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 30 is 20% of a number, the whole is 30 / (20 / 100) = 150.

Front

What does it mean if 40% of a number is 80?

Back

It means that 80 is 40% of some whole number. To find the whole, use the formula: Whole = 80 / (40 / 100) = 200.

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 then multiply by 100. For example, 1/4 = (1 ÷ 4) * 100 = 25%.

Front

What is the relationship between percentages, fractions, and decimals?

Back

Percentages, fractions, and decimals are different ways to represent the same value. For example, 50% = 0.5 = 1/2.

Front

If a student scores 18 out of 24 on a test, what is their percentage score?

Back

Percentage score = (18 / 24) * 100 = 75%.

Front

What is 25% of 200?

Back

25% of 200 is calculated as 200 * 0.25 = 50.

Front

If 60% of a number is 30, what is the number?

Back

The number is found using the formula: Number = 30 / (60 / 100) = 50.

Front

How do you find what percent one number is of another?

Back

To find what percent one number (A) is of another number (B), use the formula: (A / B) * 100. For example, to find what percent 30 is of 150, calculate (30 / 150) * 100 = 20%.