163.6 is what percent of 177.6 - 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 177.6 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 177.6, so we can write it down as 100%=177.6.
4. We know, that x% equals 163.6 of the output value, so we can write it down as x%=163.6.
5. Now we have two simple equations:
1) 100%=177.6
2) x%=163.6
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%=177.6/163.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 163.6 is what percent of 177.6

100%/x%=177.6/163.6
(100/x)*x=(177.6/163.6)*x       - we multiply both sides of the equation by x
100=1.0855745721271*x       - we divide both sides of the equation by (1.0855745721271) to get x
100/1.0855745721271=x
92.117117117117=x
x=92.117117117117

now we have:
163.6 is 92.117117117117% of 177.6