Percentage Difference Calculator

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\[ \dfrac{|V_1-V_2|}{\left[\dfrac{(V_1+V_2)}{2}\right]}\times100 = \; ?\]

Difference between V₁ and V₂

V₁ =

V₂ =

Answer:

= 40% difference

Solution:
Calculate percentage difference
between V₁ = 120 and V₂ = 180\[ \dfrac{|V_1-V_2|}{\left[\dfrac{(V_1+V_2)}{2}\right]}\times100 = \; ?\]\[ = \dfrac{|120 - 180|}{\left[\dfrac{(120 + 180)}{2}\right]} \times 100 \]\[ = \dfrac{|-60|}{\left[\dfrac{300}{2}\right]} \times 100 \]\[ = \dfrac{60}{150} \times 100 \]\[ = 0.4 \times 100 \]\[ = 40\% \; \text{difference} \]

Note: Percent Difference is NOT the same as
Percent Change from 120 to 180

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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.