251.02 is what percent of 495.81 - 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 495.81 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 495.81, so we can write it down as 100%=495.81.
4. We know, that x% equals 251.02 of the output value, so we can write it down as x%=251.02.
5. Now we have two simple equations:
1) 100%=495.81
2) x%=251.02
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%=495.81/251.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 251.02 is what percent of 495.81

100%/x%=495.81/251.02
(100/x)*x=(495.81/251.02)*x       - we multiply both sides of the equation by x
100=1.9751812604573*x       - we divide both sides of the equation by (1.9751812604573) to get x
100/1.9751812604573=x
50.628264859523=x
x=50.628264859523

now we have:
251.02 is 50.628264859523% of 495.81