Calculate percentage saved between two numbers?

Question

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.

Answer 1

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

For example:

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

Answer 2

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;
}

Answer 3

This is function with inverted option

It will return:

• 'change' - string that you can use for css class in your template
• 'result' - plain result
• 'formatted' - formatted result

---

function getPercentageChange( $oldNumber , $newNumber , $format = true , $invert = false ){

    $value      = $newNumber - $oldNumber;

    $change     = '';
    $sign       = '';

    $result     = 0.00;

    if ( $invert ) {
         if ( $value > 0 ) {
        //  going UP
            $change             = 'up';
            $sign               = '+';
            if ( $oldNumber > 0 ) {
                $result         = ($newNumber / $oldNumber) * 100;
            } else {
                $result     = 100.00;
            }

        }elseif ( $value < 0 ) {        
        //  going DOWN
            $change             = 'down';
            //$value                = abs($value);
            $result             = ($oldNumber / $newNumber) * 100;
            $result             = abs($result);
            $sign               = '-';

        }else {
        //  no changes
        }

    }else{

        if ( $newNumber > $oldNumber ) {

            //  increase
            $change             = 'up';

            if ( $oldNumber > 0 ) {

                $result = ( ( $newNumber / $oldNumber ) - 1 )* 100;

            }else{
                $result = 100.00;
            }

            $sign               = '+';

        }elseif ( $oldNumber > $newNumber ) {

            //  decrease
            $change             = 'down';

            if ( $oldNumber > 0 ) {

                $result = ( ( $newNumber / $oldNumber ) - 1 )* 100;

            } else {
                $result = 100.00;
            }

            $sign               = '-';

        }else{

            //  no change

        }

        $result = abs($result);

    }

    $result_formatted       = number_format($result, 2);

    if ( $invert ) {
        if ( $change == 'up' ) {
            $change = 'down';
        }elseif ( $change == 'down' ) {
            $change = 'up';
        }else{
            //
        }

        if ( $sign == '+' ) {
            $sign = '-';
        }elseif ( $sign == '-' ) {
            $sign = '+';
        }else{
            //
        }
    }
    if ( $format ) {
        $formatted          = '<span class="going '.$change.'">'.$sign.''.$result_formatted.' %</span>';
    } else{
        $formatted          = $result_formatted;
    }

    return array( 'change' => $change , 'result' => $result , 'formatted' => $formatted );
}

Answer 4

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

Answer 5

100% - discounted price / full price

Answer 6

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