38292.5 is what percent of 48312.75 - 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 48312.75 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 48312.75, so we can write it down as 100%=48312.75.
4. We know, that x% equals 38292.5 of the output value, so we can write it down as x%=38292.5.
5. Now we have two simple equations:
1) 100%=48312.75
2) x%=38292.5
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%=48312.75/38292.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38292.5 is what percent of 48312.75

100%/x%=48312.75/38292.5
(100/x)*x=(48312.75/38292.5)*x       - we multiply both sides of the equation by x
100=1.2616765685186*x       - we divide both sides of the equation by (1.2616765685186) to get x
100/1.2616765685186=x
79.259615732907=x
x=79.259615732907

now we have:
38292.5 is 79.259615732907% of 48312.75