Solving Percent Problems using Proportions or Equations

Front

What is a percent?

Back

A percent is a ratio expressed as a fraction of 100. It represents a part of a whole.

Front

How do you find a percentage of a number?

Back

To find a percentage of a number, multiply the number by the percentage (in decimal form). For example, to find 25% of 200, calculate 200 x 0.25 = 50.

Front

What does it mean when we say 'A is B% of C'?

Back

It means that A is the part, B is the percentage, and C is the whole. For example, if 14 is 25% of 56, then 14 is the part, 25% is the percentage, and 56 is the whole.

Front

How do you set up a proportion to solve a percent problem?

Back

Set up a proportion by writing the part over the whole equal to the percentage over 100. For example, if 14 is 25% of 56, set it up as 14/56 = 25/100.

Front

What is the formula to find the part when given the whole and the percentage?

Back

The formula is: Part = (Percentage/100) x Whole. For example, to find 25% of 200, use Part = (25/100) x 200 = 50.

Front

What is the formula to find the whole when given the part and the percentage?

Back

The formula is: Whole = Part / (Percentage/100). For example, if 14 is 25% of a number, the whole is Whole = 14 / (25/100) = 56.

Front

If 15% of a number is 30, how do you find the number?

Back

Use the formula: Number = Part / (Percentage/100). Here, Number = 30 / (15/100) = 200.

Front

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

Back

The part is the portion of the whole represented by the percentage. The percentage tells you how much of the whole the part represents.

Front

How can you convert a percentage to a decimal?

Back

To convert a percentage to a decimal, divide the percentage by 100. For example, 25% as a decimal is 25/100 = 0.25.

Front

What is the first step in solving a percent problem?

Back

Identify the part, the whole, and the percentage. Determine what you need to find.