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Percentage Change Calculator
To use percentage change calculator, enter the required values, and click calculate button
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 |
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