12.71 is what percent of 46.29 - 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 46.29 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 46.29, so we can write it down as 100%=46.29.
4. We know, that x% equals 12.71 of the output value, so we can write it down as x%=12.71.
5. Now we have two simple equations:
1) 100%=46.29
2) x%=12.71
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%=46.29/12.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.71 is what percent of 46.29

100%/x%=46.29/12.71
(100/x)*x=(46.29/12.71)*x       - we multiply both sides of the equation by x
100=3.6420141620771*x       - we divide both sides of the equation by (3.6420141620771) to get x
100/3.6420141620771=x
27.457334197451=x
x=27.457334197451

now we have:
12.71 is 27.457334197451% of 46.29