Setting up Percent Problems as Ratios

Front

What is a percent?

Back

A percent is a way of expressing a number as a fraction of 100. It is denoted by the symbol '%'.

Front

How do you convert a percent to a decimal?

Back

To convert a percent to a decimal, divide the percent by 100. For example, 34% becomes 0.34.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

How do you set up a percent problem as a ratio?

Back

To set up a percent problem as a ratio, you can express the part over the whole as a fraction equal to the percent over 100.

Front

In the problem '50% of the students are boys', what is the part?

Back

The part is the number of boys, which is given as 15 boys.

Front

In the problem '55 students are in the choir, which is 40% of the sixth grade', how do you find the total number of sixth grade students?

Back

Front

What does the term 'whole' refer to in percent problems?

Back

The 'whole' refers to the total amount or total number of items being considered.

Front

If 75% of students are boys in a class of 24, how many are girls?

Back

First, find the number of boys: 75% of 24 = 18 boys. Then, subtract from the total: 24 - 18 = 6 girls.

Front

How do you calculate the percent of a quantity?

Back

To calculate the percent of a quantity, divide the part by the whole and multiply by 100.

Front

What is the formula to find profit as a percent of total sales?

Back

The formula is: Profit Percent = (Profit / Total Sales) * 100.