45.83 is what percent of 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 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 13, so we can write it down as 100%=13.
4. We know, that x% equals 45.83 of the output value, so we can write it down as x%=45.83.
5. Now we have two simple equations:
1) 100%=13
2) x%=45.83
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%=13/45.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.83 is what percent of 13

100%/x%=13/45.83
(100/x)*x=(13/45.83)*x       - we multiply both sides of the equation by x
100=0.28365699323587*x       - we divide both sides of the equation by (0.28365699323587) to get x
100/0.28365699323587=x
352.53846153846=x
x=352.53846153846

now we have:
45.83 is 352.53846153846% of 13