What is 11.16 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 158.98 is 100%, so we can write it down as 158.98=100%.
4. We know, that x is 11.16% of the output value, so we can write it down as x=11.16%.
5. Now we have two simple equations:
1) 158.98=100%
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:
158.98/x=100%/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 what is 11.16% of 158.98

158.98/x=100/11.16
(158.98/x)*x=(100/11.16)*x       - we multiply both sides of the equation by x
158.98=8.9605734767025*x       - we divide both sides of the equation by (8.9605734767025) to get x
158.98/8.9605734767025=x
17.742168=x
x=17.742168

now we have:
11.16% of 158.98=17.742168