Percent Proportions

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 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 20% of 50, calculate 50 * 0.20 = 10.

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 34% of a number is 51, the whole is 51 / 0.34 = 150.

Front

How do you convert a fraction to a percent?

Back

To convert a fraction to a percent, divide the numerator by the denominator and multiply by 100. For example, 3/4 = (3 ÷ 4) * 100 = 75%.

Front

What is the percent grade if a student answers 12 out of 15 questions correctly?

Back

To find the percent grade, divide the number of correct answers by the total questions and multiply by 100: (12/15) * 100 = 80%.

Front

How do you find the number of correct answers from a percent score?

Back

Multiply the total number of questions by the percent (in decimal form). For example, for 85% on 25 questions: 25 * 0.85 = 21 questions.

Front

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

Back

The formula is: Percent = (Part / Whole) * 100. For example, if 7 out of 15 shots are made, the percent made is (7/15) * 100 = 46.67%.

Front

If a team misses 53% of their shots, what percent of their shots do they make?

Back

To find the percent made, subtract the percent missed from 100%. So, 100% - 53% = 47% made.

Front

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

Back

Use the formula: Total = Part / (Percent / 100). For example, if 35 boys are 5% of the total, Total = 35 / 0.05 = 700.

Front

What does it mean if 5% of a total is represented by a certain number?

Back

It means that the number is a small part of the whole, specifically 5 out of every 100 parts of that total.