3062.5 is what percent of 38880 - 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 38880 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 38880, so we can write it down as 100%=38880.
4. We know, that x% equals 3062.5 of the output value, so we can write it down as x%=3062.5.
5. Now we have two simple equations:
1) 100%=38880
2) x%=3062.5
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%=38880/3062.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3062.5 is what percent of 38880

100%/x%=38880/3062.5
(100/x)*x=(38880/3062.5)*x       - we multiply both sides of the equation by x
100=12.695510204082*x       - we divide both sides of the equation by (12.695510204082) to get x
100/12.695510204082=x
7.8768004115226=x
x=7.8768004115226

now we have:
3062.5 is 7.8768004115226% of 38880