111.8 is what percent of 114 - 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 114 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 114, so we can write it down as 100%=114.
4. We know, that x% equals 111.8 of the output value, so we can write it down as x%=111.8.
5. Now we have two simple equations:
1) 100%=114
2) x%=111.8
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%=114/111.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 111.8 is what percent of 114

100%/x%=114/111.8
(100/x)*x=(114/111.8)*x       - we multiply both sides of the equation by x
100=1.0196779964222*x       - we divide both sides of the equation by (1.0196779964222) to get x
100/1.0196779964222=x
98.070175438596=x
x=98.070175438596

now we have:
111.8 is 98.070175438596% of 114