5.16 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 5.16 of the output value, so we can write it down as x%=5.16.
5. Now we have two simple equations:
1) 100%=500
2) x%=5.16
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%=500/5.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.16 is what percent of 500

100%/x%=500/5.16
(100/x)*x=(500/5.16)*x       - we multiply both sides of the equation by x
100=96.899224806202*x       - we divide both sides of the equation by (96.899224806202) to get x
100/96.899224806202=x
1.032=x
x=1.032

now we have:
5.16 is 1.032% of 500