27.9 is what percent of 232.47 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 232.47 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 232.47, so we can write it down as 100%=232.47.
4. We know, that x% equals 27.9 of the output value, so we can write it down as x%=27.9.
5. Now we have two simple equations:
1) 100%=232.47
2) x%=27.9
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=232.47/27.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.9 is what percent of 232.47

100%/x%=232.47/27.9
(100/x)*x=(232.47/27.9)*x       - we multiply both sides of the equation by x
100=8.3322580645161*x       - we divide both sides of the equation by (8.3322580645161) to get x
100/8.3322580645161=x
12.001548586914=x
x=12.001548586914

now we have:
27.9 is 12.001548586914% of 232.47