79.56 is what percent of 238 - 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 238 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 238, so we can write it down as 100%=238.
4. We know, that x% equals 79.56 of the output value, so we can write it down as x%=79.56.
5. Now we have two simple equations:
1) 100%=238
2) x%=79.56
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%=238/79.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 79.56 is what percent of 238

100%/x%=238/79.56
(100/x)*x=(238/79.56)*x       - we multiply both sides of the equation by x
100=2.991452991453*x       - we divide both sides of the equation by (2.991452991453) to get x
100/2.991452991453=x
33.428571428571=x
x=33.428571428571

now we have:
79.56 is 33.428571428571% of 238