Percents and Word 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 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 20% of 50, calculate 50 * 0.20 = 10.

Front

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

Back

The formula is: Total = Part / (Percentage in decimal form). For example, if 30 is 60% of a total, the total is 30 / 0.60 = 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 multiply by 100. Formula: ((New Value - Original Value) / Original Value) * 100.

Front

What is a word problem in mathematics?

Back

A word problem is a mathematical problem that is presented in the form of a narrative or story, requiring the reader to extract relevant information to solve it.

Front

How do you set up a word problem involving percentages?

Back

Identify the total amount, the percentage given, and what you need to find. Set up an equation using the percentage formula.

Front

If a shirt costs $40 and is on sale for 25% off, how much do you save?

Back

You save $10. Calculation: 25% of $40 = 0.25 * 40 = $10.

Front

What is the relationship between fractions and percentages?

Back

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

Front

How do you find the total amount from a sale price and discount?

Back

Add the discount to the sale price. For example, if a CD costs $15 after a 25% discount, the original price is $15 / (1 - 0.25) = $20.

Front

What is a commission?

Back

A commission is a fee paid to an agent or employee for their services, usually calculated as a percentage of the total sales.