155.12 is what percent of 310.22 - 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 310.22 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 310.22, so we can write it down as 100%=310.22.
4. We know, that x% equals 155.12 of the output value, so we can write it down as x%=155.12.
5. Now we have two simple equations:
1) 100%=310.22
2) x%=155.12
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%=310.22/155.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 155.12 is what percent of 310.22

100%/x%=310.22/155.12
(100/x)*x=(310.22/155.12)*x       - we multiply both sides of the equation by x
100=1.9998710675606*x       - we divide both sides of the equation by (1.9998710675606) to get x
100/1.9998710675606=x
50.003223518793=x
x=50.003223518793

now we have:
155.12 is 50.003223518793% of 310.22