Percent Equation Method

The Percent Equation Method is a straightforward approach where we use the equation: Part = Percent × Whole

This method is useful when you’re given a percent, either the part or the whole, and need to find the missing value. It allows us to apply multiplication to solve the problem directly. The key idea in this method is to use the word “of” as “times” to express the relationship between the part, percent, and whole.

Where: 

• Part is the value you’re trying to find or the result of applying the percentage.

• Percent is the percentage in decimal form.

• Whole is the total or full amount.

This method is especially useful when you are given the percent and either the part or the whole and need to find the missing value.

Steps for Using the Percent Equation Method:

1. Write the equation: Start by writing the equation Part = Percent × Whole.

2. Convert the percentage to a decimal:
   Since percentages are out of 100, convert the percent to a decimal by dividing it by 100. For example, 25% becomes 0.25 (i.e., 25 ÷ 100).

3. Substitute the known values into the equation:
   Put the known values into the equation. For example, if you know that 18 is 25% of some number, write the equation as: 18=0.25×18  where x is the unknown value you need to find.

4. Solve for the unknown value: To find x, isolate it by dividing both sides of the equation by the coefficient in front of x. For example:  x=18/0.25=72

So, 18 is 25% of 72.