13.71 is what percent of 218.96 - 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 218.96 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 218.96, so we can write it down as 100%=218.96.
4. We know, that x% equals 13.71 of the output value, so we can write it down as x%=13.71.
5. Now we have two simple equations:
1) 100%=218.96
2) x%=13.71
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%=218.96/13.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.71 is what percent of 218.96

100%/x%=218.96/13.71
(100/x)*x=(218.96/13.71)*x       - we multiply both sides of the equation by x
100=15.970824215901*x       - we divide both sides of the equation by (15.970824215901) to get x
100/15.970824215901=x
6.2614176105225=x
x=6.2614176105225

now we have:
13.71 is 6.2614176105225% of 218.96