48.63 is what percent of 55.566 - 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 55.566 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 55.566, so we can write it down as 100%=55.566.
4. We know, that x% equals 48.63 of the output value, so we can write it down as x%=48.63.
5. Now we have two simple equations:
1) 100%=55.566
2) x%=48.63
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%=55.566/48.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.63 is what percent of 55.566

100%/x%=55.566/48.63
(100/x)*x=(55.566/48.63)*x       - we multiply both sides of the equation by x
100=1.1426280074028*x       - we divide both sides of the equation by (1.1426280074028) to get x
100/1.1426280074028=x
87.51754670122=x
x=87.51754670122

now we have:
48.63 is 87.51754670122% of 55.566