4.92 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 4.92 of the output value, so we can write it down as x%=4.92.
5. Now we have two simple equations:
1) 100%=500
2) x%=4.92
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%=500/4.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.92 is what percent of 500

100%/x%=500/4.92
(100/x)*x=(500/4.92)*x       - we multiply both sides of the equation by x
100=101.62601626016*x       - we divide both sides of the equation by (101.62601626016) to get x
100/101.62601626016=x
0.984=x
x=0.984

now we have:
4.92 is 0.984% of 500