94.06 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 94.06 of the output value, so we can write it down as x%=94.06.
5. Now we have two simple equations:
1) 100%=500
2) x%=94.06
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%=500/94.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 94.06 is what percent of 500

100%/x%=500/94.06
(100/x)*x=(500/94.06)*x       - we multiply both sides of the equation by x
100=5.315755900489*x       - we divide both sides of the equation by (5.315755900489) to get x
100/5.315755900489=x
18.812=x
x=18.812

now we have:
94.06 is 18.812% of 500