11.16 is what percent of 158.98 - 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 158.98 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 158.98, so we can write it down as 100%=158.98.
4. We know, that x% equals 11.16 of the output value, so we can write it down as x%=11.16.
5. Now we have two simple equations:
1) 100%=158.98
2) x%=11.16
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%=158.98/11.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.16 is what percent of 158.98

100%/x%=158.98/11.16
(100/x)*x=(158.98/11.16)*x       - we multiply both sides of the equation by x
100=14.245519713262*x       - we divide both sides of the equation by (14.245519713262) to get x
100/14.245519713262=x
7.0197509120644=x
x=7.0197509120644

now we have:
11.16 is 7.0197509120644% of 158.98