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Percentage Change Calculator
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Percentage Change Calculator
Percentage Change Calculator is used to find the increasing or decreasing of percentage between two values. The percentage change calculator provides a step-by-step solution.
What is the percentage change?
Percentage change mean is a measure of the relative difference between two values indicated as a percentage. It represents the difference between a final value and an initial value (two values at different points in time) in terms of a percentage of the initial value.
Formula of percentage change
Percentage Change = [(Final value – Initial value)/ initial value] x 100
If,
- Final value = V2
- Initial Value = V1
The formula of Percentage Change becomes.
Percentage Change = [(V2 – V1)/ V1] x 100
Note:
A negative sign of the percentage change value shows that the percentage decreases between the two values and a Positive sign shows the percentage increases between the two values.
How to calculate percentage change?
In this section, we discussed examples of the percentage change.
Example 1:
If the final value is 2000 and the initial value is 1500 then find the percentage change.
Solution:
Step 1: Write the data.
V2 = 2000, V1 = 1500,
Percentage Change =?
Step 2: Write the Formula of Percentage Change.
Percentage Change = [(V2 – V1)/ V1] x 100
Step 3: Put the values in the above formula and simplify.
V2 = 2000, V1 = 1500
= [(2000 – 1500)/ 1500] x 100
= [500/ 1500] x 100
= 0.33 x 100
= 33.00 %
Percentage Change = 33.00 % (increases)
Example 2:
If a city's population increases from 100,000 to 120,000, then find the increases percentage change.
Solution:
Step 1: Write the data.
V2 = 120000, V1 = 100000
Percentage Change =?
Step 2: Write the Formula of Percentage Change.
Percentage Change = [(V2 – V1)/ V1] x 100
Step 3: Put the values in the above formula and simplify.
V2 = 120000, V1 = 100000
= [(120000 – 100000)/ 100000] x 100
= [20000 / 100000] x 100
= 0.20 x 100
= 20 %
Percentage Change = 20 % (Increases)
Some more results
Here are a few results of the percentage change
|
Final Value (V2) |
Initial Value (V1) |
Percentage Change |
|
15 |
12 |
25.00 % increase |
|
12 |
15 |
-20.00 % decrease |
|
154 |
133 |
16.00 % increase |
|
167 |
189 |
16.00 % increase |
|
15800 |
18990 |
-17.00 % decrease |
|
15823 |
18976 |
-17.00 % decrease |
|
15678 |
14567 |
8.00 % increase |
|
15988 |
16789 |
-5.00 % decrease |