# How To Solve Percentages Problems

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Analysis: In this problem, you are being asked 8 is what percent of 20?

You are given two numbers from the proportion above and asked to find the third.

They do it by picking and choosing when to use relative numbers versus absolute numbers: In the United States, those classified as "black" comprise about 12% of the population, while those classified as "white" comprise about 75% of the population.

Since "whites" outnumber "blacks" by more than six to one, it is only reasonable that there would be more "whites" on welfare than "blacks" — in absolute numbers.

What will be the world population in 5 years if we assume that these rates of increase will stay constant for the next 5 years.

In previous lessons, you were shown how to convert a decimal to a percent and a percent to a decimal.Thus, if you were asked to Find 15% of 120, you would multiply .15 by 120, to get an answer of 18.But what would you do if you given this problem: 8 is what percent of 20?The percent is the unknown quantity in this problem. Identify: The phrase 8 is means that 8 is the part.The phrase what percent tells us that percent is the unknown quantity.Every statement of percent can be expressed verbally as: "One number is some percent of another number." Percent statements will always involve three numbers. Thus the statement, "One number is some percent of another number.", can be rewritten: "One number is some percent of another number.", becomes, "The part is some percent of the whole." From previous lessons we know that the word "is" means equals and the word "of" means multiply.Thus, we can rewrite the statement above: The statement: "The part is some percent of the whole.", becomes the equation: the part = some percent x the whole Since a percent is a ratio whose second term is 100, we can use this fact to rewrite the equation above as follows: the part = some percent x the whole becomes: the part = x the whole Dividing both sides by "the whole" we get the following proportion: Since percent statements always involve three numbers, given any two of these numbers, we can find the third using the proportion above. Problem 1: If 8 out of 20 students in a class are boys, what percent of the class is made up of boys?I would posit that any family on welfare is a tragedy, and that the legal structure of the economy should be changed to allow more opportunities for advancement.But others with a vested interest in the status quo just squabble over how the present system, and thus their power base, should be expanded.One of their techniques is to argue for more benefits for "their" group, while claiming that "their" group shouldn't be blamed for the problem.How can they do this, when they're using the same statistics each time?

## Comments How To Solve Percentages Problems

• ###### Percentages Formulas, Tricks and Shortcuts - Wordpandit
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In this article, we provide you a short and effective summary for Percentages. We cover a list of 15 formulas and short-cuts that you can use for Percentage questions. The following is a list of important formulas for Percentage 1. Percent implies “for every hundred”. % is read as percentage and x % is read…

• ###### Percent of" Word Problems Increase and Decrease
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Demonstrates how to set up and solve 'increase-decrease' word problems. Discusses the difference between 'absolute' and 'relative' values, and how these values can be misused.…

• ###### How Do You Solve Percentages?
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A percentage problem can ask for a fraction or decimal to be turned into a percentage, or it can ask for a percentage to be turned into a fraction or decimal. To solve the problem, first figure out what the problem is asking you to do.…

• ###### Tricks to solve Percentage Problems - PDF BankExamsToday
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Percentage is a fraction whose denominator is always 100. x percentage is represented by x%. To express x% as a fraction We know x% = x/100 Thus 10% = 10/100 means 10 parts out of 100 parts = 1/10 means 1 part out of 10 parts…

• ###### Lesson 370 Using Equations to Solve Percent Problems
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Not all folks like to use proportions for solving percent problems, and indeed there is another method. You can set up simple linear equations for many percent problems if you remember three little things The word "is" means equals in the the equation. The word "of" means times in the equation. The thing you are trying to find is the variable.…

• ###### Percent Word Problems
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Percent Word Problems Handout Revised @2009 MLC page 3 of 8 Percent Word Problems Directions Set up a basic percent problem. Sometimes you will have to do extra steps to solve the problem. Follow rounding directions. Answers and solutions start on page 6. 1 A student earned a grade of 80% on a math test that had 20 problems.…

• ###### How to Do Percentages - Step by Step
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How to Do Percentages If you are to calculate marks out of 100 it is usually not difficult so as to find the percentage. Nevertheless, if the marks you have obtained are not exactly out of 100 and you are calculating percentage, it may prove to be quite confusing and problematic for some students as well as for some elderly people.…

• ###### How to Solve percentage problems Math WonderHowTo
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In the 13th lesson, learn how to solve SAT problems using the Official SAT Study Guide. Here are the math problems and their page numbers that this video covers p399 #15 p491 #13 p535 #16. Learn how to solve percentage problems and improve your SAT score by preparing with this math tutorial video.…