Percents

Front

What is a percent?

Back

A percent is a way of expressing a number as a fraction of 100. It is denoted using the symbol '%'. For example, 50% means 50 out of 100.

Front

How do you convert a fraction to a percent?

Back

To convert a fraction to a percent, divide the top number (numerator) by the bottom number (denominator) and then multiply the result by 100. For example, 14/20 = (14 ÷ 20) × 100 = 70%.

Front

What is the formula to find the percent of a number?

Back

The formula to find the percent of a number is: Percent = (Part/Whole) × 100. For example, if 40 out of 200 students are boys, the percent of boys is (40/200) × 100 = 20%.

Front

How do you find the total amount when given a percent?

Back

To find the total amount when given a percent, use the formula: Total = Part / (Percent/100). For example, if 30% of a total is 60, then Total = 60 / (30/100) = 200.

Front

What does it mean to increase a number by a percent?

Back

To increase a number by a percent means to add that percent of the number to the original number. For example, increasing $30 by 20% means adding $6 (20% of $30) to $30, resulting in $36.

Front

What does it mean to decrease a number by a percent?

Back

To decrease a number by a percent means to subtract that percent of the number from the original number. For example, decreasing $30 by 10% means subtracting $3 (10% of $30) from $30, resulting in $27.

Front

How do you convert a percent to a decimal?

Back

To convert a percent to a decimal, divide the percent by 100. For example, 230% as a decimal is 230 ÷ 100 = 2.3.

Front

What is 125% of a number?

Back

125% of a number means you take the number and multiply it by 1.25. For example, 125% of 84 is 84 × 1.25 = 105.

Front

How do you calculate the discount price using a percent?

Back

To calculate the discount price, first find the discount amount by multiplying the original price by the discount percent (as a decimal), then subtract that amount from the original price. For example, for a $30 cap with a 30% discount: Discount = $30 × 0.30 = $9; Sale Price = $30 - $9 = $21.

Front

What is the relationship between fractions, decimals, and percents?

Back

Fractions, decimals, and percents are different ways to represent the same value. For example, 1/2 = 0.5 = 50%.