18.58 is what percent of 6810 - 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 6810 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 6810, so we can write it down as 100%=6810.
4. We know, that x% equals 18.58 of the output value, so we can write it down as x%=18.58.
5. Now we have two simple equations:
1) 100%=6810
2) x%=18.58
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%=6810/18.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.58 is what percent of 6810

100%/x%=6810/18.58
(100/x)*x=(6810/18.58)*x       - we multiply both sides of the equation by x
100=366.52314316469*x       - we divide both sides of the equation by (366.52314316469) to get x
100/366.52314316469=x
0.27283406754772=x
x=0.27283406754772

now we have:
18.58 is 0.27283406754772% of 6810