799.8 is what percent of 2037.12 - 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 2037.12 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 2037.12, so we can write it down as 100%=2037.12.
4. We know, that x% equals 799.8 of the output value, so we can write it down as x%=799.8.
5. Now we have two simple equations:
1) 100%=2037.12
2) x%=799.8
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%=2037.12/799.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 799.8 is what percent of 2037.12

100%/x%=2037.12/799.8
(100/x)*x=(2037.12/799.8)*x       - we multiply both sides of the equation by x
100=2.5470367591898*x       - we divide both sides of the equation by (2.5470367591898) to get x
100/2.5470367591898=x
39.261310084826=x
x=39.261310084826

now we have:
799.8 is 39.261310084826% of 2037.12