Percent means "per hundred" and is used to express a number as a fraction of 100. It is denoted by the symbol "%". For example, 50% means 50 out of 100, or 50/100, which simplifies to 1/2.

To convert a percent to a decimal, divide by 100. For example, 25% as a decimal is 0.25 (25 ÷ 100 = 0.25).

To convert a decimal to a percent, multiply by 100 and add the "%" symbol. For example, 0.6 as a percent is 60% (0.6 × 100 = 60%).

To convert a fraction to a percent, first convert the fraction to a decimal, then convert the decimal to a percent. For example, the fraction 3/4 is 0.75 as a decimal, which is 75% as a percent.

To find the percent of a number, multiply the number by the percent written as a decimal. For example, to find 20% of 80, you would calculate 0.20 × 80 = 16.

To increase a number by a percent, add the percent of the original number to the original number. For example, to increase 50 by 20%, you would calculate 50 + 0.20 × 50 = 60.To decrease a number by a percent, subtract the percent of the original number from the original number. For example, to decrease 80 by 25%, you would calculate 80 - 0.25 × 80 = 60.

- What is a percent and how is it denoted?
- How do you convert a percent to a decimal and vice versa?
- How do you convert a fraction to a percent?
- How do you find the percent of a number?
- How do you increase a number by a percent?
- How do you decrease a number by a percent?

Practice converting between percents, decimals, and fractions, and solving problems involving finding the percent of a number and increasing or decreasing by a percent to strengthen your understanding of this topic.

Study GuideNumbers and percents Worksheet/Answer key

Numbers and percents Worksheet/Answer key

Numbers and percents Worksheet/Answer key

Numbers and percents

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Work flexibly with fractions, decimals, and percents to solve problems.

Understand and use ratios and proportions to represent quantitative relationships.

Compute fluently and make reasonable estimates.

Develop, analyze, and explain methods for solving problems involving proportions, such as scaling and finding equivalent ratios.