512.49 is what percent of 849 - 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 849 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 849, so we can write it down as 100%=849.
4. We know, that x% equals 512.49 of the output value, so we can write it down as x%=512.49.
5. Now we have two simple equations:
1) 100%=849
2) x%=512.49
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%=849/512.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 512.49 is what percent of 849

100%/x%=849/512.49
(100/x)*x=(849/512.49)*x       - we multiply both sides of the equation by x
100=1.6566176901013*x       - we divide both sides of the equation by (1.6566176901013) to get x
100/1.6566176901013=x
60.363957597173=x
x=60.363957597173

now we have:
512.49 is 60.363957597173% of 849