number by dividing the error by the exact value
  • Convert the results into a percentage by multiplying by 100 and adding a “100%” sign

How to calculate percent error by using Percent Error equation?

Imagine 70 people would turn up to the concert, but 80 did. We have to find the percentage error using the percent error formula.

We'll find the approximate value alongside exact value in a given case. In the example which is 70 and 80 respectively.

Approximate Value: The value is based on informed knowledge and closest to the exact value.

Exact Value: The Value which cannot be estimated, it must be precised. In some cases, the actual value to which an approximate value is going to be compared is also called exact value.

Now if we put approximate value and exact value in the given formula for percent error

|70-80| / |80| x 100% = 12.5%

So you were in error by 12.5%

Example 2: You need to evaluate that a car park held 240 cars, but it only counted 200 parking spaces available. Find the percent error using the percent error formula.

(|240-200| / |200|) x 100% = 20%

The parking space had a 20% error.

How to calculate percent error using percentage error calculator online?

Calculating in manual way is a direct approach which is difficult and there are more chances that you will make mistake, you should calculate or find percent error or percentage error by using average percent error calculator. This tool will save your time and efforts. In this error percent calculator you only have to give values which are observed values and true value and you will get your answer.

Formula used in percent error formula calculator

As per the definition, the percentage error formula is all about comparing approximate value to the exact value. So keeping this fact in front,

The formula used in percent error formula calculator is,

(|Approximate Value- Exact Value| / |Exact Value|) x 100% 

(The “|” symbols mean absolute value, so negative becomes positive)

How to use Percent Error Calculator?

Using our percentage error calculator is very simple. You only need to put true value and observed values (The name of values can be varied, but the actual meaning remains the same) and then click on the results.

You will get your results within a few seconds without any errors or omissions. Our tool is free of cost usage with efficient and swift results.

Benefits of using percent error calculator

Percent error calculator can be used in many things. Many people think that it is only used in scientific experiments but it's not true.

Percent error can be used in your calculations where you have exact value but the observed value is different such as in return on assets reports or sales tax report.

Related: Find the best factorial series calculator on this web portal.


Can Percent Error be negative?

Percentage error can be either negative or positive. The error will be negative only if the experimental value is less than the accepted value. The error will be positive if the experimental value is larger than the accepted value.

Can we calculate Percent Error without Absolute Value?

Yes, We can calculate percentage error without having absolute value. Absolute value can be skipped, in case to find value in either positive or negative.The formula is

(Approximate Value - Exact Value / Exact Value) x 100%

What are Theoretical Value and Observed Value in Percent Error Formula?

Well, you will find on many places theoretical values and observed values for the exact values and approximate values, respectively. The concept of theoretical and observed values is the same, but it is mostly used to calculate the percent error for physics formulas.

We hope you liked our tool!! Calculatored provides tons of free tools such as absolute value equation calculator.

Please provide your valuable feedback below. Best of luck with your learning.

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Shaun Murphy

Last updated: September 09, 2020

I'm graduated in biomedical and electrical engineering. Specialization in sports and medical topics but will gladly tackle everything you throw at him. He is a sailor, hiker, and motorcyclist in his free time.

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