102.26 is what percent of 500 - 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 500 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 500, so we can write it down as 100%=500.
4. We know, that x% equals 102.26 of the output value, so we can write it down as x%=102.26.
5. Now we have two simple equations:
1) 100%=500
2) x%=102.26
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%=500/102.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 102.26 is what percent of 500

100%/x%=500/102.26
(100/x)*x=(500/102.26)*x       - we multiply both sides of the equation by x
100=4.8894973596714*x       - we divide both sides of the equation by (4.8894973596714) to get x
100/4.8894973596714=x
20.452=x
x=20.452

now we have:
102.26 is 20.452% of 500