Solving Percent Word Problems 1

Front

What is a percent?

Back

A percent is a ratio expressed as a fraction of 100. It represents a part of a whole.

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 15% of 100, calculate 100 x 0.15 = 15.

Front

What does it mean to find a percentage decrease?

Back

A percentage decrease shows how much a value has decreased relative to its original value, expressed as a percentage.

Front

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

Back

Use the formula: Original Price = Sale Price / (1 - Discount Percentage). For example, if the sale price is $32.89 and the discount is 15%, the original price is $32.89 / (1 - 0.15) = $38.69.

Front

What is the formula to find the percent of a total?

Back

The formula is: Percent = (Part / Whole) x 100. For example, if 12 out of 30 cars finished a race, the percent is (12 / 30) x 100 = 40%.

Front

If 20% of a group voted in favor of a proposal, how do you find how many voted against it?

Back

Subtract the number of votes in favor from the total. If there are 20 members and 20% voted in favor, then 4 voted in favor, so 20 - 4 = 16 voted against.

Front

What is a tax rate?

Back

A tax rate is the percentage at which an individual or corporation is taxed. For example, if the tax rate is 15%, then 15% of income is taken as tax.

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 multiply by 100. For example, 1/4 = (1 ÷ 4) x 100 = 25%.

Front

What is the relationship between percentages and fractions?

Back

Percentages are a specific type of fraction where the denominator is always 100. For example, 25% is equivalent to 25/100.

Front

How do you find the percent of a number when given the total?

Back

Divide the part by the total and multiply by 100. For example, if 15 out of 50 students passed, the percent is (15 / 50) x 100 = 30%.