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Percent conversion is the process of converting a percentage to its decimal form. This is fundamental when dealing with percent equations because mathematical operations are performed more efficiently with decimals.
To convert a percentage to a decimal, you simply divide by 100. For example, converting 225% means: \ \[ 225\% = \frac{225}{100} = 2.25 \] This conversion allows us to use the number 2.25 in subsequent algebraic steps to solve the problem.
Practicing percent conversion will enhance your ability to solve various types of math problems that involve percentages.

Basic algebra involves understanding and using symbols and variables to represent numbers and operations. In the context of percent equations:

• We often deal with unknown variables that we need to solve for.
• This example has an unknown 'base' which we find through substitution and solving.

By converting the percentage to a decimal, we can then set up a simple algebraic equation. For the given problem, the setup is: \[ 2.25 \times \text{base} = 18 \] Using basic algebraic techniques, we isolate the variable (in this case, the base) by performing the same operation on both sides of the equation, giving us: \[ \text{base} = \frac{18}{2.25} = 8 \]
This is a practical application of basic algebra skills.

Mathematical equations are statements that assert the equality of two expressions. They are the foundation of solving many problems, including those involving percentages.
The format \[ \text{percent} \times \text{base} = \text{part} \] is a classic example of using equations to find an unknown. By substituting known values and solving for the unknown, we practice forming and manipulating equations.
In our exercise, the equation formed was \[ 2.25 \times \text{base} = 18 \] Here, we aim to isolate the 'base' to find its value, which we achieve by dividing both sides by 2.25: \[ \text{base} = \frac{18}{2.25} = 8 \]
By mastering equations, we can apply similar processes to solve a wide range of mathematical problems.