Word Problems for Percent Proportions

Front

What is a percent proportion?

Back

A percent proportion is a way to express a part of a whole as a percentage. It is often used to solve problems involving discounts, interest rates, and comparisons.

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 the result by 100.

Front

What is the formula for finding the percent of a number?

Back

The formula is: Percent = (Part/Whole) x 100.

Front

If 25% of a number is 50, what is the number?

Back

The number is 200. (50 = 0.25 * Number; Number = 50 / 0.25 = 200)

Front

What does it mean to find the whole when given a percent?

Back

Finding the whole means determining the total amount from which a part (percent) is taken.

Front

How do you find a percent increase?

Back

To find a percent increase, subtract the original value from the new value, divide by the original value, and multiply by 100.

Front

What is a percent decrease?

Back

A percent decrease is a reduction in value expressed as a percentage of the original value.

Front

If a shirt costs $40 and is on sale for 30% off, what is the sale price?

Back

The sale price is $28. (30% of $40 is $12; $40 - $12 = $28)

Front

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

Back

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

Front

How do you solve a word problem involving percent proportions?

Back

Identify the part, whole, and percent. Use the formula: Part = (Percent/100) x Whole.