51.8 is what percent of 863.33 - 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 863.33 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 863.33, so we can write it down as 100%=863.33.
4. We know, that x% equals 51.8 of the output value, so we can write it down as x%=51.8.
5. Now we have two simple equations:
1) 100%=863.33
2) x%=51.8
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%=863.33/51.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.8 is what percent of 863.33

100%/x%=863.33/51.8
(100/x)*x=(863.33/51.8)*x       - we multiply both sides of the equation by x
100=16.666602316602*x       - we divide both sides of the equation by (16.666602316602) to get x
100/16.666602316602=x
6.0000231661126=x
x=6.0000231661126

now we have:
51.8 is 6.0000231661126% of 863.33