Percent means “out of 100,” but we aren’t always working with a set of 100 things. We can still calculate the percentage by taking the amount we have divided by the total amount.

Introduction to Finding Percentages

Video Source (07:01 mins) | Transcript

Example:

What percentage is 2 hours of a day?

Answer: There are 24 hours in a day, so the total amount we are comparing to is 24. To calculate the percentage we divide 2 by 24.

\(\text{Amount} \div \text{Total Amount} = 2 \div 24 = 0.08333...\)

Then change the decimal into a percentage by multiplying by 100 and adding a % symbol.

\(0.083333… = 8.3%\) (rounded to the nearest tenth)

Here are the things to remember from this lesson:

- When finding the percent: \(\text{Amount} \div \text{Total Amount} = \text{Percent}\)

### Practice Problems

- What percentage is 24 minutes out of an hour? (Solution
- You are on a trip that is 292 km long. So far you have driven 88 km. What percentage of the trip have you traveled? (Round to the nearest whole percentage.) (Solution
- This month you spent $178 on food. Your total budget for the month is $1200. What percentage of the budget was spent on food? (Round to the nearest whole percentage.) (Solution
- You make and sell bread. The flour costs $53 a week. The cost of all your ingredients is $84 a week. What percentage of your cost is the flour? (Round to the nearest whole percentage.) (Solution
- You take a test and get some of the extra credit points correct. You get 22 points out of 20 possible points. What is your percentage on the test? (Solution
- A water tank holds 75L of water. There are currently 27L in the tank. What percent of the tank is empty? (Hint: \(75-27\) is the amount missing. What percent is missing?) (Solution

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