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 a part of a whole.

Front

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

Back

To find the whole, divide the part by the percentage (in decimal form). For example, if 10% of a number is 7, the whole is 7 ÷ 0.10 = 70.

Front

What does it mean when we say 'X is Y% of Z'?

Back

It means that X is Y parts out of 100 of Z. To find Z, you can rearrange the formula: Z = X / (Y/100).

Front

If 50 is 150% of what number, how do you find that number?

Back

To find the number, divide 50 by 1.5 (which is 150% in decimal form). So, 50 ÷ 1.5 = 33.33.

Front

What is the formula to calculate a percentage of a number?

Back

The formula is: (Percentage / 100) * Number.

Front

If 21 is 60% of what number, how do you find that number?

Back

To find the number, divide 21 by 0.60. So, 21 ÷ 0.60 = 35.

Front

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

Back

The relationship is defined by the formula: Part = (Percentage / 100) * Whole.

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 75% of 16?

Back

75% of 16 is 0.75 * 16 = 12.

Front

If 20 is 25% of what number, how do you find that number?

Back

To find the number, divide 20 by 0.25. So, 20 ÷ 0.25 = 80.