How to Determine by What Percentage One Number Is Greater Than Another

How to Determine by What Percentage One Number Is Greater Than Another

To find out by what percentage one number is greater than another, a clear mathematical formula is used. This calculation shows the relative difference between two values in percentages. For example, it is necessary to compare the price of a product before and after an increase or planned and actual performance indicators.

Formula for Calculating the Percentage Difference

The main formula for calculation looks like this:

((Greater number - Smaller number) / Smaller number) * 100%

The formula allows you to accurately determine by what percentage one number is greater than another. The first step is always to find the absolute difference between the numbers, and then calculate its percentage relationship to the smaller number.

Practical Calculation Example

• Let's assume the new value is 120 and the old one is 100. The calculation will be as follows: (120 - 100) / 100 * 100% = 20%. This means that the number 120 is 20% greater than the number 100.
• If the greater number is 150 and the smaller one is 125: (150 - 125) / 125 * 100% = 20%.