1138.43 is what percent of 6240 - 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 6240 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 6240, so we can write it down as 100%=6240.
4. We know, that x% equals 1138.43 of the output value, so we can write it down as x%=1138.43.
5. Now we have two simple equations:
1) 100%=6240
2) x%=1138.43
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%=6240/1138.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1138.43 is what percent of 6240

100%/x%=6240/1138.43
(100/x)*x=(6240/1138.43)*x       - we multiply both sides of the equation by x
100=5.4812329260473*x       - we divide both sides of the equation by (5.4812329260473) to get x
100/5.4812329260473=x
18.244070512821=x
x=18.244070512821

now we have:
1138.43 is 18.244070512821% of 6240