51.53 is what percent of 104.71 - 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 104.71 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 104.71, so we can write it down as 100%=104.71.
4. We know, that x% equals 51.53 of the output value, so we can write it down as x%=51.53.
5. Now we have two simple equations:
1) 100%=104.71
2) x%=51.53
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%=104.71/51.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.53 is what percent of 104.71

100%/x%=104.71/51.53
(100/x)*x=(104.71/51.53)*x       - we multiply both sides of the equation by x
100=2.032020182418*x       - we divide both sides of the equation by (2.032020182418) to get x
100/2.032020182418=x
49.212109636138=x
x=49.212109636138

now we have:
51.53 is 49.212109636138% of 104.71