Part Whole Percent

Front

What is a percent?

Back

A percent is a way to express a number as a fraction of 100. It is often used to compare ratios and express proportions.

Front

How do you calculate a percentage of a number?

Back

To calculate a percentage of a number, multiply the number by the percentage (in decimal form). For example, to find 30% of 80, calculate 80 x 0.30 = 24.

Front

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

Back

The formula is: Whole = Part / (Percent / 100). For example, if 56 is 35%, then Whole = 56 / (35 / 100) = 160.

Front

What does it mean if a student got 55% of questions wrong?

Back

It means that out of all the questions, 55% were incorrect. If there were 40 questions, then 22 questions were wrong (40 x 0.55 = 22).

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 by 100. For example, 29/50 = 0.58, which is 58%.

Front

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

Back

The relationship is defined by the formula: Percent = (Part / Whole) x 100. This shows how the part compares to the whole.

Front

If 18 is 9% of a number, how do you find that number?

Back

Use the formula: Number = Part / (Percent / 100). So, Number = 18 / (9 / 100) = 200.

Front

What is the first step in solving a percent problem?

Back

Identify what the part and the whole are, and determine what is being asked (e.g., finding the percent, the part, or the whole).

Front

How can you check if your percent calculation is correct?

Back

You can check by reversing the calculation. For example, if you found that 30% of 80 is 24, check by calculating 24 / 80 x 100 to see if it equals 30.

Front

What is 58% of 50?

Back

58% of 50 is calculated as 50 x 0.58 = 29.