DOL: Solving Percent Proportions

Front

What is a percent proportion?

Back

A percent proportion is a way to express a relationship between a part and a whole in terms of percentage. It is often written as part/whole = percent/100.

Front

How do you calculate the percent of a number?

Back

To calculate the percent of a number, multiply the number by the percent (as a decimal). For example, to find 22% of 825, calculate 825 * 0.22 = 181.50.

Front

What is the formula to find the total when given a part and its percent?

Back

The formula is: Total = Part / (Percent / 100). For example, if 36 is 30%, then Total = 36 / (30 / 100) = 120.

Front

How do you convert a weight on Mars to a percent of its weight on Earth?

Back

To find the percent of weight on Earth, use the formula: (Weight on Mars / Weight on Earth) * 100. For example, (57 / 150) * 100 = 38%.

Front

If 12% of a group is a certain type, how do you find the number of that type?

Back

Use the formula: Number of that type = Total number * (Percent / 100). For example, if there are 75 cats and 12% are Siamese, then Number of Siamese = 75 * 0.12 = 9.

Front

What does it mean to save a percentage of income?

Back

Saving a percentage of income means setting aside a portion of your earnings based on a percentage. For example, saving 22% of $825 means saving $181.50.

Front

How can you express 30% as a fraction?

Back

30% can be expressed as the fraction 30/100, which simplifies to 3/10.

Front

What is the relationship between part, whole, and percent?

Back

The relationship is defined by the equation: Part = (Percent / 100) * Whole.

Front

How do you find the percent of a total when given a part?

Back

Use the formula: Percent = (Part / Whole) * 100. For example, if 36 is part of 120, then Percent = (36 / 120) * 100 = 30%.

Front

What is the first step in solving a percent proportion problem?

Back

The first step is to identify the part, the whole, and the percent in the problem.