296.12 is what percent of 3948.33 - 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 3948.33 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 3948.33, so we can write it down as 100%=3948.33.
4. We know, that x% equals 296.12 of the output value, so we can write it down as x%=296.12.
5. Now we have two simple equations:
1) 100%=3948.33
2) x%=296.12
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%=3948.33/296.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 296.12 is what percent of 3948.33

100%/x%=3948.33/296.12
(100/x)*x=(3948.33/296.12)*x       - we multiply both sides of the equation by x
100=13.33354721059*x       - we divide both sides of the equation by (13.33354721059) to get x
100/13.33354721059=x
7.4998796959727=x
x=7.4998796959727

now we have:
296.12 is 7.4998796959727% of 3948.33