252.51 is what percent of 512.85 - 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 512.85 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 512.85, so we can write it down as 100%=512.85.
4. We know, that x% equals 252.51 of the output value, so we can write it down as x%=252.51.
5. Now we have two simple equations:
1) 100%=512.85
2) x%=252.51
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%=512.85/252.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 252.51 is what percent of 512.85

100%/x%=512.85/252.51
(100/x)*x=(512.85/252.51)*x       - we multiply both sides of the equation by x
100=2.0310086729238*x       - we divide both sides of the equation by (2.0310086729238) to get x
100/2.0310086729238=x
49.236618894414=x
x=49.236618894414

now we have:
252.51 is 49.236618894414% of 512.85