Part Whole Percent: Finding the Whole

Front

What is a percent?

Back

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

Front

How do you find the whole when given a part and a percent?

Back

To find the whole, divide the part by the percent (in decimal form). For example, if 70% of the students are 350, then the whole is 350 ÷ 0.70 = 500.

Front

What is the formula to find the whole from a part and a percent?

Back

Whole = Part ÷ (Percent / 100) or Whole = Part ÷ Percent as a decimal.

Front

If 80% of a mountain's height is 3200 meters, how do you find the total height?

Back

Total height = 3200 meters ÷ 0.80 = 4000 meters.

Front

What does it mean if a digital memory card is 4% full?

Back

It means that only 4% of the card's total storage capacity is being used.

Front

How do you calculate the total capacity of a memory card if you know the amount of data and the percentage full?

Back

Total capacity = Amount of data ÷ (Percentage full / 100). For example, if 1.2 GB is 4% full, then total capacity = 1.2 GB ÷ 0.04 = 30 GB.

Front

If 60% of the animals in a pet shop are dogs and there are 42 dogs, how do you find the total number of animals?

Back

Total animals = 42 ÷ 0.60 = 70.

Front

What is the relationship between part, whole, and percent?

Back

The part is a portion of the whole, and the percent represents how much of the whole the part is.

Front

If a car's gas tank is 75% full with 15 gallons, how do you find the total capacity of the tank?

Back

Total capacity = 15 gallons ÷ 0.75 = 20 gallons.

Front

What is the first step in solving a problem that involves finding the whole from a part and a percent?

Back

Convert the percent to a decimal by dividing by 100.