📝 Practice Worksheets
🛠️ Related Tool
🔑 Key Concepts
- Percent means “out of 100.”
- The word of usually identifies the whole or total amount.
- The word is usually identifies the part amount.
- A percent proportion compares part over whole to percent over 100.
💡 Main Idea
Percent problems become easier when students identify the part, the whole, and the percent out of 100. The word of points to the total, while the word is points to the part. Once the proportion is set up correctly, students can solve for the missing value.
✏️ 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 or full amount in the problem.
- Percent Proportion: A proportion that compares part over whole to percent over 100.
- Of Number: The number after the word “of,” usually representing the whole.
- Is Number: The number connected to the word “is,” usually representing the part.
📐 Percent Proportion Rule
A percent proportion compares the part and whole to the percent and 100.
\(\frac{\text{part}}{\text{whole}}=\frac{\text{percent}}{100}\)
Use the word of to identify the whole and the word is to identify the part.
\(\frac{\text{is}}{\text{of}}=\frac{\text{percent}}{100}\)
After the proportion is set up correctly, solve for the missing value using cross products, equivalent ratios, or a ratio table.
📚 What You Should Already Know
Students should know how to write equivalent ratios, solve proportions, multiply decimals or whole numbers, divide to isolate a variable, and understand that percent means out of 100.
🚀 What Comes Next
After solving percent proportions, students can apply percent reasoning to discounts, tax, tips, percent change, markups, markdowns, and real-world financial situations.
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