27.58 is what percent of 236.78 - 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 236.78 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 236.78, so we can write it down as 100%=236.78.
4. We know, that x% equals 27.58 of the output value, so we can write it down as x%=27.58.
5. Now we have two simple equations:
1) 100%=236.78
2) x%=27.58
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%=236.78/27.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.58 is what percent of 236.78

100%/x%=236.78/27.58
(100/x)*x=(236.78/27.58)*x       - we multiply both sides of the equation by x
100=8.5852066715011*x       - we divide both sides of the equation by (8.5852066715011) to get x
100/8.5852066715011=x
11.647943238449=x
x=11.647943238449

now we have:
27.58 is 11.647943238449% of 236.78