51.59 is what percent of 618.45 - 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 618.45 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 618.45, so we can write it down as 100%=618.45.
4. We know, that x% equals 51.59 of the output value, so we can write it down as x%=51.59.
5. Now we have two simple equations:
1) 100%=618.45
2) x%=51.59
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%=618.45/51.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.59 is what percent of 618.45

100%/x%=618.45/51.59
(100/x)*x=(618.45/51.59)*x       - we multiply both sides of the equation by x
100=11.987788331072*x       - we divide both sides of the equation by (11.987788331072) to get x
100/11.987788331072=x
8.3418222976797=x
x=8.3418222976797

now we have:
51.59 is 8.3418222976797% of 618.45