163.88 is what percent of 1027.54 - 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 1027.54 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 1027.54, so we can write it down as 100%=1027.54.
4. We know, that x% equals 163.88 of the output value, so we can write it down as x%=163.88.
5. Now we have two simple equations:
1) 100%=1027.54
2) x%=163.88
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%=1027.54/163.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 163.88 is what percent of 1027.54

100%/x%=1027.54/163.88
(100/x)*x=(1027.54/163.88)*x       - we multiply both sides of the equation by x
100=6.2700756651208*x       - we divide both sides of the equation by (6.2700756651208) to get x
100/6.2700756651208=x
15.94877085077=x
x=15.94877085077

now we have:
163.88 is 15.94877085077% of 1027.54