Solving A Percentage Word Problem Using A Proportion

🔑 Key Concepts

  • Percent means “out of 100.”
  • The whole amount represents 100%.
  • The part is compared to the whole to find the percent.
  • A percent proportion can be written using part over whole equals percent over 100.
  • Cross products or equivalent fractions can be used to solve percent word problems.

✏️ Worked Example

🧠 Math Vocabulary

  • Percent: A ratio that compares a number to 100.
  • Part: The amount being compared to the whole.
  • Whole: The total amount or original amount, which represents 100%.
  • Proportion: An equation showing that two ratios are equal.
  • Percent Proportion: A proportion that compares the part and whole to a percent out of 100.

💡 Main Idea

In this lesson, students learn how to solve percent word problems by using a part-to-whole relationship. The amount being compared is placed over the original whole amount, and the percent is written over 100. This helps students understand that 100% represents the whole amount.

📚 What You Should Already Know

Students should already understand fractions, ratios, equivalent fractions, and how to solve simple proportions. It also helps to know that percent means “out of 100.”

🚀 What Comes Next

After learning to find what percent one amount is of another, students can solve percent increase, percent decrease, discount, tax, tip, and real-world percent application problems.

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