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Understanding Percentages: Calculation and Real-World Applications

This guide provides a comprehensive overview of percentages, including how to calculate them and their applications in real-world situations. Learn the fundamentals of finding percentage values using fractions of whole numbers, and see practical examples involving simple interest, percentage increase, and decrease. Through set proportions and cross multiplication, you’ll gain skills applicable to taxes, tips, and discounts, enhancing your mathematical understanding and enhancing problem-solving abilities.

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Understanding Percentages: Calculation and Real-World Applications

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  1. Percentages By Harris, Draven, And Gaige

  2. A percentage is a fraction of a whole number. • To find the percentage of a whole number you divide the number you do the fraction of that number divided by the whole. • I.E.- If the total number is 35 and I need to find what percentage of 7 is in 35. so I will divide 7 by 35 and get .20. I will move the decimal over twice and get 20%. This means that 7 is 20% of 35. What is a percentage and how do I find it?

  3. The application of percentages is using proportions to solve real world problems involving percentages. • To do this you set up a proportion and cross multiply and you use the variable for taxes, tips, and discounts. Application of percentages

  4. n/75 x 15/100 cross multiply • 100n/100 x 1,125/100 • N=11.25 Example 1: App. Of percent's

  5. Simple interest is a quick method of finding interest on investments and is found by multiplying interest (I) by amount invested (P) by amount of time invested (T) (in this case, years) Simple Intrest

  6. R= 0.045 x P=500 x T=3 =I? • I=67.5 Example 2: Simple Interest

  7. Percent of increase is the measurement of how much something gains value. • To find percent of increase you take new amount- original amount/ original amount. Percent of Increase

  8. Population of a city in 1990: 513,117 • Population of same city in 2000: 583,845 • 583,845 – 513,117 513,117 =0.13783… Example 3: Percent of Increase

  9. Percent of decrease is the measurement of how much something loses value. • To find percent of decrease original amount- new amount/ original amount. Percent of Decrease

  10. Ave. score of a team season 1: 74.9 • Ave score season 2: 61.6 • 74.9 – 61.6 • 74.9 • =0.17757 Example 4: Percent of Decrease

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