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 45% of 50, calculate 50 * 0.45 = 22.5.

Front

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

Back

The formula is: Whole = Part / (Percentage in decimal form). 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 percentage?

Back

To convert a fraction to a percentage, divide the numerator by the denominator and multiply by 100. For example, 1/4 = 0.25 * 100 = 25%.

Front

What is the relationship between percentages and proportions?

Back

Percentages are a way to express proportions. A proportion compares a part to a whole, while a percentage expresses that comparison as a fraction of 100.

Front

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

Back

To find what percent one number is of another, divide the part by the whole and multiply by 100. For example, to find what percent 78 is of 450, calculate (78 / 450) * 100 = 17%.

Front

What is the formula to find a percentage increase?

Back

Percentage Increase = [(New Value - Original Value) / Original Value] * 100.

Front

What is the formula to find a percentage decrease?

Back

Percentage Decrease = [(Original Value - New Value) / Original Value] * 100.

Front

If 12 is 90% of a number, how do you find that number?

Back

Use the formula: Number = Part / (Percentage in decimal form). So, Number = 12 / 0.90 = 13.3.

Front

What does it mean if a number is 100% of another number?

Back

If a number is 100% of another number, it means it is equal to that number.