Ctrl+k

Interpret percent as per hundred

Percent denotes a ratio to 100: x%x\% means xx out of 100, or x100\frac{x}{100}, and can be represented by an equivalent decimal (for example, 25%=25100=0.2525\%=\frac{25}{100}=0.25). The learner interprets a percent as a part of a specified whole, connects benchmark percentages such as 1%, 10%, 25%, and 50% to quantities, and distinguishes the percent from the amount it describes; percentages greater than 100% and more advanced applications are outside this scope.

Detailed Explanation: Interpret percent as per hundred

A percent tells how many parts there are out of 100. The word percent means “per hundred.”

For example:

25%=25100=0.2525\%=\frac{25}{100}=0.25

This means 25 parts out of every 100 parts, or one-fourth of a whole.

Example: A class has 40 students. (25%)(25\%) of the students walk to school. How many students walk?

  1. Identify the whole: the whole is 40 students.

  2. Interpret the percent:

25%=25100=0.25 25\%=\frac{25}{100}=0.25
  1. Find (25%)(25\%) of 40:

0.25×40=10 0.25\times 40=10
  1. State the answer with units: 10 students walk to school.

Remember, (25%)(25\%) is the rate or part out of 100. The 10 students is the amount that the percent describes.

Learn by doing: Interpret percent as per hundred

Click a topic below to practice the foundational skills you'll need, learn the steps, or master this skill

Practice with unlimited practice problems

Percents to Decimals - Standard


    ?