48.68 is what percent of 62.12 - 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 62.12 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 62.12, so we can write it down as 100%=62.12.
4. We know, that x% equals 48.68 of the output value, so we can write it down as x%=48.68.
5. Now we have two simple equations:
1) 100%=62.12
2) x%=48.68
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%=62.12/48.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.68 is what percent of 62.12

100%/x%=62.12/48.68
(100/x)*x=(62.12/48.68)*x       - we multiply both sides of the equation by x
100=1.2760887428102*x       - we divide both sides of the equation by (1.2760887428102) to get x
100/1.2760887428102=x
78.364455891822=x
x=78.364455891822

now we have:
48.68 is 78.364455891822% of 62.12