11.56 is what percent of 258.14 - 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 258.14 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 258.14, so we can write it down as 100%=258.14.
4. We know, that x% equals 11.56 of the output value, so we can write it down as x%=11.56.
5. Now we have two simple equations:
1) 100%=258.14
2) x%=11.56
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%=258.14/11.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.56 is what percent of 258.14

100%/x%=258.14/11.56
(100/x)*x=(258.14/11.56)*x       - we multiply both sides of the equation by x
100=22.33044982699*x       - we divide both sides of the equation by (22.33044982699) to get x
100/22.33044982699=x
4.4781901293872=x
x=4.4781901293872

now we have:
11.56 is 4.4781901293872% of 258.14