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Find Percentages of Numbers

Answer Keys Here

Aligned To Common Core Standard:

Grade 6 Ratios - 6.RP.A.3c

How to Find Percentages of Numbers (Example: What is 30% of 120?) - The concept in mathematics that gives a sense of proportion or scale is what we term as percentages. It helps in evaluating the results of surveys and identify the trends in a data set. Generally, percentages lie between 0 and 100, but there are cases when the calculated percentage exceeds 100. Per-cent is a Latin word that means for every 100. Finding percentages of numbers is easy, and it is used in day-to-day applications, including calculating discounted prices and the percentage of profit generated. The following example will help you grasp the concept and understand exactly how you calculate the percentage of a number. Example: What is 30% of 120. To calculate 30% of 120, you simply have to convert 30% into a fraction. 30% can be written as 30/100, you can further simplify the fraction or multiply it directly with the number. The term 'of' means to multiply. You have to multiply the fraction with the number. 30/100 × 120 = 36. These lessons and worksheets have students learn how to find the value of a percentage of an integer.

Printable Worksheets And Lessons

Homework Sheets

I formatted the problems in different ways to prep kids for all orientations possible.

  • Homework 1 - If you are strong with fractions, here is another method. We can look at 40 out of 100 as 40/100.
  • Homework 2 - Convert the percentage to a decimal.
  • Homework 3 - Using the formula: x = (Decimal Value) (Number)

Practice Worksheets

You got to love the images I choose for these!

  • Practice 1 - The best way to do this is to set it up as a proportion.
  • Practice 2 - When solving percentage problems, the basic formula is: x = percentage as a decimal (Original Value)
  • Practice 3 - To solve the given expression we have to first remove the sign of % by dividing the number by 100.

Math Skill Quizzes

These are straight forward no nonsense problems.

  • Quiz 1 - See if the lessons really sunk in?
  • Quiz 2 - Why not work hard to get your value up in the end?
  • Quiz 3 - Once you get to the end value simplify the expression to its lowest terms.

Real World Examples of This Skill

This skill applies to just about every form of consumer spending practice you could think of. Many big-name retailers are known to use this skill to their advantage to make their customers feel as if they are getting a bargain. A simple example would be if a retailer wanted to sell a sweater for $40. Most people would not get excited at that price or feel a sense of urgency to purchase the sweater. If the retailer put the same sweater on rack that was marked 50% off and marked the original price as $80. This would leave the sale price at the original intended price of $40. This would indicate to any customer that they are getting a huge value and they feel the need to make the purchase. This is why I am very weary of retail stores that seem to always have a sale going on. This skill can also help you understand what you need to score on that last exam to get the desired class average you have. We can use it to convert between percentages and raw score values. This comes down to understanding what goes into a class average. To make it simple, we examine a class average that is determined solely by test grades. If you wanted to score an 85% class average and you currently have an 80% average, it would be nice to know what you needed to score on that last test to reach that average. You have had 2 tests previously and you have 1 last test to determine your class average. This would mean that you needed to reach a raw score of 85 x 3 or 255. You currently have a raw score of 80 x 2 or 160. This would mean you would need to score 255 - 160 or 95% on your final test to achieve that score.