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What Is the Percentage Difference From X To Y + Solution with Free Steps
The percentage difference from X to Y is equivalent to Z. This solution may be calculated by multiplying the difference between Y and X (i.e. Y – X ) by 100 and then dividing the result by X.
Such a calculation can be used in scenarios where one wants to keep track of the increases or decreases in some quantity in terms of percentage. Consider a business’s revenue, for example. Now let us say that the revenue of a business in a particular year jumps from 100 million dollars to 150 million dollars and you want to gauge the difference. You can simply calculate the percentage difference, which comes out to be 50%. So you can say that there has been a 50% growth in the revenue year on year.
What Is the percentage difference from X to Y?
The percentage difference from X to Y equals Z. This answer is obtained through the multiplication of the difference Y – X by 100 and further division by X.
The same solution can also be obtained by multiplying only Y with 100 and then dividing it with X. Once we have this result, we subtract it from 100 to obtain the percentage difference.
How To Calculate percentage difference from X to Y?
You can find the percentage difference from X to Y by some simple mathematical steps explained below.
Step 1
Firstly, we find the difference of X and Y:
Difference of X and Y = Y – X
Step 2
Lets find the percentage difference of X and Y:
Percentage difference of X and Y = ( Y – X ) / [ X ( 100 / 100 ) ]
Step 3
Deploying the arithmetic simplification process:
Percentage difference of X and Y = 100 ( Y – X ) / [ X ( 1 / 100 ) ]
Since, 1/100 is equal to the %:
Percentage difference of X and Y = 100 ( Y – X ) / X %
The following figure shows the percentage difference from X to Y.
Figure 1: Pie Chart for percentage difference from X to Y
The orange region in the above figure depicts the percentage difference from X to Y (i.e. Y – X ). The whole area of this pie chart shows X. The green area shows the remaining portion, which is equal to 100 – [ (Y – X) % ].
The percentage difference is a scale from 0 to 100 that represents the increase or decrease in a certain physical quantity or a number as a percentage. In other words we can gauge the difference in terms of parts per hundred scale.
All the Mathematical drawings/images are created using GeoGebra.