📝 Practice Worksheets
🛠️ Related Tools
🔑 Key Concepts
- A percent is a ratio out of 100.
- Percent problems can be solved by setting up a proportion.
- The percent goes over 100 in the proportion.
- The part and whole must be placed in matching positions.
- Cross multiplication can be used to solve for the missing value.
💡 Main Idea
To solve a percent word problem, write the percent as a ratio over 100 and match it with the part-over-whole relationship from the situation. Then cross multiply and solve for the unknown.
✏️ Worked Examples
🧠 Math Vocabulary
- Percent: a ratio that compares a number to 100.
- Proportion: an equation showing that two ratios are equivalent.
- Part: the amount being compared to the whole.
- Whole: the total amount or original amount in a percent problem.
- Cross Products: the products found by multiplying diagonally in a proportion.
📚 What You Should Already Know
Students should already know how to write ratios, understand that percent means out of 100, multiply decimals, cross multiply, and solve one-step equations.
🚀 What Comes Next
After solving percent problems with proportions, students can apply the same reasoning to percent increase, percent decrease, discounts, tax, tips, markups, and real-world percent applications.
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