4.76 is what percent of 31.82 - 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 31.82 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 31.82, so we can write it down as 100%=31.82.
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%=31.82
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%=31.82/4.76
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 31.82

100%/x%=31.82/4.76
(100/x)*x=(31.82/4.76)*x       - we multiply both sides of the equation by x
100=6.6848739495798*x       - we divide both sides of the equation by (6.6848739495798) to get x
100/6.6848739495798=x
14.959145191703=x
x=14.959145191703

now we have:
4.76 is 14.959145191703% of 31.82