A percent is a mathematical relationship between two quantities where one quantity is a particular portion of the other quantity. This relationship is always defined within the context of a certain number of parts out of 100 parts, where the first number is the percentage. You can determine what percent a quantity is of another quantity in two ways:

Notice that the proportion is actually the same thing as the algebraic expression. The only difference is that the *A*, or original quantity, switched to the other side of the equals sign by dividing into the *B*, which is the first step for the algebraic expression when *A* and *B* are known quantities. The variable *A* usually represents a larger number than the variable *B*.

Percentages can be represented as a number followed by the % sign, a fraction, or a decimal, but they all mean the same thing.

In order to increase or decrease a value by a percent, keep these formulas in mind:

Review this chart of percentages, decimals, and reduced fractions from 1% to 100%:

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