Solving Percent Problems Mixed Practice

Front

What is a percent?

Back

A percent is a way of expressing 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 find the percent of a number?

Back

To find the percent of a number, multiply the number by the percent (as a decimal). For example, to find 20% of 50, calculate 50 x 0.20 = 10.

Front

What is the formula to calculate the percentage increase?

Back

Percentage Increase = ((New Value - Original Value) / Original Value) x 100.

Front

What is the formula to calculate the percentage decrease?

Back

Percentage Decrease = ((Original Value - New Value) / Original Value) x 100.

Front

If 40% of a class of 30 students are girls, how many girls are in the class?

Back

12 girls (40% of 30 = 0.40 x 30 = 12).

Front

How do you convert a fraction to a percent?

Back

To convert a fraction to a percent, divide the top number (numerator) by the bottom number (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

How do you calculate the total amount if you know the percent and the part?

Back

Total Amount = Part / (Percent as a decimal). For example, if 20 is 25% of a total, Total = 20 / 0.25 = 80.

Front

If a shirt costs $40 and is on sale for 25% off, how much is the discount?

Back

The discount is $10 (25% of $40 = 0.25 x 40 = 10).

Front

What is 75% of 200?

Back

150 (75% of 200 = 0.75 x 200 = 150).