13.94 is what percent of 283.13 - 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 283.13 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 283.13, so we can write it down as 100%=283.13.
4. We know, that x% equals 13.94 of the output value, so we can write it down as x%=13.94.
5. Now we have two simple equations:
1) 100%=283.13
2) x%=13.94
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%=283.13/13.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.94 is what percent of 283.13

100%/x%=283.13/13.94
(100/x)*x=(283.13/13.94)*x       - we multiply both sides of the equation by x
100=20.310616929699*x       - we divide both sides of the equation by (20.310616929699) to get x
100/20.310616929699=x
4.9235333592343=x
x=4.9235333592343

now we have:
13.94 is 4.9235333592343% of 283.13