708.33 is what percent of 3732.33 - 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 3732.33 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 3732.33, so we can write it down as 100%=3732.33.
4. We know, that x% equals 708.33 of the output value, so we can write it down as x%=708.33.
5. Now we have two simple equations:
1) 100%=3732.33
2) x%=708.33
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%=3732.33/708.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 708.33 is what percent of 3732.33

100%/x%=3732.33/708.33
(100/x)*x=(3732.33/708.33)*x       - we multiply both sides of the equation by x
100=5.269196560925*x       - we divide both sides of the equation by (5.269196560925) to get x
100/5.269196560925=x
18.978225398076=x
x=18.978225398076

now we have:
708.33 is 18.978225398076% of 3732.33