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How Do You Use an Equation to Find a Whole?

Use the percent equation to solve the following problem: 12 is 40% of what number?

Summary

  1. 12 is 40% of something, so 12 is part of a whole.
  2. Our percent is easy to find. It's the number with the percent symbol (%) after it!
  3. We don't know the whole that 12 is a part of. The whole, b, is what we're trying to find!
  4. To convert a percent to a decimal, divide it by 100.
  5. To solve for b, divide each side of the equation by 0.40.
  6. This moves 0.40 to the other side of the equal sign and gets b by itself.

Notes

    1. 12 is our part, so that will be 'a'
    2. 40% is our percent, so that will be 'p'
    3. We are trying to find the whole. so we don't know what 'b' is
    1. When we write a percent equation, the percent needs to be represented as a decimal
    2. So we need to convert 40% to a decimal
    1. Divide the value of the percent by 100.
    2. This moves the decimal point 2 places to the left.
    1. Substitute 12 for 'a' and 0.40 for 'p' into the percent equation
    1. Solve for b by isolating b on one side of the equation.