199.81 is what percent of 1163.83 - 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 1163.83 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 1163.83, so we can write it down as 100%=1163.83.
4. We know, that x% equals 199.81 of the output value, so we can write it down as x%=199.81.
5. Now we have two simple equations:
1) 100%=1163.83
2) x%=199.81
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%=1163.83/199.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 199.81 is what percent of 1163.83

100%/x%=1163.83/199.81
(100/x)*x=(1163.83/199.81)*x       - we multiply both sides of the equation by x
100=5.8246834492768*x       - we divide both sides of the equation by (5.8246834492768) to get x
100/5.8246834492768=x
17.168314960089=x
x=17.168314960089

now we have:
199.81 is 17.168314960089% of 1163.83