163.06 is what percent of 155 - 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 155 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 155, so we can write it down as 100%=155.
4. We know, that x% equals 163.06 of the output value, so we can write it down as x%=163.06.
5. Now we have two simple equations:
1) 100%=155
2) x%=163.06
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%=155/163.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 163.06 is what percent of 155

100%/x%=155/163.06
(100/x)*x=(155/163.06)*x       - we multiply both sides of the equation by x
100=0.95057034220532*x       - we divide both sides of the equation by (0.95057034220532) to get x
100/0.95057034220532=x
105.2=x
x=105.2

now we have:
163.06 is 105.2% of 155