298.61 is what percent of 5082.38 - 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 5082.38 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 5082.38, so we can write it down as 100%=5082.38.
4. We know, that x% equals 298.61 of the output value, so we can write it down as x%=298.61.
5. Now we have two simple equations:
1) 100%=5082.38
2) x%=298.61
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%=5082.38/298.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 298.61 is what percent of 5082.38

100%/x%=5082.38/298.61
(100/x)*x=(5082.38/298.61)*x       - we multiply both sides of the equation by x
100=17.020126586518*x       - we divide both sides of the equation by (17.020126586518) to get x
100/17.020126586518=x
5.8753969596921=x
x=5.8753969596921

now we have:
298.61 is 5.8753969596921% of 5082.38