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

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