3.76 is what percent of 47.5 - 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 47.5 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 47.5, so we can write it down as 100%=47.5.
4. We know, that x% equals 3.76 of the output value, so we can write it down as x%=3.76.
5. Now we have two simple equations:
1) 100%=47.5
2) x%=3.76
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%=47.5/3.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.76 is what percent of 47.5

100%/x%=47.5/3.76
(100/x)*x=(47.5/3.76)*x       - we multiply both sides of the equation by x
100=12.632978723404*x       - we divide both sides of the equation by (12.632978723404) to get x
100/12.632978723404=x
7.9157894736842=x
x=7.9157894736842

now we have:
3.76 is 7.9157894736842% of 47.5