📝 Practice Worksheets
🛠️ Related Tools
🔑 Key Concepts
- Percent problems compare a part to a whole.
- The word is often represents the part.
- The word of often represents the whole.
- A percent can be written as a fraction out of 100.
- You can solve percent problems using proportions, equations, or scale factors.
✏️ Worked Examples
🧠 Math Vocabulary
- Percent: a ratio that compares a number to 100.
- Part: the amount being compared to the whole.
- Whole: the total amount.
- Proportion: an equation that shows two ratios are equal.
- Scale factor: a number used to multiply or divide quantities in equivalent ratios.
💡 Main Idea
Percent problems can be solved in several ways. You can set up a proportion, write an equation, or use a scale factor. In the sentence “7 is 20% of what number,” the 7 is the part, 20% is the percent, and the unknown value is the whole.
📚 What You Should Already Know
Students should know how to write percents as fractions out of 100, simplify fractions, solve basic equations, and understand that percent problems compare a part to a whole.
🚀 What Comes Next
After solving basic percent problems, students can apply the same strategies to percent increase, percent decrease, discounts, tax, tips, markups, and percent error.
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