8 is what percent of 5810 - 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 5810 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 5810, so we can write it down as 100%=5810.
4. We know, that x% equals 8 of the output value, so we can write it down as x%=8.
5. Now we have two simple equations:
1) 100%=5810
2) x%=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%=5810/8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8 is what percent of 5810

100%/x%=5810/8
(100/x)*x=(5810/8)*x       - we multiply both sides of the equation by x
100=726.25*x       - we divide both sides of the equation by (726.25) to get x
100/726.25=x
0.13769363166954=x
x=0.13769363166954

now we have:
8 is 0.13769363166954% of 5810