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If we wish to find the percentage of increase in the price, we actually want to take the increase and divide it by the original price, then multiply by 100. We are in essence, wanting to know what we need to multiply the original price by to get the new price. If $p$ is the percentage increase, then we could state:Ok, well let's say that Save-a-Lot currently sells a 1 gallon jug of 2% milk for 2.99 but due to the rough economy, has to rise their price to 3.69 (Hypothetical situation). What is the percentage increase of the price?
What you could do, and what I do, is subtract the new price from the original price, (3.69-2.99= 0.70), and then divide that number by the new number (Which is 3.69) and multiply by 100 to get your percentage difference:
\(\displaystyle 3.69-2.99= 0.70\)
\(\displaystyle \frac{0.70}{3.69}= 0.18970.....\)
\(\displaystyle 0.18970....*100 = 18.970\) percent
We multiply by 100 because we are going from decimal to percentage form.
Does this make sense?
No need to delete your original comment...in fact it can be helpful as many people aren't sure with which quantity to divide the change by to find the percentage change.You are correct, I will delete my original comment so I don't provide false information. Sorry for this.![]()