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 being out of 100. 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.
Percentages can be represented as a number followed by the % sign, a fraction, or a decimal, but they all mean the same thing.
One other method of solving percentage problems will involve you simply multiplying whichever value you have by the percentage represented as a decimal.
This method is often even easier than using either the Algebraic Expression or Proportion methods defined above.
Review this chart of percentages, decimals, and reduced fractions from 1% to 100%.
Answers to Practice Problems