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Solving Percentage Problems: Finding What Percent of a Number Is Given Value

In this guide, we address a common percentage problem: "What percent of 40 is 18?" To solve this, we convert the question into a mathematical equation, which helps in finding the answer efficiently. The equation can be expressed as x * 40 = 18, where x represents the percentage we are looking for. By dividing both sides of the equation by 40, we can simplify and solve for x. Finally, we convert x to a percentage, providing a clear answer to the original problem. This text aims to help learners understand percentage calculations practically.

francois-lesage
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Solving Percentage Problems: Finding What Percent of a Number Is Given Value

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  1. EXAMPLE: WORKING WITH PERCENTS Solving applied problems

  2. PROBLEM WHAT PERCENT OF 40 IS 18?

  3. SOLUTION In order to find the solution to the problem, we need to translate the sentence/question into an equation and then solve the equation. The following translations may be helpful:

  4. Let’s read the question again: WHAT PERCENT WHAT PERCENT OF OF 40 40 IS IS 18? 18? Notice all the keywords above We can translate as follows: x * 40 = 18

  5. So our equation to solve is We can solve for the variable x by dividing both sides of the equation by 40 Simplify and solve for x Finally we change 0.45 to percent because the problem asked for percent.

  6. Solving applied problems involving percent Open University Malaysiais licensed under a Creative Commons Attribution-Noncommercial 3.0 Unported License. Based on a work at http://oer.oum.edu.my. Permissions beyond the scope of this license may be available at http://www.oum.edu.my.

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