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Introduction

QUICK LINKS


Introduction

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 followers, and @brain has followers. Overnight they both gain followers.

10
10,000
Technically, both users have experienced the same total change in followers (); 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 .
@almostfunlearning@brain

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CALCULATOR
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Percentage Change Calculator

Initial
Final
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.

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.

Step 4. Convert the relative change to a percentage.

Multiply by by moving the decimal point two places to the right, and then add a percent sign.
Putting it all together, the full equation for percentage change is:
LESSON
‚ÄĒ Calculating Percentage Change

Calculating Percentage Change

To calculate the percentage change, we use the following formula:

If the final value is the initial value, the percentage change will be positive.

Try it out yourself!

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1000
1000

Now, notice that when the change, or difference between the final value and the initial value, stays the same, the percentage change decreases as the initial value increases.

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10
20

This helps us understand why it takes so much work for an aspiring influencer to maintain a continuous growth in their social media following.

Kudos to the ones who make it. Shout out to the ones who try ūüėČūüĎĆ.

How do we solve for the final value and initial value of a percentage change?

Technically, we can use the same equation to solve for the final and initial values, but we find that using the following equation makes it a lot easier to do:

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Let’s check out some step-by-step examples of calculating percentage change!

EXAMPLE 1

Let's start by finding the percent change from to .

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.

Initial Value: Final Value:

EXAMPLE 2

Nice work! Now, let's try finding the percent change from to .

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.

Initial Value: Final Value:

EXAMPLE 3

Amazing! Last problem - let's find the percent change from to .

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.

Initial Value: Final Value:
Awesome! If you’d like to practice additional problems calculating the percent change, expand the
Practice
below before closing out this lesson! ‚ö°
PRACTICE
‚ÄĒ Calculating Percentage Change

Practice: Calculating Percent Change

Question 1 of 10: What is the percent change from to ?

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.

Initial:Final:

Step 2. Calculate the change.

The change is the final value minus the initial value.
change
final
initial

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

Step 4. Convert the relative change to a percentage.

Multiply by by moving the decimal point two places to the right, and then add a percent sign.
Awesome job! The percent change is  .

CONCLUSION
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Incredible job, look at you go! Thanks for checking out this lesson ‚ėļÔłŹūüôŹ. Where to next?
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