Find the total given a part and a percent

Learning Objectives Identify the part, percent, and unknown total in word problems. Convert percentages to their decimal or fractional equivalents. Set up and solve proportions to find the total. Set up and solve algebraic equations to find the total. Apply the concept of finding the total to real-world scenarios. Check the reasonableness of their calculated total. Ever wonder how stores calculate the original price of an item when it's on sale, and you only know the discount percentage and the sale price? 🛍️ This lesson will show you exactly how! In this lesson, you'll learn powerful strategies to determine the 'whole' or 'total' amount when you're only given a specific 'part' of it and the 'percent' that part represen...

TermDefinitionExample PercentA ratio that compares a number to 100. It means 'per hundred' or 'out of one hundred'.25% means 25 out of 100, or the fraction \frac{25}{100}. PartThe specific amount or quantity that is being compared to the total. It represents a portion of the whole.If 10 students out of a class of 40 are wearing red, 10 is the part. Total (or Whole)The entire amount or the complete quantity. It's the base amount to which the part is compared.If 10 students out of a class of 40 are wearing red, 40 is the total. ProportionAn equation that states that two ratios are equal. It's a powerful tool for solving problems involving percentages.\frac{1}{2} = \frac{50}{100} is a proportion. Decimal EquivalentThe decimal form of a percentage, obtained by di...

The Percent Proportion \frac{\text{Part}}{\text{Total}} = \frac{\text{Percent}}{100} This proportion can be used to find any of the three values (part, total, or percent) if the other two are known. To find the total, you'll substitute the known part and percent, then solve for the unknown total. The Percent Equation \text{Part} = \text{Percent (as decimal)} \times \text{Total} This equation directly relates the part, percent, and total. To find the total, you'll substitute the known part and the percent (converted to a decimal), then divide both sides by the decimal percent to isolate the total.