Solve percent equations

Learning Objectives Identify the 'part', 'whole', and 'percent' in a given problem. Translate verbal percent problems into algebraic equations. Solve percent equations to find an unknown part. Solve percent equations to find an unknown whole. Solve percent equations to find an unknown percent. Apply percent equations to solve real-world problems. Check the reasonableness of their solutions to percent equations. Ever wonder how stores calculate discounts or how much tax you'll pay? 🛍️ Understanding percent equations helps you unlock these everyday math mysteries! In this lesson, you'll learn how to set up and solve different types of percent equations. We'll cover how to find a missing part, a missing whole, or a missing percent...

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 25/100, or the decimal 0.25. Percent EquationAn algebraic equation that relates a part, a whole, and a percent. It's often written as 'part = percent × whole'.If 10 is 20% of 50, the equation is 10 = 0.20 × 50. PartThe portion or amount that is being compared to the whole. It's usually the result of taking a percent of a whole.In '15 is 30% of 50', 15 is the part. WholeThe total amount or the base amount to which the part is being compared.In '15 is 30% of 50', 50 is the whole. Rate (as a decimal)The percent expressed as a decimal or a fraction, used in calculations within the...

The General Percent Equation `part = rate \times whole` This is the fundamental equation for solving percent problems. Remember that 'rate' is the percent expressed as a decimal or fraction (e.g., 25% becomes 0.25). Finding the Part `part = (\frac{P}{100}) \times W` Use this formula when you know the percent (P) and the whole (W), and you need to find the part. Convert the percent to a decimal by dividing by 100 before multiplying. Finding the Whole `W = \frac{part}{(\frac{P}{100})}` Use this formula when you know the part and the percent (P), and you need to find the whole (W). Divide the part by the percent (expressed as a decimal). Finding the Percent `P = \frac{part}{W} \times 100` Use this formula when you know the part and the whole (W), and y...