# Problems with Percentage: From 300 to 3,850 - what percentage increase is that?

• MHB
• riffwraith
In summary, the conversation discusses how to calculate percentage increases using different numbers and formulas. The conversation provides an example of increasing 300 by 1283% to get 3850 and asks for help with finding the percentage increase of 300 to 5000. The conversation also explains the concept of percentage as "per hundred" and offers a simple formula for calculating percentage increases.
riffwraith
Hi all. Hopefully this is in the right place.

I tried using an online percentage calculator, but it's not giving me the correct results, and was hoping someone here could help me.

From 300 to 3,850 - what percentage increase is that?

-and-

From 300 to 5,000 - what percentage increase is that?

Again, the online calcs I have tried aren't working properly, and I have no idea how to do this with a regular calculator. Is there a formula for this? :/

Hi riffwraith and welcome to MHB! :D

Dividing 3850 by 300 will give you the correct answer:

$$\frac{3850}{300}\approx12.83$$

Multiply the RHS by 100:

$$12.83\cdot100=1283$$

So $300$ increased by $1283\%$ is $3850$ (which is approximate due to rounding.)

Can you apply this to the second problem? Do you need any clarification?

Thank you! :)

Based on what I see - assuming I understand correctly - 300 increased by 1666% is 5000.

That correct?

riffwraith said:
Thank you! :)

Based on what I see - assuming I understand correctly - 300 increased by 1666% is 5000.

That correct?

$$\displaystyle 300+300\cdot\frac{1666}{100}=300(1+16.66)=300\cdot17.66=5298$$

Here, we have taken 300, and added 1666% of 300 to it. However if we multiply 300 by 5000/300 we will get 5000.

$$\displaystyle \frac{5000}{300}=\frac{5000}{3}\%=1666.\overline{6}\%$$

So, we can say 1666% of 300 is roughly 5000, but if we increase 300 by 1666% we will get a larger number, namely 5298. Do you see the difference?

https://percentagecalculator.net/

"percent" means "per hundred"
Simple example:
200 increases to 218: that's "9 per hundred", right?
Henceforth***:
200 * 1.09 = 218

***I went to French school (grades 1 - 8),
then to English school (grades 9 - 13);
I noticed that Mr Fraser (my English Lit teacher)
loved the word "henceforth", and used it often...
Soooo...I'd use it on tests and always got a pass mark :)

Last edited:
MarkFL said:
Do you see the difference?

I think - it seems as tho the final # you wind up with will vary depending upon which direction you go, and/or what the starting point is.

Cheers.

riffwraith said:
I think - it seems as tho the final # you wind up with will vary depending upon which direction you go, and/or what the starting point is.

Cheers.

300 + 1*300 = 2*300 = 600 -- Pretty obviously a 100% increase.

300 + 2*300 = 3*300 = 900 -- Pretty obviously a 200% increase.

300 + 3*300 = 4*300 = 1200 -- Pretty obviously a 300% increase.

300 + 4*300 = 5*300 = 1500 -- Pretty obviously a 400% increase.

Feel free to tear things apart and see how they work.

## 1. What is the formula for calculating percentage increase?

The formula for calculating percentage increase is: (new value - original value) / original value x 100.

## 2. How do you find the percentage increase from 300 to 3,850?

To find the percentage increase from 300 to 3,850, we first subtract the original value (300) from the new value (3,850), which gives us 3,550. Then, we divide that number by the original value (300) and multiply by 100. This gives us a percentage increase of 1,183.33%.

## 3. What is the difference between percentage increase and percentage points?

Percentage increase refers to the percentage change from the original value to the new value, while percentage points refer to the difference in percentage between two values. For example, a 10% increase from 50% to 60% is a 10 percentage point increase.

## 4. Can percentage increase be negative?

Yes, percentage increase can be negative. This occurs when the new value is smaller than the original value, resulting in a negative percentage change.

## 5. How can percentage increase be useful in real-life situations?

Percentage increase is a useful tool for analyzing changes in data over time. It can be used in many real-life situations, such as tracking stock market performance, measuring population growth, or calculating salary increases. It allows for easy comparison and understanding of changes in numerical values.

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