13.63 is what percent of 627.63 - 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 627.63 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 627.63, so we can write it down as 100%=627.63.
4. We know, that x% equals 13.63 of the output value, so we can write it down as x%=13.63.
5. Now we have two simple equations:
1) 100%=627.63
2) x%=13.63
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%=627.63/13.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.63 is what percent of 627.63

100%/x%=627.63/13.63
(100/x)*x=(627.63/13.63)*x       - we multiply both sides of the equation by x
100=46.047688921497*x       - we divide both sides of the equation by (46.047688921497) to get x
100/46.047688921497=x
2.1716616477861=x
x=2.1716616477861

now we have:
13.63 is 2.1716616477861% of 627.63