Finding the Whole (percentages)

Front

What is a percentage?

Back

A percentage is a way of expressing a number as a fraction of 100. It represents how much of something there is out of a total.

Front

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

Back

To find the whole, divide the part by the percentage (in decimal form). For example, if 12 is 50%, the whole is 12 ÷ 0.5 = 24.

Front

What does it mean to find the part in a percentage problem?

Back

Finding the part means determining how much of the whole corresponds to a given percentage. For example, finding 20% of 50 means calculating 0.2 × 50 = 10.

Front

What is the formula to find the percentage?

Back

The formula to find the percentage is: (Part ÷ Whole) × 100.

Front

If 50% of a number is 30, what is the number?

Back

The number is 60, because 30 ÷ 0.5 = 60.

Front

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

Back

The relationship is defined by the formula: Part = (Percent × Whole) ÷ 100.

Front

How do you convert a percentage to a decimal?

Back

To convert a percentage to a decimal, divide the percentage by 100. For example, 25% becomes 0.25.

Front

What is 45% of 200?

Back

45% of 200 is 90, calculated as 0.45 × 200.

Front

If 12 is 80% of what number, how do you find that number?

Back

To find that number, divide 12 by 0.8. The number is 15.

Front

What does it mean if a number is 150% of another number?

Back

It means the number is 1.5 times the other number. For example, 150% of 100 is 150.