Percent Problems - Find the Whole or the Percent

Front

What is a percent?

Back

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

Front

How do you find the whole when given a part and a percent?

Back

To find the whole, divide the part by the percent (in decimal form). For example, if 75% of the whole is 9, then the whole is 9 ÷ 0.75 = 12.

Front

What is the formula to find the percent?

Back

The formula to find the percent is: Percent = (Part ÷ Whole) × 100.

Front

If 18 is what percent of 36, how do you solve it?

Back

To find the percent, use the formula: Percent = (Part ÷ Whole) × 100. Here, Percent = (18 ÷ 36) × 100 = 50%.

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, 25% as a decimal is 0.25.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. It can be used to solve problems involving percentages.

Front

If Gary read 34 pages of a 340-page book, what percent did he read?

Back

To find the percent, use the formula: Percent = (Part ÷ Whole) × 100. Here, Percent = (34 ÷ 340) × 100 = 10%.

Front

How do you find the part when given the whole and the percent?

Back

To find the part, multiply the whole by the percent (in decimal form). For example, if the whole is 12 and the percent is 75%, then Part = 12 × 0.75 = 9.

Front

What is a tape diagram?

Back

A tape diagram is a visual model that uses rectangles to represent numbers and their relationships, often used to solve percent problems.

Front

If there are 36 quarters in a collection that is 45% quarters, how do you find the total number of coins?

Back

To find the total, use the formula: Total = Part ÷ Percent. Here, Total = 36 ÷ 0.45 = 80 coins.