Finding the Percent in Percent Problems
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The document explains how to find percentages in various problems using algebraic equations. It provides examples where the percentage can be greater than 100%, illustrating how to set up and solve equations effectively. Key concepts include converting fractions to percentages and understanding the relationship between parts and wholes.
Finding the Percent in Percent Problems
- 1. Finding the Percent in Percent Problems To solve __% of A is B. Change: __ to x, of to * (multiplication) is to = Do the algebra to solve the equation. Write x as a percent.
- 2. Find the percent: __% of 60 is 8.4 Write the equation and solve it: x (60) 8.4 60 x 8.4 60 x 8.4 60 60 x .14 x 14%
- 3. What percent of 20 is 23? Write the equation and solve it: __ % of 20 is 23 x (20) 23 20 x 23 20 x 23 20 20 x 1.15 x 115% Note: the percent can be greater than 100%
- 4. 34 is what percent of 68? Write the equation and solve it: 34 is __% of 68 34 x (68) 34 68 x 34 68 x 68 68 34 17 1 x 68 34 2 .5 x 50% x
- 5. This is basically changing a fraction to a percent. From a previous tweet, we know change a fraction to a percent, divide, and write the decimal as a percent. __% of whole = part Note: the ‘part’ can be larger than the whole. When the part IS larger than the whole, then the percent is greater than 100%.
- 6. Examples: 1. The producer expected 500 410 is __% of 500 people at the concert. 410 people 410 x (500) attended. 410 is what percent of 410 x the expected number? 500 .82 x 82% 2. To advertise her pastry shop, what% of 400 is 142 Heather planned to spend $400. 400 x 142 For newspaper ads she spent 142 $142. What percent of the $400 x 400 has she spent? x .355 35.5%
- 7. Examples: 3. The height of the original picture is 4 inches. Bill wants to enlarge it, on the __% of 4 is 7 photocopier, to make it 7 4x 7 inches high. What percent of 4 inches is 7 inches? 7 x 4 x 1.75 175% The photocopier should be set at 175%.
- 8. Closing Notes Remember