116.12 is what percent of 1188 - 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 1188 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 1188, so we can write it down as 100%=1188.
4. We know, that x% equals 116.12 of the output value, so we can write it down as x%=116.12.
5. Now we have two simple equations:
1) 100%=1188
2) x%=116.12
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%=1188/116.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 116.12 is what percent of 1188

100%/x%=1188/116.12
(100/x)*x=(1188/116.12)*x       - we multiply both sides of the equation by x
100=10.230795728557*x       - we divide both sides of the equation by (10.230795728557) to get x
100/10.230795728557=x
9.7744107744108=x
x=9.7744107744108

now we have:
116.12 is 9.7744107744108% of 1188