Percent Problem Solving

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 60% of a total, then Total = 30 / (60/100) = 50.

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 then multiply by 100. Formula: ((New Value - Original Value) / Original Value) * 100.

Front

How do you find the percentage decrease?

Back

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

Front

If 40% of a class of 30 students are boys, how many boys are there?

Back

There are 12 boys in the class. (0.40 * 30 = 12)

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, and 0.25 * 100 = 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 is the percentage of girls in a class if there are 10 girls and 15 students total?

Back

The percentage of girls is 66.67%. (10/15) * 100 = 66.67%.

Front

If a student scores 18 out of 30 on a test, what is their percentage score?

Back

The percentage score is 60%. (18/30) * 100 = 60%.