Sunday, February 5, 2012

How do you calculate the percentage of the difference between two numbers?

For example: a candy bar cost $.60 last year; now it is $.65. The cost of a candy bar has gone up x percent. What is the formula for that calculation?How do you calculate the percentage of the difference between two numbers?
the expression of the percent increase is:



100* (the difference)/(the initial value)



in your example that would be



100 * (.05)/(.65) =%26gt; 7.69%



The division is multiplied by 100 to make it into perent form.



That candybar has gone up about 8%.
0.65/0.60= 1.08

1.08 x 100= 108%

thus, an 8% increase



or

the difference between 0.60 and 0.65 is 0.05



0.05/0.60= 0.08

0.08 x 100= 8 % increase



A percentage is really nothing more than a ratio based on 100 units of something. That way everyone knows that an 8 % increase means that if you paid 1.00 for something yesterday, you'll pay 1.08 for it today. Or, $0.60 yesterday means $0.65 today because of an 8% increase in cost.How do you calculate the percentage of the difference between two numbers?
(old value-new value)/old value



Multiply this by 100 to make it a percent



In other words, you calculate the difference, and find out what percent of the old value that difference is.
The usual answer is to divide the difference (5 cents) by the original amount (60 cents).



The tricky thing about that is that if you go up by 5 percent and then down by 5 percent, you don't end up where you started.



Sometimes, in science, we measure a percent difference as the difference over the average of the two measurements. If the two measurements are close, this barely makes a difference.



I think the answer you want for general everyday use is the first one.How do you calculate the percentage of the difference between two numbers?
The formula is



(amount of increase) over (original amount) = x over 100
the formula would be the change in price divided by the old price. This gives you the percentage increase in the cost.

.65-.60/.60 = 8.3%

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