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 something is 100%?

Back

If something is 100%, it means it is the whole or the total amount.

Front

If an item is on sale for 20% off, how do you find the sale price?

Back

To find the sale price, calculate the discount amount by multiplying the original price by the percentage discount (in decimal form), then subtract that amount from the original price.

Front

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

Back

The formula is: Whole = Part / (Percentage in decimal form). For example, if 20 is 40% of a number, the whole is 20 / 0.40 = 50.

Front

How do you convert a fraction to a percentage?

Back

To convert a fraction to a percentage, divide the numerator by the denominator and then multiply by 100. For example, 1/4 = (1 ÷ 4) 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% = 0.50 = 1/2.

Front

If a student scored 80% on a test with 50 questions, how many questions did they answer correctly?

Back

To find the number of correct answers, calculate 80% of 50: 50 x 0.80 = 40 questions.

Front

What does it mean if a population increases by 10%?

Back

If a population increases by 10%, it means the new population is 110% of the original population.

Front

How do you find the percentage increase?

Back

To find the percentage increase, subtract the original value from the new value, divide by the original value, and multiply by 100. Formula: ((New - Original) / Original) x 100.