Finding the Part and the Whole Using Percent Equations

🔑 Key Concepts

• The percent equation is: percent \( \times \) whole = part.
• The word of means multiply.
• The word is usually identifies the part.
• Convert the percent to a decimal before multiplying or dividing.
• If the part is missing, multiply the percent by the whole.
• If the whole is missing, divide the part by the percent.

✏️ Worked Examples

🧠 Math Vocabulary

• Percent: a ratio that compares a number to 100.
• Whole: the total amount in a percent problem.
• Part: the amount being compared to the whole.
• Percent Equation: an equation using percent \( \times \) whole = part.
• Decimal Form: a percent written as a decimal, such as \(72\% = 0.72\).

💡 Main Idea

Percent problems often follow the equation percent \( \times \) whole = part. Once students identify the percent, whole, and part, they can decide whether to multiply or divide to find the missing value.

📚 What You Should Already Know

Students should already know how to convert percents to decimals, multiply and divide decimals, and identify the part and whole in a percent situation.

🚀 What Comes Next

After learning percent equations, students can apply the same reasoning to discounts, sales tax, tips, markups, percent increase, percent decrease, and percent word problems.

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