# 8.1.11 Calculator Exploration: Using Percentages The calculator can be accessed on the left-hand side bar under Toolkit.

In the following exploration, you will use the calculator for calculations involving percentages.

## Finding a Percentage of a Number Suppose that residents in a town are asked their views on a proposed development of a wind farm near the town. The local paper says that 450 people voted, with 54% in favor of the proposal, 36% against the proposal and 10% saying that they were undecided. How many people were in favor of the proposal?

To find the number of people who were in favor, you need to find 54% of 450. The calculation is: .

Enter this into the calculator and you will see: So, 243 people were in favor of the proposal.

The percent key is useful here. Enter .

The calculator shows: Again, you can see that 243 people were in favor of the proposal.

### Activity: Methods for Finding Percentages

Now it’s your turn. Try both methods (first, entering the percentage as a fraction, and second, using the percent key) to find the number of people who were against the proposal. Then find the number of people who were undecided about the proposal. (Try this calculation without using the calculator.) #### Comment

For the first method, enter the percentage as a fraction, then multiply by 450. For the second method, enter the percentage followed by the percent key, then multiply by 450. Since 36% of the 450 people were against the proposal, you want to calculate 36% of 450 to find the exact number. Here are the two methods on the calculator.  So, 162 people were against the proposal.

You know that 10% of the 450 people were undecided, so you need to find 10% of 450. You should be able to do this calculation without the calculator: 10% is one-tenth, and one-tenth of 450 is 45. So, 45 people were undecided. The calculator should give you the same answer, but do watch for easy calculations that you can do in your head—it’s good practice!

As a check, the three numbers you have calculated should add to 450. The number in favor was 243, the number against was 162 and the number undecided was 45, and these do add to 450.

8.1.10 Which Percent is It?

8.1.12 To Write One Number as a Percentage of Another