11.44 is what percent of 136.59 - 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 136.59 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 136.59, so we can write it down as 100%=136.59.
4. We know, that x% equals 11.44 of the output value, so we can write it down as x%=11.44.
5. Now we have two simple equations:
1) 100%=136.59
2) x%=11.44
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%=136.59/11.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.44 is what percent of 136.59

100%/x%=136.59/11.44
(100/x)*x=(136.59/11.44)*x       - we multiply both sides of the equation by x
100=11.939685314685*x       - we divide both sides of the equation by (11.939685314685) to get x
100/11.939685314685=x
8.3754301193352=x
x=8.3754301193352

now we have:
11.44 is 8.3754301193352% of 136.59