48.54 is what percent of 9286.7 - 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 9286.7 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 9286.7, so we can write it down as 100%=9286.7.
4. We know, that x% equals 48.54 of the output value, so we can write it down as x%=48.54.
5. Now we have two simple equations:
1) 100%=9286.7
2) x%=48.54
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%=9286.7/48.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.54 is what percent of 9286.7

100%/x%=9286.7/48.54
(100/x)*x=(9286.7/48.54)*x       - we multiply both sides of the equation by x
100=191.32056036259*x       - we divide both sides of the equation by (191.32056036259) to get x
100/191.32056036259=x
0.52268297673016=x
x=0.52268297673016

now we have:
48.54 is 0.52268297673016% of 9286.7