4.76 is what percent of 11.51 - 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 11.51 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 11.51, so we can write it down as 100%=11.51.
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%=11.51
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%=11.51/4.76
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 11.51

100%/x%=11.51/4.76
(100/x)*x=(11.51/4.76)*x       - we multiply both sides of the equation by x
100=2.4180672268908*x       - we divide both sides of the equation by (2.4180672268908) to get x
100/2.4180672268908=x
41.355343179844=x
x=41.355343179844

now we have:
4.76 is 41.355343179844% of 11.51