51.5 is what percent of 18.5 - 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 18.5 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 18.5, so we can write it down as 100%=18.5.
4. We know, that x% equals 51.5 of the output value, so we can write it down as x%=51.5.
5. Now we have two simple equations:
1) 100%=18.5
2) x%=51.5
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%=18.5/51.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.5 is what percent of 18.5

100%/x%=18.5/51.5
(100/x)*x=(18.5/51.5)*x       - we multiply both sides of the equation by x
100=0.35922330097087*x       - we divide both sides of the equation by (0.35922330097087) to get x
100/0.35922330097087=x
278.37837837838=x
x=278.37837837838

now we have:
51.5 is 278.37837837838% of 18.5