Before we continue, note that "percent increase from 43 to 78" is the same as "the percentage increase from 43 to 78". Furthermore, we will refer to 43 as the initial value and 78 as the final value.
So what exactly are we calculating? The initial value is 43, and then a percent is used to increase the initial value to the final value of 78. We want to calculate what that percent is!
Here are step-by-step instructions showing you how to calculate the percent increase from 43 to 78.
First, we calculate the amount of increase from 43 to 78 by subtracting the initial value from the final value, like this:
78 - 43
= 35
To calculate the percent of any number, you multiply the value (n) by the percent (p) and then divide the product by 100 to get the answer, like this:
(n × p) / 100 = Answer
In our case, we know that the initial value (n) is 43 and that the answer (amount of increase) is 35 to get the final value of 78. Therefore, we fill in what we know in the equation above to get the following equation:
(43 × p) / 100 = 35
Next, we solve the equation above for percent (p) by first multiplying each side by 100 and then dividing both sides by 43 to get percent (p):
(43 × p) / 100 = 35
((43 × p) / 100) × 100 = 35 × 100
43p = 3500
43p / 43 = 3500 / 43
p = 81.3953488372093
Percent Increase ≈ 81.3953
That's all there is to it! The percentage increase from 43 to 78 is 81.3953%. In other words, if you take 81.3953% of 43 and add it to 43, then the sum will be 78.
The step-by-step instructions above were made so we could clearly explain exactly what a percent increase from 43 to 78 means. For future reference, you can use the following percent increase formula to calculate percent increases:
((f - n)/n) × 100 = p
f = Final Value
n = Initial Value
p = Percent Increase
Once again, here is the math and the answer to calculate the percent increase from 43 to 78 using the percent increase formula above:
((f - n)/n) × 100
= ((78 - 43)/43) × 100
= (35/43) × 100
= 0.813953488372093 × 100
≈ 81.3953
