Percent of a number, part 1
Finding the percent of a number in Grade 7 means translating a percent problem into a multiplication equation by converting the percent to a decimal or fraction. In Saxon Math, Course 2, Chapter 6, students learn that 40% of 75 becomes 0.40 × 75 = 30. This skill is the gateway to calculating discounts, tax, commission, and tips — everyday financial calculations that students and adults use constantly. Converting percent to decimal (divide by 100) or fraction (use benchmarks like 25% = ¼) makes multiplication straightforward.
Key Concepts
Property We can translate percent problems into equations the same way we translate fractional part of a number problems: we convert the percent to either a fraction or a decimal.
Examples How much money is $40\%$ of $75$ dollars? $\rightarrow W N = 0.40 \times 75 \rightarrow W N = 30$ dollars. What number is $25\%$ of $88$? $\rightarrow W N = \frac{1}{4} \times 88 \rightarrow W N = 22$. Find an $8\%$ commission on a $10,000$ dollars car. $\rightarrow C = 0.08 \times 10000 \rightarrow C = 800$ dollars.
Explanation Percents are just fractions wearing a fancy hat! To find a percent of a number, first change the percent into a decimal or fraction. Then, use your detective skills to translate 'of' to multiply and solve. You choose the form—decimal or fraction—that makes the math easiest for you.
Common Questions
How do you find the percent of a number in Grade 7?
Convert the percent to a decimal or fraction, then multiply by the number. For example, 40% of 75 = 0.40 × 75 = 30.
How do you convert a percent to a decimal?
Divide the percent by 100 or move the decimal point two places to the left. For example, 8% = 0.08 and 25% = 0.25.
What benchmark fractions help with percent of a number?
Common benchmarks: 25% = ¼, 50% = ½, 75% = ¾, 10% = 1/10, 20% = 1/5. Using these makes mental math much faster.
Where is percent of a number taught in Saxon Math Course 2?
This skill is introduced in Chapter 6 of Saxon Math, Course 2, as part of Grade 7 proportional reasoning and percent applications.
What real-world situations use finding the percent of a number?
Calculating sales tax, finding a discount, computing a tip at a restaurant, figuring out commission on sales, and finding the interest on a loan all require this skill.
What is the difference between a percent and a decimal?
A percent is a ratio out of 100 (written with %). A decimal is its equivalent divided form (40% = 0.40). Both represent the same portion but are written differently.
What mistakes do students make when finding the percent of a number?
Common errors include forgetting to convert the percent before multiplying (using 40 instead of 0.40), or multiplying the percent by the wrong number when there are multiple values in a problem.