Percent Proportions

Front

What is a percent proportion?

Back

A percent proportion is a way to express a part of a whole as a percentage. It shows the relationship between a part and the total, often used to solve problems involving percentages.

Front

How do you calculate a percentage of a number?

Back

To calculate a percentage of a number, multiply the number by the percentage (in decimal form). For example, to find 20% of 50, calculate 50 x 0.20 = 10.

Front

What is the formula to find the total value when given a percentage?

Back

The formula is: Total Value = Part / (Percentage in decimal form). For example, if $300 is 20%, then Total Value = 300 / 0.20 = $1500.

Front

If 26% of 170 customers bought snacks, how do you find the number of customers who bought snacks?

Back

Multiply 170 by 0.26: 170 x 0.26 = 44.2, which rounds to about 44 customers.

Front

What does it mean if 40% of guests ordered room service?

Back

It means that out of every 100 guests, 40 guests ordered room service. To find the actual number, multiply the total number of guests by 0.40.

Front

How do you convert a fraction to a percentage?

Back

To convert a fraction to a percentage, divide the top number (numerator) by the bottom number (denominator) and then multiply by 100. For example, 1/4 = 0.25 x 100 = 25%.

Front

What is the percentage of left-handed students in a class of 16 if 4 are left-handed?

Back

To find the percentage, divide 4 by 16 and multiply by 100: (4/16) x 100 = 25%.

Front

How do you find what percentage one number is of another?

Back

Divide the part by the whole and multiply by 100. For example, to find what percentage 22 is of 280, calculate (22/280) x 100 = 7.86%.

Front

What is the relationship between percentages, fractions, and decimals?

Back

Percentages are a way to express fractions out of 100. To convert a percentage to a decimal, divide by 100. To convert a decimal to a percentage, multiply by 100.

Front

If 100 guests ordered room service out of 250, what percentage is that?

Back

(100/250) x 100 = 40%. So, 40% of the guests ordered room service.