Mathematics
Grade 8
15 min
Find what percent one number is of another
Find what percent one number is of another
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1
Introduction & Learning Objectives
Learning Objectives
Define 'percent' and understand its relationship to fractions and decimals.
Accurately identify the 'part' and the 'whole' in a given percentage problem.
Formulate a ratio to represent one number as a fraction of another.
Convert a fraction or decimal into its equivalent percentage.
Apply the percentage formula to solve various numerical scenarios.
Solve real-world problems involving finding what percent one number is of another.
Ever wonder how your test scores are calculated or what '50% off' really means? 🤔 Let's unlock the power of percents!
In this lesson, you'll learn a fundamental skill: how to determine what percentage one number represents of another. This concept is crucial for understanding da...
2
Key Concepts & Vocabulary
TermDefinitionExample
PercentA ratio that compares a number to 100. The word 'percent' means 'per hundred' or 'out of one hundred'.25% means 25 out of 100, or the fraction 25/100.
RatioA comparison of two numbers by division. It can be written as a fraction, with a colon, or with the word 'to'.The ratio of 3 boys to 5 girls can be written as 3/5, 3:5, or 3 to 5.
FractionA way to represent a part of a whole, written as a numerator (the part) over a denominator (the whole).If you eat 1 slice of a 4-slice pizza, you've eaten 1/4 of the pizza.
DecimalA number that uses a decimal point to represent parts of a whole. It's another way to write fractions.0.25 is the decimal equivalent of 1/4 or 25/100.
PartThe specific quantity or amount being com...
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Core Formulas
Formula for Finding What Percent One Number Is Of Another
$ ext{Percent} = \frac{\text{Part}}{\text{Whole}} \times 100\%$
This is the primary formula used to calculate what percentage a 'part' represents of a 'whole'. First, divide the part by the whole to get a decimal or fraction, then multiply by 100% to express it as a percentage.
Converting a Decimal to a Percent
$ ext{Decimal} \times 100\% = ext{Percent}$
To convert any decimal to a percent, simply multiply the decimal by 100 and add the percent symbol. This is equivalent to moving the decimal point two places to the right.
Converting a Fraction to a Percent
$\frac{\text{Numerator}}{\text{Denominator}} \times 100\% = ext{Percent}$
To convert a fraction to a percent, first divide the numera...
5 more steps in this tutorial
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Challenging
A school has 400 eighth-grade students. 120 of them play a school sport. The school has a total of 1600 students. What percent of the eighth-grade class plays a school sport?
A.7.5%
B.25%
C.30%
D.12.5%
Challenging
A company has 500 employees. 40% of the employees work in the sales department. Of the employees in the sales department, 15 are managers. What percent of the sales department employees are managers?
A.3%
B.7.5%
C.15%
D.40%
Challenging
A student correctly calculates that one number is 0.45 of another number. Which of the following original questions could they have been answering?
A.What percent is 45 of 10?
B.What percent is 100 of 45?
C.What percent is 4.5 of 100?
D.What percent is 9 of 20?
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