Percentages and Proportions Problems

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 the percentage of a number?

Back

To calculate the percentage of a number, use the formula: (part/whole) x 100.

Front

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

Back

The formula is: whole = part / (percentage / 100).

Front

If Dan earned 18 out of 25 points, how do you find the percentage of correct answers?

Back

Use the formula: (18/25) x 100 = 72%.

Front

What does it mean to find 'what percent of' a number?

Back

It means to determine what fraction of the total number is represented by a specific part.

Front

How do you find what percent 29 is of 145?

Back

Use the formula: (29/145) x 100 = 20%.

Front

What is the relationship between percentages and proportions?

Back

Percentages are a specific type of proportion where the whole is 100.

Front

How do you convert a percentage to a decimal?

Back

To convert a percentage to a decimal, divide by 100. For example, 20% = 0.20.

Front

What is 34% of 150?

Back

To find 34% of 150, calculate: 0.34 x 150 = 51.

Front

If Patricia has read 45% of her 382-page novel, how many pages has she read?

Back

Calculate: 0.45 x 382 = 171.9 pages.