Percentage increase/decrease calculator

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Percentage increase/decrease:		%
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Initial amount:
Percentage increase/decrease:	%
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Absolute difference:
Final amount:
Calculation:

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Percentage increase/decrease calculation

The percentage increase/decrease from old value (V_old) to new value (V_new) is equal to the old and new values difference divided by the old value times 100%:

percentage increase/decrease = (V_new - V_old) / V_old × 100%

Example #1

Price percentage increase from old value of $1000 to new value of $1200 is caluclated by:

percentage increase = ($1200 - $1000) / $1000 × 100%

 = 0.2 × 100% = 20%

Example #2

Price percentage decrease from old value of $1000 to new value of $800 is caluclated by:

percentage decrease = ($800 - $1000) / $1000 × 100%

 = -0.2 × 100% = -20%

Difference and final value calculation

The difference d is equal to the initial value V₀ times the percentage increase/decrease p divided by 100:

d = V₀ × p / 100

The final value V₁ is equal to the initial value V₀ plus the difference d:

V₁ = V₀ + d

 

Percentage calculator ►

 

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Percentage Increase/Decrease

The Percentage increase/decrease Calculator finds the increase/ decrease from one value to another in terms of a percentage.Enter starting value and final value to find percentage increase and decrease.

Percentage increase/decrease calculation

The percentage increase/decrease from old value (Vold) to new value (Vnew) is equal to the old and new values difference divided by the old value times 100%:

percentage increase/decrease = (Vnew - Vold) / Vold × 100%

Example 1

Price percentage increase from old value of $1000 to new value of $1200 is caluclated by:

percentage increase = ($1200 - $1000) / $1000 × 100%

= 0.2 × 100% = 20%

Example 2

Price percentage decrease from old value of $1000 to new value of $800 is caluclated by:

percentage decrease = ($800 - $1000) / $1000 × 100%

= -0.2 × 100% = -20%

Difference and final value calculation

The difference d is equal to the initial value V0 times the percentage increase/decrease p divided by 100:

d = V0 × p / 100

The final value V1 is equal to the initial value V0 plus the difference d:

V1 = V0 + d

How to calculate percent increase

The concept of percent increase is basically the amount of increase from the original number to the final number in terms of 100 parts of the original. An increase of 5 percent would indicate that, if you split the original value into 100 parts, that value has increases by an additional 5 parts. So if the original value increased by 14 percent, the value would increase by 14 for every 100 units, 28 by every 200 units and so on.

Percent increase formula

The percent increase formula is as follows:

Percent increase = [(new value - original value)/original value] * 100

An example using the formula is as follows. Suppose a $1,250 investment increased in value to $1,445 dollars in one year. What is the percent increase of the investment? To answer this, us the following steps:

Identify the original value and the new value.

Input the values into the formula.

Subtract the original value from the new value, then divide the result by the original value.

Multiply the result by 100. The answer is the percent increase.

Check your answer using the percentage increase calculator.

Working out the problem by hand we get:

[(1,445 - 1,250)/1,250] * 100

(195/1,250) * 100

0.156 * 100

15.6 percent increase.

The percentage growth calculator is a great tool to check simple problems. It can even be used to solve more complex problems that involve percent increase.

Calculating percent decrease

If you want to know how to calculate percent decrease, we follow a very similar process as percent increase. Notice the slight modification of the formula:

Percent decrease = [(original value - new value)/original value] * 100

Suppose we have the same investment value after one year of $1,445. A year later the value decreased to $1,300. The percent decrease would be calculated as follows:

[(1,445 - 1,300)/1,445] * 100

(145/1,445) * 100

0.10 * 100 = 10 percent decrease