Percent Word Problems

Front

What is a percent?

Back

A percent is a way of expressing a number as a fraction of 100. It is denoted by the symbol '%'. For example, 50% means 50 out of 100.

Front

How do you convert a fraction to a percent?

Back

Front

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

Back

The formula to find the percent of a number is: Percent = (Part/Whole) × 100. For example, if you want to find what percent 20 is of 80, you would calculate: (20/80) × 100 = 25%.

Front

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

Back

To find the part when given the percent and the whole, use the formula: Part = (Percent/100) × Whole. For example, to find 20% of 50: (20/100) × 50 = 10.

Front

What does it mean if 25% of a class passed a test?

Back

If 25% of a class passed a test, it means that out of every 100 students, 25 students passed. If there are 40 students in the class, then 25% of 40 is 10 students.

Front

How do you calculate the percent increase?

Back

To calculate the percent increase, use the formula: Percent Increase = ((New Value - Original Value) / Original Value) × 100. For example, if a price increases from $50 to $60, the percent increase is ((60 - 50) / 50) × 100 = 20%.

Front

How do you calculate the percent decrease?

Back

To calculate the percent decrease, use the formula: Percent Decrease = ((Original Value - New Value) / Original Value) × 100. For example, if a price decreases from $80 to $60, the percent decrease is ((80 - 60) / 80) × 100 = 25%.

Front

If a store has a sale of 30% off, how do you find the sale price?

Back

To find the sale price, first calculate the discount amount by multiplying the original price by the percent off (as a decimal). Then subtract the discount from the original price. For example, if an item costs $100, the sale price is: $100 - ($100 × 0.30) = $70.

Front

What is a tape diagram?

Back

A tape diagram is a visual model that uses rectangles to represent numbers and their relationships. It is often used to solve percent problems by showing parts and wholes.

Front

How do you solve a percent word problem?

Back

To solve a percent word problem, identify the whole, the part, and the percent. Use the appropriate formulas to find the missing values. Draw a tape diagram if needed to visualize the problem.