1.81 is what percent of 11.5 - 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 11.5 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 11.5, so we can write it down as 100%=11.5.
4. We know, that x% equals 1.81 of the output value, so we can write it down as x%=1.81.
5. Now we have two simple equations:
1) 100%=11.5
2) x%=1.81
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%=11.5/1.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.81 is what percent of 11.5

100%/x%=11.5/1.81
(100/x)*x=(11.5/1.81)*x       - we multiply both sides of the equation by x
100=6.353591160221*x       - we divide both sides of the equation by (6.353591160221) to get x
100/6.353591160221=x
15.739130434783=x
x=15.739130434783

now we have:
1.81 is 15.739130434783% of 11.5