Percent Equation Story Problems

Front

What is a percent equation?

Back

A percent equation is a mathematical statement that shows the relationship between a part, a whole, and a percentage. It is often written in the form: Part = Whole × Percent.

Front

How do you find the part when given the whole and the percent?

Back

To find the part, multiply the whole by the percent (expressed as a decimal). For example, if the whole is 100 and the percent is 25%, the part is 100 × 0.25 = 25.

Front

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

Back

To find the whole, divide the part by the percent (expressed as a decimal). For example, if the part is 30 and the percent is 60%, the whole is 30 ÷ 0.60 = 50.

Front

How do you convert a percentage to a decimal?

Back

To convert a percentage to a decimal, divide the percentage by 100. For example, 75% becomes 0.75.

Front

What is the percentage of a number?

Back

The percentage of a number is a fraction of that number expressed in terms of 100. For example, 20% of 50 is 20/100 × 50 = 10.

Front

If 15 out of 60 students passed a test, what percentage passed?

Back

To find the percentage, divide the number of students who passed by the total number of students and multiply by 100. (15/60) × 100 = 25%.

Front

What does it mean if a number is 30% of another number?

Back

It means that the first number is 30 parts out of 100 parts of the second number. For example, if the second number is 200, then 30% of 200 is 60.

Front

How do you find the percentage increase?

Back

To find the percentage increase, subtract the original value from the new value, divide by the original value, and multiply by 100. For example, if a price increases from $50 to $60, the increase is ($60 - $50) / $50 × 100 = 20%.

Front

If a store has a sale of 25% off, how do you calculate the sale price?

Back

To calculate the sale price, multiply the original price by the discount percentage (as a decimal) and subtract that from the original price. For example, for an item priced at $80, the sale price is $80 - ($80 × 0.25) = $60.

Front

What is the relationship between fractions and percentages?

Back

Fractions and percentages are two ways to express a part of a whole. A percentage is a fraction with a denominator of 100. For example, 1/4 is equivalent to 25%.