163.45 is what percent of 183.77 - 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 183.77 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 183.77, so we can write it down as 100%=183.77.
4. We know, that x% equals 163.45 of the output value, so we can write it down as x%=163.45.
5. Now we have two simple equations:
1) 100%=183.77
2) x%=163.45
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%=183.77/163.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 163.45 is what percent of 183.77

100%/x%=183.77/163.45
(100/x)*x=(183.77/163.45)*x       - we multiply both sides of the equation by x
100=1.1243193637198*x       - we divide both sides of the equation by (1.1243193637198) to get x
100/1.1243193637198=x
88.942700114273=x
x=88.942700114273

now we have:
163.45 is 88.942700114273% of 183.77