111.93 is what percent of 199.96 - 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 199.96 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 199.96, so we can write it down as 100%=199.96.
4. We know, that x% equals 111.93 of the output value, so we can write it down as x%=111.93.
5. Now we have two simple equations:
1) 100%=199.96
2) x%=111.93
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%=199.96/111.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 111.93 is what percent of 199.96

100%/x%=199.96/111.93
(100/x)*x=(199.96/111.93)*x       - we multiply both sides of the equation by x
100=1.7864736889127*x       - we divide both sides of the equation by (1.7864736889127) to get x
100/1.7864736889127=x
55.976195239048=x
x=55.976195239048

now we have:
111.93 is 55.976195239048% of 199.96