39.58 is what percent of 599.71 - 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 599.71 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 599.71, so we can write it down as 100%=599.71.
4. We know, that x% equals 39.58 of the output value, so we can write it down as x%=39.58.
5. Now we have two simple equations:
1) 100%=599.71
2) x%=39.58
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%=599.71/39.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.58 is what percent of 599.71

100%/x%=599.71/39.58
(100/x)*x=(599.71/39.58)*x       - we multiply both sides of the equation by x
100=15.151844365841*x       - we divide both sides of the equation by (15.151844365841) to get x
100/15.151844365841=x
6.5998565973554=x
x=6.5998565973554

now we have:
39.58 is 6.5998565973554% of 599.71