Percentage Change

CALCULATOR

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Percentage Change Calculator

Initial

=

DecFrac

Final

=

DecFrac

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INTRO

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Some of us have dreams of becoming social media influencers...

...and percentage change can help us understand why continuing to grow the number of followers is a lot harder than it seems.

Percentage change tells us how much the value of something changes relative to its initial value.

Imagine there are two different Instagram accounts: @almostfunlearning has $10$ followers, and @brain has $10, 000$ followers. Overnight they both gain $10$ followers.

10,000

Technically, both users have experienced the same total change in followers (

+ 50

); however, @almostfunlearning has a significantly larger relative change to the start (percentage change) in followers!

To calculate percentage change we divide the change by the initial value, and multiply it by

100

percent change = \frac{change}{initial value} \times 100 = \frac{final value - initial value}{initial value} \times 100

@almostfunlearning@brain

percent change = \frac{1 0}{1 0} \times 100 = 100 %

percent change = \frac{1 0}{1 0 0 0 0} \times 100 = 0.1 %

Visit our lesson on

Percent Increase and Percent Decrease

to learn more!

Check out our

Calculator

or explore our

Lesson

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Practice

sections to learn more about converting fractions to decimals and test your understanding.

You can also use the Quick Links menu on the left to jump to a section of your choice.

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KEY STEPS

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How to Calculate Percentage Change

Step 1. Identify the initial value and the final value.

The initial value is the starting value and the final value is the ending value. It's important that we identify these correctly.

Step 2. Calculate the change.

The change is the final value minus the initial value.

change = final value - initial value

Step 3. Calculate the change relative to the initial value.

Divide the change by the initial value. This tells us how significant of a change it is.

relative change = \frac{change}{initial value}

Step 4. Convert the relative change to a percentage.

Multiply by

100

by moving the decimal point two places to the right, and then add a percent sign.

percent change = (relative change \times 100) %

Putting it all together, the full equation for percentage change is:

percent change = (\frac{final value - initial value}{initial value} \times 100) %

LESSON

— Calculating Percentage Change

PRACTICE

— Calculating Percentage Change

CONCLUSION

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Percentage Change