51.61 is what percent of 106.3 - 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 106.3 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 106.3, so we can write it down as 100%=106.3.
4. We know, that x% equals 51.61 of the output value, so we can write it down as x%=51.61.
5. Now we have two simple equations:
1) 100%=106.3
2) x%=51.61
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%=106.3/51.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.61 is what percent of 106.3

100%/x%=106.3/51.61
(100/x)*x=(106.3/51.61)*x       - we multiply both sides of the equation by x
100=2.0596783569076*x       - we divide both sides of the equation by (2.0596783569076) to get x
100/2.0596783569076=x
48.551269990593=x
x=48.551269990593

now we have:
51.61 is 48.551269990593% of 106.3