158.45 is what percent of 2110 - 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 2110 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 2110, so we can write it down as 100%=2110.
4. We know, that x% equals 158.45 of the output value, so we can write it down as x%=158.45.
5. Now we have two simple equations:
1) 100%=2110
2) x%=158.45
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%=2110/158.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 158.45 is what percent of 2110

100%/x%=2110/158.45
(100/x)*x=(2110/158.45)*x       - we multiply both sides of the equation by x
100=13.316503628905*x       - we divide both sides of the equation by (13.316503628905) to get x
100/13.316503628905=x
7.5094786729858=x
x=7.5094786729858

now we have:
158.45 is 7.5094786729858% of 2110