Calculate percentage saved between two numbers?

I have two numbers, the first, is the original price, the second, is the discounted price.

I need to work out what percentage a user saves if they purchase at the second price.

example
25, 10 = 60%  
365, 165 = 55%

What I dont know is the formula to calculate this.


I know this is fairly old but I figured this was as good as any to put this. I found a post from yahoo with a good explanation:

Let's say you have two numbers, 40 and 30.  

  30/40*100 = 75.
  So 30 is 75% of 40.  

  40/30*100 = 133. 
  So 40 is 133% of 30. 

The percentage increase from 30 to 40 is:  
  (40-30)/30 * 100 = 33%  

The percentage decrease from 40 to 30 is:
  (40-30)/40 * 100 = 25%. 

These calculations hold true whatever your two numbers.

Original Post


((list price - actual price) / (list price)) * 100%

For example:

((25 - 10) / 25) * 100% = 60%

I see that this is a very old question, but this is how I calculate the percentage difference between 2 numbers:

(1 - (oldNumber / newNumber)) * 100

So, the percentage difference from 30 to 40 is:

(1 - (30/40)) * 100 = +25% (meaning, increase by 25%)

The percentage difference from 40 to 30 is:

(1 - (40/30)) * 100 = -33.33% (meaning, decrease by 33%)

In php, I use a function like this:

function calculatePercentage($oldFigure, $newFigure) {
        if (($oldFigure != 0) && ($newFigure != 0)) {
            $percentChange = (1 - $oldFigure / $newFigure) * 100;
        }
        else {
            $percentChange = null;
        }
        return $percentChange;
}

The formula would be (original - discounted)/original. i.e. (365-165)/365 = 0.5479...


    function calculatePercentage($oldFigure, $newFigure)
{
    $percentChange = (($oldFigure - $newFigure) / $oldFigure) * 100;
    return round(abs($percentChange));
}