4.76 is what percent of 113 - 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 113 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 113, so we can write it down as 100%=113.
4. We know, that x% equals 4.76 of the output value, so we can write it down as x%=4.76.
5. Now we have two simple equations:
1) 100%=113
2) x%=4.76
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%=113/4.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.76 is what percent of 113

100%/x%=113/4.76
(100/x)*x=(113/4.76)*x       - we multiply both sides of the equation by x
100=23.739495798319*x       - we divide both sides of the equation by (23.739495798319) to get x
100/23.739495798319=x
4.212389380531=x
x=4.212389380531

now we have:
4.76 is 4.212389380531% of 113