392.02 is what percent of 3784.79 - 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 3784.79 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 3784.79, so we can write it down as 100%=3784.79.
4. We know, that x% equals 392.02 of the output value, so we can write it down as x%=392.02.
5. Now we have two simple equations:
1) 100%=3784.79
2) x%=392.02
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%=3784.79/392.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 392.02 is what percent of 3784.79

100%/x%=3784.79/392.02
(100/x)*x=(3784.79/392.02)*x       - we multiply both sides of the equation by x
100=9.6545839497985*x       - we divide both sides of the equation by (9.6545839497985) to get x
100/9.6545839497985=x
10.357774143347=x
x=10.357774143347

now we have:
392.02 is 10.357774143347% of 3784.79