849.39 is what percent of 2512.49 - 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 2512.49 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 2512.49, so we can write it down as 100%=2512.49.
4. We know, that x% equals 849.39 of the output value, so we can write it down as x%=849.39.
5. Now we have two simple equations:
1) 100%=2512.49
2) x%=849.39
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%=2512.49/849.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 849.39 is what percent of 2512.49

100%/x%=2512.49/849.39
(100/x)*x=(2512.49/849.39)*x       - we multiply both sides of the equation by x
100=2.957993383487*x       - we divide both sides of the equation by (2.957993383487) to get x
100/2.957993383487=x
33.806701718216=x
x=33.806701718216

now we have:
849.39 is 33.806701718216% of 2512.49