1.36 is what percent of 27.38 - 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 27.38 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 27.38, so we can write it down as 100%=27.38.
4. We know, that x% equals 1.36 of the output value, so we can write it down as x%=1.36.
5. Now we have two simple equations:
1) 100%=27.38
2) x%=1.36
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%=27.38/1.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.36 is what percent of 27.38

100%/x%=27.38/1.36
(100/x)*x=(27.38/1.36)*x       - we multiply both sides of the equation by x
100=20.132352941176*x       - we divide both sides of the equation by (20.132352941176) to get x
100/20.132352941176=x
4.9671292914536=x
x=4.9671292914536

now we have:
1.36 is 4.9671292914536% of 27.38