Percent Word Problems

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 calculate the percent of a number?

Back

To calculate the percent of a number, divide the part by the whole and then multiply by 100. Formula: (Part/Whole) x 100.

Front

What does it mean if a number is 75% of another number?

Back

If a number is 75% of another number, it means it is three-quarters of that number. For example, 75% of 100 is 75.

Front

How do you find the original price if you know the sale price and the discount percentage?

Back

To find the original price, divide the sale price by (1 - discount rate). For example, if a dress is $20 after an 80% discount, the original price is $20 / 0.20 = $100.

Front

If 15 students passed a test and they represent 75% of the class, how do you find the total number of students?

Back

To find the total number of students, divide the number of students who passed by the percentage they represent in decimal form. Total students = 15 / 0.75 = 20.

Front

What is the formula to find the part when you know the whole and the percent?

Back

The formula to find the part is: Part = Whole x (Percent/100). For example, to find 30% of 200, calculate 200 x 0.30 = 60.

Front

How do you convert a fraction to a percent?

Back

To convert a fraction to a percent, divide the numerator by the denominator and then multiply by 100. For example, 1/4 = 0.25 x 100 = 25%.

Front

What does it mean if a price is reduced by 20%?

Back

If a price is reduced by 20%, it means you pay 80% of the original price. For example, if an item costs $50, a 20% reduction means you pay $40.

Front

How do you find the percentage increase from one number to another?

Back

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

Front

If a bar weighs 40 pounds and contains 30% gold, how do you find the weight of the gold?

Back

To find the weight of the gold, multiply the total weight by the percentage of gold in decimal form. Gold weight = 40 x 0.30 = 12 pounds.