Solving Percent Problems

Front

What is a percent?

Back

A percent is a way to express a number as a fraction of 100. It is denoted by the symbol '%'. For example, 50% means 50 out of 100.

Front

How do you calculate the percentage of a number?

Back

To calculate the percentage of a number, multiply the number by the percentage (in decimal form) and then divide by 100. For example, to find 20% of 50, calculate (20/100) * 50 = 10.

Front

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

Back

The formula is: Total = Part / (Percentage / 100). For example, if 30 is 20% of the total, then Total = 30 / (20/100) = 150.

Front

If 25% of a number is 50, what is the number?

Back

The number is 200. (50 / 0.25 = 200)

Front

How do you find the discount amount on an item?

Back

To find the discount amount, multiply the original price by the discount percentage (in decimal form). For example, for a $100 item with a 20% discount, the discount amount is $100 * 0.20 = $20.

Front

What is the relationship between fractions and percentages?

Back

Fractions can be converted to percentages by multiplying the fraction by 100. For example, 1/4 = 0.25, which is 25%.

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, 75% = 75/100 = 0.75.

Front

What does it mean if a number is 60% of another number?

Back

It means that the first number is 60 out of every 100 parts of the second number. For example, if the second number is 200, then 60% of 200 is 120.

Front

How do you find what percentage one number is of another?

Back

To find what percentage one number is of another, divide the first number by the second number and multiply by 100. For example, to find what percentage 30 is of 150, calculate (30/150) * 100 = 20%.

Front

If a student scored 45 out of 60 on a test, what percentage did they score?

Back

The student scored 75%. (45/60) * 100 = 75.