6.81 is what percent of 5.78 - 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 5.78 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 5.78, so we can write it down as 100%=5.78.
4. We know, that x% equals 6.81 of the output value, so we can write it down as x%=6.81.
5. Now we have two simple equations:
1) 100%=5.78
2) x%=6.81
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%=5.78/6.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.81 is what percent of 5.78

100%/x%=5.78/6.81
(100/x)*x=(5.78/6.81)*x       - we multiply both sides of the equation by x
100=0.84875183553598*x       - we divide both sides of the equation by (0.84875183553598) to get x
100/0.84875183553598=x
117.82006920415=x
x=117.82006920415

now we have:
6.81 is 117.82006920415% of 5.78