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Solving Equations with Percents

In this example, a percent equation is solved to determine the given percentage of a number.
Review of percent equations:
Solving percent equations 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.
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.
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.
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.
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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
- Math Tutorial: Graphing parallel and perpendicular lines
- Math Tutorial: Solving quadratics graphically
- Math Tutorial: Solving quadratics by completing the square
- Math Tutorial: Factoring Quadratics
- Math Tutorial: Polynomial Expansion
- Math Tutorial: Solving quadratics using the quadratic formula
- Math Tutorial: Using FOIL
- Math Tutorial: Graphs of Exponential Functions
- Math Tutorial: Laws of Exponents
- Math Tutorial: Graphs of Logarithmic Functions
- Math Tutorial: Graphs of Rational Functions
- Math Tutorial: Combining Rational Expressions
- Math Tutorial: Graphs of Conic Sections