**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.*