Percent of a number: word problems

Learning Objectives Identify the 'percent', 'whole', and 'part' in word problems. Convert percents to decimals and fractions accurately. Set up and solve equations or proportions to find the percent of a number. Solve multi-step word problems involving calculating a percent of a number. Apply percent calculations to real-world scenarios such as discounts, taxes, and tips. Check the reasonableness of their answers in percent word problems. Ever wonder how stores calculate discounts on your favorite items? 🛍️ Or how much tax you pay on a new gadget? In this lesson, you'll learn how to solve word problems involving finding the percent of a number. This skill is super useful for understanding sales, tips, taxes, and many other everyday situat...

TermDefinitionExample PercentA ratio that compares a number to 100. The word 'percent' means 'per hundred' or 'out of 100'.25% means 25 out of 100, or 25/100. DecimalA number that uses a decimal point to represent a part of a whole number. It's often used as an equivalent form of a percent for calculations.The decimal form of 25% is 0.25. Whole (or Base)The total amount or original quantity in a percent problem. It's the number you are taking a percent OF.In the problem 'What is 10% of 50?', the 'whole' is 50. Part (or Amount)The portion of the whole that corresponds to the given percent. It's the result of taking a percent OF the whole.In '10% of 50 is 5', the 'part' is 5. Percent RateThe number with the...

Converting Percent to Decimal $P\% = \frac{P}{100}$ or move the decimal point two places to the left. Before performing calculations with percents, you must convert the percent into its decimal (or fractional) equivalent. This is the first step in most percent problems. The Percent Equation (Finding the Part) $Part = Percent_{decimal} \times Whole$ This equation is used when you know the percent and the whole, and you want to find the part. 'Is' usually represents the Part, 'of' usually represents the Whole. The Percent Proportion $\frac{Part}{Whole} = \frac{Percent}{100}$ This proportion can be used to solve any type of percent problem. You fill in the two known values and solve for the unknown using cross-multiplication.