118.13 is what percent of 11279.59 - 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 11279.59 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 11279.59, so we can write it down as 100%=11279.59.
4. We know, that x% equals 118.13 of the output value, so we can write it down as x%=118.13.
5. Now we have two simple equations:
1) 100%=11279.59
2) x%=118.13
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%=11279.59/118.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 118.13 is what percent of 11279.59

100%/x%=11279.59/118.13
(100/x)*x=(11279.59/118.13)*x       - we multiply both sides of the equation by x
100=95.48455091848*x       - we divide both sides of the equation by (95.48455091848) to get x
100/95.48455091848=x
1.0472898394357=x
x=1.0472898394357

now we have:
118.13 is 1.0472898394357% of 11279.59