Percentage, in regards to numeric value, is defined as part of a whole and is expressed in hundredths. For instance, the percentage of 25 out of 100 is calculated by dividing 25 by 100. The result, which is .25, is represented as the value of 25 percent. You can use two methods to calculate the percentage difference between two numbers, whether it is an increase or decrease.
Instructions
Method 1
1. Divide the larger number by the smaller number. For instance, to find the percentage increase from 22 to 57, the first step is to divide 57 by 22. The answer for "57 / 22" is 2.591 (the actual answer is 2.5909090909, but for illustrative purposes, the answer will be rounded).
2. Multiply the answer by 100 (or move the decimal point two places to the right). For instance, the answer for "2.591 x 100" is "259.1."
3. Subtract 100 from the result to show the percentage increase from the smallest number to the largest. The subtraction of the value of 100 is the representation of the whole numeric value for 22, or 100 percent. Because you are looking for the increase, you must subtract the original whole numeric value of 22 (or 100 percent -- which is represented by subtracting 100) to find the value of the increase. For instance, the answer for "259.1 - 100" is "159.1", making the percentage increase from 22 to 57 an increase of 159.1 percent.
Method 2
4. Subtract the smaller number from the larger number to find the difference. For instance, to find the percentage increase from 22 to 57, the first step is to subtract 22 from 57. The answer for "57 - 22" is "35."
5. Divide the difference between the two numbers (35) by the first of the two original numbers (22). For instance, to find the percentage increase from 22 to 57, divide 35 by 22. The answer for "35 / 22" is "1.59."
6. Multiply the answer by 100 (or move the decimal point two places to the right). For instance, the answer for "1.591 x 100" is "159.1." The percentage increase from 22 to 57 is 159 percent.
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