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Solving Equations with Percents

In this example, a percent equation is solved to determine what percent one number is of another.
Review of solving equations with percents:
Solving equations with percents uses the same skills as solving any equation. What makes these equations different is the use of percentages. Percent equations fall into one of three categories.
Solving equations with percents: Percent of a number. In this version of a percent equation, you know the percent and you know the number you want to find the percent of. This is the most straightforward type of percent equation.
Solving equations with percents: Percent one number is of another. In this version you are given two numbers and are asked to find what percent one number is of another. In this version of the equation, you don't know the percent and it is the unknown that equation is solved to calculate.
Solving equations with percents: Finding a number that is a given percent of another number. In this version you are given the percent and one of the numbers. You are asked to find what number is the given percent of the given number.
Solving equations with percents requires that you be adept at working with percents. In particular:
- Converting percents to decimals
- Multiplying percents
- Converting fractions or decimals to percents
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The library of Math Tutorials is a comprehensive collection of worked-out solutions to common math problems. This overcomes a common limitation of most textbooks: the handful of worked-out examples for a given concept. We provide the full array of examples and solutions, allowing students to identify patterns among the solutions, in order to aid concept retention. We also have quizzes for many of these topics.
Our current inventory of Math Examples include:
- Math Tutorial: Examples Using Algebra Tiles
- Math Tutorial: Solving Equations in One Variable
- Math Tutorial: Solving Equations with Fractions
- Math Tutorial: Solving Equations with Percents
- Math Tutorial: Slope formula
- Math Tutorial: Midpoint formula
- Math Tutorial: Distance formula
- Math Tutorial: Graphing linear functions, given m and b
- Math Tutorial: Graphing absolute value functions
- Math Tutorial: Graphing linear inequalities
- Math Tutorial: Using the Point-Slope form
- Math Tutorial: Finding the equation of a line given two points