12.7 is what percent of 47.6 - 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 47.6 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 47.6, so we can write it down as 100%=47.6.
4. We know, that x% equals 12.7 of the output value, so we can write it down as x%=12.7.
5. Now we have two simple equations:
1) 100%=47.6
2) x%=12.7
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%=47.6/12.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.7 is what percent of 47.6

100%/x%=47.6/12.7
(100/x)*x=(47.6/12.7)*x       - we multiply both sides of the equation by x
100=3.748031496063*x       - we divide both sides of the equation by (3.748031496063) to get x
100/3.748031496063=x
26.680672268908=x
x=26.680672268908

now we have:
12.7 is 26.680672268908% of 47.6