48.76 is what percent of 4232.23 - 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 4232.23 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 4232.23, so we can write it down as 100%=4232.23.
4. We know, that x% equals 48.76 of the output value, so we can write it down as x%=48.76.
5. Now we have two simple equations:
1) 100%=4232.23
2) x%=48.76
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%=4232.23/48.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.76 is what percent of 4232.23

100%/x%=4232.23/48.76
(100/x)*x=(4232.23/48.76)*x       - we multiply both sides of the equation by x
100=86.797169811321*x       - we divide both sides of the equation by (86.797169811321) to get x
100/86.797169811321=x
1.152111298299=x
x=1.152111298299

now we have:
48.76 is 1.152111298299% of 4232.23