48.48 is what percent of 7692.31 - 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 7692.31 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 7692.31, so we can write it down as 100%=7692.31.
4. We know, that x% equals 48.48 of the output value, so we can write it down as x%=48.48.
5. Now we have two simple equations:
1) 100%=7692.31
2) x%=48.48
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%=7692.31/48.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.48 is what percent of 7692.31

100%/x%=7692.31/48.48
(100/x)*x=(7692.31/48.48)*x       - we multiply both sides of the equation by x
100=158.66976072607*x       - we divide both sides of the equation by (158.66976072607) to get x
100/158.66976072607=x
0.63023981092806=x
x=0.63023981092806

now we have:
48.48 is 0.63023981092806% of 7692.31