168.11 is what percent of 158.22 - 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 158.22 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 158.22, so we can write it down as 100%=158.22.
4. We know, that x% equals 168.11 of the output value, so we can write it down as x%=168.11.
5. Now we have two simple equations:
1) 100%=158.22
2) x%=168.11
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%=158.22/168.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 168.11 is what percent of 158.22

100%/x%=158.22/168.11
(100/x)*x=(158.22/168.11)*x       - we multiply both sides of the equation by x
100=0.94116947236928*x       - we divide both sides of the equation by (0.94116947236928) to get x
100/0.94116947236928=x
106.25079003919=x
x=106.25079003919

now we have:
168.11 is 106.25079003919% of 158.22