Do you like to ride roller coasters? Take a look at this dilemma.
At an amusement park there is an average of 30,000 visits daily. Over 75% of those people ride on the biggest roller coasters. About how many people ride the roller coasters?
To figure this out, you will need to find the percent of a number. Pay attention and you will know how to solve this problem by the end of the Concept.
Guidance
We said that percent are very useful. Part of the usefulness is being able to find percentages of a number. In other words, if you are planning a barbecue and the butcher tells you that 30% of the people want chicken…well, how many people is that? For how many people should you buy chicken?
The key words here are “of a number” this means that you multiply to solve the problem. We can convert the percent to a decimal and multiply or convert it to a fraction and multiply.
Let’s suppose that you invited 58 people to the barbecue. If 30% prefer chicken, then we need to know how many people that is.
First, convert 30% to either a decimal or a fraction
Using the decimal or fraction, you now multiply by the number of people you invited: or about 17 people
Or
or about 17 people.
This is the answer.
Solve each problem.
Example A
What is 20% of 18?
Solution: 3.6
Example B
What is 25% of 40?
Solution: 10
Example C
What is 5% of 80?
Solution: 4
Now back to the dilemma from the beginning of the Concept.
First, let's write a statement about the problem.
We need to figure out 75% of 30,000.
To do this, first convert 75% to a decimal.
Next, multiply.
22,500 people ride the roller coasters.
Vocabulary
- Ratio
- A ratio is a comparison of two quantities that can be written in fraction form, with a colon or with the word “to”.
- Percent
- Percent means out of 100. It is a quantity written with a % sign.
- Fraction
- A fraction is a part of a whole. A fraction is written mathematically as one value on top of another, separated by a fraction bar. It is also called a rational number .
- Decimal
- In common use, a decimal refers to part of a whole number. The numbers to the left of a decimal point represent whole numbers, and each number to the right of a decimal point represents a fractional part of a power of one-tenth. For instance: The decimal value 1.24 indicates 1 whole unit, 2 tenths, and 4 hundredths (commonly described as 24 hundredths).
- Proportion
- A proportion is an equation that shows two equivalent ratios.
Guided Practice
Here is one for you to try on your own.
A survey stated that 15% of the people surveyed like olives. Out of the 500 people surveyed, about how many like olives?
Solution
First, let's write a statement describing the problem.
15% of 500
Now change the percent to a decimal.
Next, multiply.
75 of the people like olives.
Video Review
Explore More
Find the percent of the given number by converting the percent to a decimal. You may round if necessary.
- 30% of 90
- 3% of 12
- 14% of 900
- 33% of 99
- 18% of 100
- 8% of 72
- 11% of 50
- 14.5% of 30
- 12% of 80
- 2% of 800
- 150% of 21
- 45% of 60
Read the following situations carefully and answer the questions accordingly.
- For every paycheck you receive, your employer pays 6% to social security. Write this percent as a ratio with a denominator of 100.
- What is 30% of 500?
- A store did a survey and found that of its customers have shopped at its competitors’ stores within in the previous month. What percent is that?