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Understanding Percentages: Calculation Methods and Real-Life Applications

This guide explains the concept of percentages, illustrating how to calculate them with various examples. Percentage means "per 100," enabling you to evaluate scores and tips. Learn to find percentages using ratios, such as determining correct answers on a test or calculating a tip based on a restaurant bill. The guide includes practical scenarios, like discounts on clothing, demonstrating how to apply percentage calculations in everyday situations. Mastering these skills will enrich your mathematical understanding and real-life decision-making.

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Understanding Percentages: Calculation Methods and Real-Life Applications

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  1. Percents

  2. What is percent? Percent (or per cent) means “per 100” or “out of 100” For example: If you answered 90 out of 100 questions correctly on a test you would receive 90 percent (or 90%) That’s an A!

  3. What is percent? What if your test only had 10 questions and you got 9 correct? 9 out of 10 or is equal to what percent? You could set up a RATIO to find your score. 9 10 9 = ? 10 100 Cross multiply 9 X 100 = 900 Then divide 900 ÷ 10 = 90 or 90%

  4. Try these Cross multiply 1 X 100 = ? Then divide ? ÷ 2 = ? % Cross multiply 1 X 100 = 100 Then divide 100 ÷ 2 = 50 % 1 = ? 2 100 3 = ? 5 100 Cross multiply 3 X 100 = 300 Then divide 300 ÷ 5 = 60 % Cross multiply 3 X 100 = ? Then divide ? ÷ 5 = ? % 2 = ? 25 100 Cross multiply 2 X 100 = 200 Then divide 200 ÷ 25 = 8 % Cross multiply 2 X 100 = ? Then divide ? ÷ 25 = ? %

  5. Now in reverse Suppose you are given a percentage and need to find the equivalent fraction (this happens in real life) For example 10 percent of 20 is what? This questions looks like this: 10 = ? 100 20 Work your ratio Cross multiply 10 X 20 = 200 Then divide 200 ÷ 100 = 2 or 2% 10 out of 100 of

  6. Real life example You are at a restaurant and need to leave a tip for the great service you received. It is normal to leave a tip of 20% for good service. Your bill was $40. What should you leave as a tip? 20 percent of 40 is what? Work your ratio - Cross multiply 20 X 40 = 800 Then divide 800 ÷ 100 = 8 or $8 20 = ? 100 40 20 out of 100 of You should leave a tip of $8

  7. Try this A jacket you want is 25% off. The regular price is $50. How much less will you have to pay? What should you leave as a tip? 25 percent of 50 is what? Work your ratio - Cross multiply 25 X 50 = ? Then divide ?÷ 100 = ? 25 = ? 100 50 20 out of 100 of

  8. Did you get A jacket you want is 25% off. The regular price is $50. How much less will you have to pay? What should you leave as a tip? 25 percent of 50 is what? Work your ratio - Cross multiply 25 X 50 = 1250 Then divide 1250÷ 100 = 12.50 25 = ? 100 50 20 out of 100 of Your jacket will cost $12.50 less $50 - $12.50 = $37.50

  9. The End Please see the teacher for today’s assignment

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