mathpi.netIn this class, we will answer the question: What is the percentage difference between 100 and 20. Then, there is a step by step detailed calculation of finding the percentage difference between 100 and 20 using the percentage difference formula.
Answer
Percentage Difference between 100 and 20 is 133.33%.
\( 133.33 \)%
Inputs
Step by Step Solution to Find Percentage Difference between 100 and 20
The formula to calculate the percentage difference between X and Y is
\( \left | \frac{X - Y}{ \left( \frac{X+Y}{2} \right) } \right| \times 100 \)
Given
\(X = 100\)
\(Y = 20\)
Substitute
Substituting \(X = 100\) and \(Y = 20\) in the percentage difference formula...
Percentage difference between \(X = 100\) and \(Y = 20\) is
\( = \left | \frac{X - Y}{ \left( \frac{X+Y}{2} \right) } \right| \times 100 \)
\( = \left | \frac{100 - 20}{ \left( \frac{100+20}{2} \right) } \right| \times 100 \)
\( = \left | \frac{80}{ \left( \frac{120}{2} \right) } \right| \times 100 \)
\( = \left | \frac{80}{60} \right| \times 100 \)
\( = \left | 1.3333 \right| \times 100 \)
\( = 1.3333 \times 100 \)
\( = 133.33 \)
Result
Therefore, percentage difference between 100 and 20 is
\( 133.33 \)%