48.38 is what percent of 4090.63 - 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 4090.63 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 4090.63, so we can write it down as 100%=4090.63.
4. We know, that x% equals 48.38 of the output value, so we can write it down as x%=48.38.
5. Now we have two simple equations:
1) 100%=4090.63
2) x%=48.38
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%=4090.63/48.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.38 is what percent of 4090.63

100%/x%=4090.63/48.38
(100/x)*x=(4090.63/48.38)*x       - we multiply both sides of the equation by x
100=84.55208763952*x       - we divide both sides of the equation by (84.55208763952) to get x
100/84.55208763952=x
1.1827029088429=x
x=1.1827029088429

now we have:
48.38 is 1.1827029088429% of 4090.63