48.53 is what percent of 42.2 - 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 42.2 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 42.2, so we can write it down as 100%=42.2.
4. We know, that x% equals 48.53 of the output value, so we can write it down as x%=48.53.
5. Now we have two simple equations:
1) 100%=42.2
2) x%=48.53
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%=42.2/48.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.53 is what percent of 42.2

100%/x%=42.2/48.53
(100/x)*x=(42.2/48.53)*x       - we multiply both sides of the equation by x
100=0.8695652173913*x       - we divide both sides of the equation by (0.8695652173913) to get x
100/0.8695652173913=x
115=x
x=115

now we have:
48.53 is 115% of 42.2