13.88 is what percent of 1063.83 - 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 1063.83 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 1063.83, so we can write it down as 100%=1063.83.
4. We know, that x% equals 13.88 of the output value, so we can write it down as x%=13.88.
5. Now we have two simple equations:
1) 100%=1063.83
2) x%=13.88
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%=1063.83/13.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.88 is what percent of 1063.83

100%/x%=1063.83/13.88
(100/x)*x=(1063.83/13.88)*x       - we multiply both sides of the equation by x
100=76.644812680115*x       - we divide both sides of the equation by (76.644812680115) to get x
100/76.644812680115=x
1.3047197390561=x
x=1.3047197390561

now we have:
13.88 is 1.3047197390561% of 1063.83