Percentages

Front

What is a percentage?

Back

A percentage is a way of expressing a number as a fraction of 100. It is often used to compare proportions.

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 does it mean if 30% of a group is a certain category?

Back

It means that out of every 100 members of the group, 30 belong to that category.

Front

If there are 120 boys in a group, how many total members are there if boys make up 44% of the group?

Back

To find the total, divide the number of boys by the percentage they represent in decimal form: 120 / 0.44 = 272.73, so approximately 273 total members.

Front

What is the formula to find the total when given a part and its percentage?

Back

Total = Part / (Percentage in decimal form). For example, if 36 is 30%, Total = 36 / 0.30 = 120.

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 relationship between percentages, fractions, and decimals?

Back

Percentages, fractions, and decimals are different ways to represent the same value. For example, 50% = 0.5 = 1/2.

Front

If you ride 16 miles instead of the planned 10 miles, what percentage of your planned trip did you complete?

Back

Percentage = (Actual Distance / Planned Distance) x 100 = (16 / 10) x 100 = 160%.

Front

How do you find the percentage of a total?

Back

To find the percentage of a total, divide the part by the total and multiply by 100. For example, if there are 36 brown M&Ms in a bag of 120, the percentage is (36 / 120) x 100 = 30%.

Front

What is a tape diagram?

Back

A tape diagram is a visual model that uses rectangles to represent numbers and their relationships, often used to solve problems involving parts and wholes.