158.15 is what percent of 2112.23 - 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 2112.23 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 2112.23, so we can write it down as 100%=2112.23.
4. We know, that x% equals 158.15 of the output value, so we can write it down as x%=158.15.
5. Now we have two simple equations:
1) 100%=2112.23
2) x%=158.15
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%=2112.23/158.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 158.15 is what percent of 2112.23

100%/x%=2112.23/158.15
(100/x)*x=(2112.23/158.15)*x       - we multiply both sides of the equation by x
100=13.355864685425*x       - we divide both sides of the equation by (13.355864685425) to get x
100/13.355864685425=x
7.4873474953012=x
x=7.4873474953012

now we have:
158.15 is 7.4873474953012% of 2112.23