51 is what percent of 5015 - 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 5015 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 5015, so we can write it down as 100%=5015.
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%=5015
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%=5015/51
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 5015

100%/x%=5015/51
(100/x)*x=(5015/51)*x       - we multiply both sides of the equation by x
100=98.333333333333*x       - we divide both sides of the equation by (98.333333333333) to get x
100/98.333333333333=x
1.0169491525424=x
x=1.0169491525424

now we have:
51 is 1.0169491525424% of 5015