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

[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? :/

Thanks in advance.

 

[Greg]

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?

 

[riffwraith]

Thank you! :)

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

That correct?

 

[MarkFL]

Thank you! :)

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

That correct?

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

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

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

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?

 

[Wilmer]

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 :)

 

[riffwraith]

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.

 

[tkhunny]

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.