 Online Calculators

# Percentage Difference Calculator

Percentage Difference Calculator
$\dfrac{|V_1-V_2|}{\left[\dfrac{(V_1+V_2)}{2}\right]}\times100 = \; ?$
Difference between V1 and V2

## Calculator Use

The Percentage Difference Calculator (% difference calculator) will find the percent difference between two positive numbers greater than 0. Percentage difference is usually calculated when you want to know the difference in percentage between two numbers. For this calculator, the order of the numbers does not matter as we are simply dividing the difference between two numbers by the average of the two numbers. To calculate the difference relatively, from an old number to a new number, you would calculate percentage change.

Related calculations can be done with Percentage Calculator, Percentage Change Calculator and conversions can be solved with Decimal to Percent, Percent to Decimal, Fraction to Percent, or Percent to Fraction.

### Percentage Difference Formula:

Percentage difference equals the absolute value of the change in value, divided by the average of the 2 numbers, all multiplied by 100. We then append the percent sign, %, to designate the % difference.

$$\text{Percentage Difference}$$
$$= \dfrac{|\Delta V|}{\left[\dfrac{\Sigma V}{2}\right]} \times 100$$
$$= \dfrac{|V_1-V_2|}{\left[\dfrac{(V_1+V_2)}{2}\right]}\times100$$

For example, how to calculate the percentage difference:

What is the percentage difference between 5 and 7?

Let V1 = 5 and V2 = 7 and plug numbers into our formula

$$\dfrac{|V_1-V_2|}{\left[\dfrac{(V_1+V_2)}{2}\right]}\times100$$
$$= \dfrac{|5-7|}{\left[\dfrac{(5+7)}{2}\right]}\times100$$
$$= \dfrac{|-2|}{\left[\dfrac{12}{2}\right]}\times100$$
$$= \dfrac{2}{6}\times100$$
$$= 0.333 \times 100 = 33.33\% \; \text{difference}$$

Note that if we let V1 = 7 and V2 = 5 we would still have a difference of 33.33% because we are calculating a difference between two numbers and not a change from one number to another, percentage change.

## References

Percent Difference Equations Formulas Calculator from AJ Design Software, last visited 22, Feb. 2011.

Wikipedia contributors. "Percent difference" Wikipedia, The Free Encyclopedia. Wikipedia, The Free Encyclopedia, last visited 18 Feb. 2011.

Cite this content, page or calculator as:

Furey, Edward "Percentage Difference Calculator" at https://www.calculatorsoup.com/calculators/algebra/percent-difference-calculator.php from CalculatorSoup, https://www.calculatorsoup.com - Online Calculators

Last updated: August 17, 2023