48.37 is what percent of 812.5 - 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 812.5 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 812.5, so we can write it down as 100%=812.5.
4. We know, that x% equals 48.37 of the output value, so we can write it down as x%=48.37.
5. Now we have two simple equations:
1) 100%=812.5
2) x%=48.37
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%=812.5/48.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.37 is what percent of 812.5

100%/x%=812.5/48.37
(100/x)*x=(812.5/48.37)*x       - we multiply both sides of the equation by x
100=16.797601819309*x       - we divide both sides of the equation by (16.797601819309) to get x
100/16.797601819309=x
5.9532307692308=x
x=5.9532307692308

now we have:
48.37 is 5.9532307692308% of 812.5