In this case it is clear that we are looking for an increase change, so we are looking for the ratio between 40 and 30, which constitutes the fraction in our formula: What is the percent difference between the two prices." Take a look at the following simplified example: When asked to calculate a decrease in value use this formula and then multiply by (-1), or use the +\- sign in your calculator. From now on, when asked to calculate a percent increase in value, use the following formula: To speed up the calculation process, we shall use a different format of the above formula. How to Calculate % Changes Without the Calculator's % Function Thus, a percent increase means multiplying by numbers greater than one, and a percent decrease means multiplying by numbers that are smaller than one. Therefore, increasing a number by 1% means multiplying it by (1+0.01)= 1.01, and decreasing a number by 1% means multiplying it by (1-0.01)=0.99. Since a percent is actually a fraction, 1% can be written as 0.01. Many people find it easier to calculate percent changes using decimal numbers. This formula is sometimes elaborated to include the components of a fraction (nominator and denominator), but for our purposes the formula above is satisfactory. Therefore, 25% is merely another way of presenting 1/4. ![]() If we divide the equation by 100, we get: Let's take a look at the following example: If we decide to put 25 on the % side, we get the following equation: ![]() This formula allows us to alternate between fractions and their percent form. We truly hope you are familiar with the following percentage formula: (if not, it's good to have you with us).
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