198.12 is what percent of 1983.16 - 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 1983.16 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 1983.16, so we can write it down as 100%=1983.16.
4. We know, that x% equals 198.12 of the output value, so we can write it down as x%=198.12.
5. Now we have two simple equations:
1) 100%=1983.16
2) x%=198.12
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%=1983.16/198.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 198.12 is what percent of 1983.16

100%/x%=1983.16/198.12
(100/x)*x=(1983.16/198.12)*x       - we multiply both sides of the equation by x
100=10.009892994145*x       - we divide both sides of the equation by (10.009892994145) to get x
100/10.009892994145=x
9.9901167833155=x
x=9.9901167833155

now we have:
198.12 is 9.9901167833155% of 1983.16