5.12 is what percent of 5978.37 - 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 5978.37 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 5978.37, so we can write it down as 100%=5978.37.
4. We know, that x% equals 5.12 of the output value, so we can write it down as x%=5.12.
5. Now we have two simple equations:
1) 100%=5978.37
2) x%=5.12
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%=5978.37/5.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.12 is what percent of 5978.37

100%/x%=5978.37/5.12
(100/x)*x=(5978.37/5.12)*x       - we multiply both sides of the equation by x
100=1167.650390625*x       - we divide both sides of the equation by (1167.650390625) to get x
100/1167.650390625=x
0.085642073006522=x
x=0.085642073006522

now we have:
5.12 is 0.085642073006522% of 5978.37