108.81 is what percent of 1184 - 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 1184 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 1184, so we can write it down as 100%=1184.
4. We know, that x% equals 108.81 of the output value, so we can write it down as x%=108.81.
5. Now we have two simple equations:
1) 100%=1184
2) x%=108.81
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%=1184/108.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 108.81 is what percent of 1184

100%/x%=1184/108.81
(100/x)*x=(1184/108.81)*x       - we multiply both sides of the equation by x
100=10.881352816837*x       - we divide both sides of the equation by (10.881352816837) to get x
100/10.881352816837=x
9.1900337837838=x
x=9.1900337837838

now we have:
108.81 is 9.1900337837838% of 1184