11.35 is what percent of 36.38 - 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 36.38 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 36.38, so we can write it down as 100%=36.38.
4. We know, that x% equals 11.35 of the output value, so we can write it down as x%=11.35.
5. Now we have two simple equations:
1) 100%=36.38
2) x%=11.35
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%=36.38/11.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.35 is what percent of 36.38

100%/x%=36.38/11.35
(100/x)*x=(36.38/11.35)*x       - we multiply both sides of the equation by x
100=3.2052863436123*x       - we divide both sides of the equation by (3.2052863436123) to get x
100/3.2052863436123=x
31.198460692688=x
x=31.198460692688

now we have:
11.35 is 31.198460692688% of 36.38