67.81 is what percent of 1093.75 - 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 1093.75 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 1093.75, so we can write it down as 100%=1093.75.
4. We know, that x% equals 67.81 of the output value, so we can write it down as x%=67.81.
5. Now we have two simple equations:
1) 100%=1093.75
2) x%=67.81
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%=1093.75/67.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67.81 is what percent of 1093.75

100%/x%=1093.75/67.81
(100/x)*x=(1093.75/67.81)*x       - we multiply both sides of the equation by x
100=16.129626898688*x       - we divide both sides of the equation by (16.129626898688) to get x
100/16.129626898688=x
6.1997714285714=x
x=6.1997714285714

now we have:
67.81 is 6.1997714285714% of 1093.75