51 is what percent of 31265 - 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 31265 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 31265, so we can write it down as 100%=31265.
4. We know, that x% equals 51 of the output value, so we can write it down as x%=51.
5. Now we have two simple equations:
1) 100%=31265
2) x%=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%=31265/51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51 is what percent of 31265

100%/x%=31265/51
(100/x)*x=(31265/51)*x       - we multiply both sides of the equation by x
100=613.03921568627*x       - we divide both sides of the equation by (613.03921568627) to get x
100/613.03921568627=x
0.16312170158324=x
x=0.16312170158324

now we have:
51 is 0.16312170158324% of 31265